What is the total number of common tangents that can be drawn to the circles
Answers
The total number of common tangents that can be drawn to the circles is 2.
What is a tangent?A tangent serves as line that touches the circle at a single point whereby the point where tangent meets the circle is the tangency.
A tangent to a circle can be described as the straight line that touches the circle at only one point.
Therefore, from the definition, The total number of common tangents that can be drawn to the circles is 2.
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Related Questions
A skateboard halfpipe is being designed for a competition. the halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 40 ft above the ground. using the ground as the x-axis, where should the base of the halfpipe be positioned? which equation best describes the equation of the halfpipe?
Answers
The equation of the halfpipe is Option A , (0, 20); Y equals one over eighty times x squared plus 20.
The equation of the halfpipe is Y = X²/80 +20.
What is parabola ?
A parabola is the set of points in a plane that are the same distance from a given point and a given line in that plane. The given point is called the focus, and the line is called the directrix. The midpoint of the perpendicular segment from the focus to the directrix is called the vertex of the parabola.The equation of parabola is given by
(X-h)² = 4p(Y-k)²
In this case h = 0
So we get
Y = X²/4P +k
Focus point is (h, p+k) , (p+k) = 40
Hence h, k = (0,20)
P = 40-k = 20
Equation Y = X²/80 +20
Therefore, the equation of the halfpipe is Y = X²/80 +20
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The complete question is -
A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 20 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the equation of the halfpipe?
(0, 20); y equals one over eighty times x squared plus 20
(0, 20); y equals one over eighty times x squared minus 20
(0, 10); y equals one over forty times x squared plus 10
(0, 10); y equals one over forty times x squared minus 10
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answers
[tex]y = - 5x + n \\ [/tex]
( -1 , -2 ) satisfies the equation of y[tex] - 2 = - 5( - 1) + n \\ - 2 = 5 + n \\ n = - 7[/tex]
[tex]y = - 5x - 7 \\ 5x + y = - 7[/tex]
Option 2Answer:
○ [tex]5x + y = -7[/tex]
Step-by-step explanation:
The formula for forming the equation of a line given a point and a slope is:
[tex]\boxed{y- y_1 = m(x - x_1)}[/tex],
where:
m = slope (-5)
[tex]y_1[/tex] = y-coordinate of point (-2)
[tex]x_1[/tex] = x-coordinate of point (-1).
Substituting these values into the formula:
[tex]y - (-2) = -5(x - (-1))[/tex]
⇒ [tex]y + 2 = -5(x + 1)[/tex]
⇒ [tex]y + 2 = -5x -5[/tex] [expanding the brackets]
⇒ [tex]y = -5x -5 - 2[/tex] [subtracting 2 from both sides]
⇒ [tex]y = -5x - 7[/tex]
⇒ [tex]5x + y = -7[/tex] [adding [tex]5x[/tex] to both sides]
This means that the second option is correct.
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THIS IS REALLY IMPORTANT I NEED IT DONE BY TODAY PLEASE
Answers
Answer:
15. 155°
16. 115°
Step-by-step explanation:
15.
Use the big triangle.
At the top, the supplement of 60° is 120°.
The angle measuring 120° and the angle measuring 35° are the remote interior angles to exterior angle x.
120° + 35° = x
x = 155°
16.
See picture below.
x = 115°
Answer:
15) x = 155°
16) x = 115°
Step-by-step explanation:
The theorem that relates an exterior angle of a triangle to the opposite (remote) interior angles is helpful for these problems. It says the exterior angle is equal to the sum of the remote interior angles.
15)
Remove the altitude line and consider the interior angle of the triangle next to the exterior angle marked 60°. That interior angle will be ...
180° -60° = 120°
Then the angle we just found and the one marked 35° are "remote" to the exterior angle marked x. The theorem cited at the beginning tells us ...
x = 35° +120°
x = 155°
16)Extend the left side of the "parallelogram" (the side with the arrow) upward until it meets the top horizontal line. This cuts off a triangle with an exterior angle marked x, an interior angle marked 50°, and another remote interior angle at the top edge of that triangle.
The opposite angles of a parallelogram are congruent, so the external angle to the triangle at the top edge will be x, and the adjacent interior angle in the triangle will be (180° -x).
The exterior angle (x) is equal to the sum of the remote interior angles (50° and (180° -x)), so we have ...
x = 50 +(180 -x)
2x = 230 . . . . . . add x, simplify
x = 115 . . . . . . . divide by 2
The measure of the angles marked x is 115°.
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answers
Answer:
A [tex] \dfrac{2x^3}{3yw} [/tex]
Step-by-step explanation:
[tex] \dfrac{xy(24x^2y^3w)}{36y^5w^2} = [/tex]
[tex] = \dfrac{2 \times 12 x^3y^4w}{3 \times 12y^5w^2} [/tex]
[tex] = \dfrac{2x^3}{3yw} [/tex]
In need of help for answers
Answers
The piecewise equation for the function shown in the diagram is [tex]f(x)=\left \{ {{{[\frac{9}{10}x+5.9\ \ \ -6 \leq x\leq -1 } \atop {[2\ \ \ \ \ \ \ \ \ \ \ -1 < x\leq 2}} \atop {[-\frac{5}{2}x+6\ \ \ 2 < x\leq 6 }} \right.[/tex]
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
From the diagram using the point (-6, 0.5) and (-1, 5):
y - 0.5 = [(5 - 0.5)/(-1 - (-6))](x - (-6))
y = (9/10)x + 5.9
Also, using the point (2, 1) and (4, -4):
y - 1 = [(-4 - 1)/(4 - 2)](x - 2)
y = -(5/2)x + 6
The piecewise equation for the function shown in the diagram is [tex]f(x)=\left \{ {{{[\frac{9}{10}x+5.9\ \ \ -6 \leq x\leq -1 } \atop {[2\ \ \ \ \ \ \ \ \ \ \ -1 < x\leq 2}} \atop {[-\frac{5}{2}x+6\ \ \ 2 < x\leq 6 }} \right.[/tex]
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Write the algebraic expression that represents the following: The difference of thirteen and a number
Answers
[tex]\Large\texttt{Answer}[/tex]
[tex]\bold{n-13}[/tex]
[tex]\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}[/tex]
[tex]\Large\texttt{Process}[/tex]
⇨ Again letting n be the number
[tex]\bold{n}[/tex]
⇨ Subtract 13 from n
[tex]\bold{n-13}[/tex]
*unlike addition, the order DOES matter, because
[tex]\bold{n-13\ne 13-n}[/tex]
Hope that helped
A plate of vegetables and white rice. jace is a vegetarian, eating at a local restaurant. he chooses a grilled tofu salad that includes vegetables. what change can he request to make his meal healthier? he can ask for the tomatoes to be left out. he can ask for brown rice instead of white rice. he can ask for his tofu to be fried instead of grilled. he can ask for fewer sprouts, peas, and cucumbers.
Answers
Reason is brown rice is less refined and has more fiber to help you stay full and it has a lower GI index.
❌ he can ask for the tomatoes to be left out (tomatoes are healthy and good for you).
✅ he can ask for brown rice instead of white rice.
❌ he can ask for his tofu to be fried instead of grilled (fried is not healthier)
❌he can ask for fewer sprouts, peas, and cucumbers. (These are good for you)
Find the area of the surface. the part of the plane 3x 5y z = 15 that lies in the first octant
Answers
The area is 97.211 sq units.
This part of the plane is a triangle. We can Call it δ. We can find the intercepts by setting two variables to 0 simultaneously; we'd find, for instance, that y=z=0 means 3x=15 i.e., x=3 , so that (3, 0, 0) is one vertex of the triangle. Similarly, we'd find that (0, 5, 0) and (0, 0, 15) are the other two vertices.
Next, we can parameterize the surface by
s(u,v)=[tex]\int\limits^a_b {3(1-u)(1-v),5u(1-v),15v} \, dx[/tex]
so surface element is
dS= IIsu*svII =15[tex]\sqrt{42}[/tex](1-v)dudv
Then the area of is given by the surface integral
[tex]\int\limits^a_b {} \, \int\limits^a_b {dS} \, dx = 15\sqrt[n]{42} \int\limits^a_b {x} \, dx \int\limits^a_b {1-v} \, dudv[/tex]=97.211
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What is the value of 2√4+3√9
Answers
[tex]2 \sqrt{4} + 3 \sqrt{9} \\ 2(2) + 3(3) \\ 4 + 9 = 13[/tex]
Answer:
13
Step-by-step explanation:
2×√4+3×√(9
2x2+3x3
Zhang is constructing a loading ramp (BA) that is 4-feet high (AC). The back of the base (BC) must be 12.8 ft. How long must the entire base (BD) be?
Proportion : __________________
Front of base: __________
Total base: __________
Answers
The front of the base is 1.25 ft and the total base is 14.05 ft.
How to find the side of a right triangle?A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.
The sides CD and BD can be found using similar triangle principle.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, the following proportion can be established as follows;
[tex]\frac{BC}{AC}=\frac{AC}{CD}[/tex]
Hence,
[tex]\frac{12.8}{4}=\frac{4}{CD}[/tex]
cross multiply
4 × 4 = 12.8 CD
16 = 12.8CD
divide both sides by 12.8
CD = 16 / 12.8
CD = 1.25 ft
BD = 1.25 + 12.8 = 14.05 ft
Therefore, the front of the base is 1.25 ft and the total base is 14.05 ft.
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A shipment of inexpensive digital watches, including that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected?.
Answers
0.8926 percent of the time, the shipment will be rejected.
What is Probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
According to the given information:A delivery of 50 cheap digital watches, 10 of which are flawed.
A digital watch's likelihood of malfunctioning
P = 10/50
= 0.2
Size of sample: n = 10
Additionally, if they find one or more samples to be defective, they reject the entire cargo.
Making use of the binomial probability formula:
[tex]P(x)={ }^{n} C_{x} p^{x}(1-p)^{n-x}[/tex]
The random variable x should stand in for the quantity of defective watches.
The chance that the delivery will be refused is:
[tex]P(x \geq 1)=1-P(0)[/tex]
= [tex]1-{ }^{10} C_{0}(0.2)^{0}(0.8)^{10}[/tex]
= 1 - (0.8)[tex]^{10}[/tex]
= 0.8926
As a result, 0.8926 percent of the time, the shipment will be rejected.
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I understand that the question you are looking for is:
A shipment of 50 inexpensive digital watches, including 10 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected
G
Which point is located at (-3.5.-4.5)?
Y
A
(1
-5-4-3-2-1
point A
point K
point R
4
-3-
2
10
-I ? ? + 4
2
3
2 3 4
en.
5
X
Answers
this is because if you go left 3.5 and down 4.5, you will reach point A
A school counselor tests the level of depression in fourth graders in a particular class of 20 students. The counselor wants to know whether the kind of students in this class differs from that of fourth graders in general at her school. On the test, a score of 10 indicates severe depression, while a score of 0 indicates no depression. From reports, she is able to find out about past testing. Fourth graders at her school usually score 5 on the scale, but the variation is not known. Her sample of 20 fifth graders has a mean depression score of 4.4. Use the .01 level of significance.
1. The counselor calculates the unbiased estimate of the population's variance to be 15. What is the variance of the distribution of means?
A) 15/20 = 0.75
B) 15/19 = 0.79
C) 152/20 = 11.25
D) 152/19 = 11.84
2. Suppose the counselor tested the null hypothesis that fourth graders in this class were less depressed than those at the school generally. She figures her t score to be -.20. What decision should she make regarding the null hypothesis?
A) Reject it
B) Fail to reject it
C) Postpone any decisions until a more conclusive study could be conducted
D) There is not enough information given to make a decision
3. Suppose the standard deviation she figures (the square root of the unbiased estimate of the population variance) is .85. What is the effect size?
A) 5/.85 = 5.88
B) .85/5 = .17
C) (5 - 4.4)/.85 = .71
D) .85/(5 - 4.4) = 1.42
Answers
1. The variance of the distribution of means option A) 15/20 = 0.75
2. The decision that counselor should make regarding the null hypothesis is that: option "Fail to reject it"
3. The effect of the size is: option c: (5 − 4.4)/.85 = .71
What is the variance about?Note that:
Sample size = 20.
Note that for us to be able to get the answer in question one, we have to divide the unbiased estimate for the population variance by the use of 20 so that we can be able to get our unbiased estimate for the variance: And as such;
15/20 = 0.75.
The term fail to reject implies that the null hypothesis is one that has not been disproven or wrong and therefore the use of the term "failure to reject." It is one that should not be taken with acceptance.
Therefore, 1. The variance of the distribution of means option A) 15/20 = 0.75
2. The decision that counselor should make regarding the null hypothesis is that: option "Fail to reject it"
3. The effect of the size is: option c: (5 − 4.4)/.85 = .71
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42. There are eight squares on each side of a chessboard. How many squares are on a chessboard? Write an expression in exponent form then evaluate.
Answers
Answer:
Number of the squares on chessboard = 64
Exponent form = [tex]8^{2}[/tex]
Step-by-step explanation:
8 x 8 = 64
exponent form of of the chessboard
= [tex]8^{2}[/tex]
I’m stuck on this problem
Answers
The value of the f(-8) from the given f(x) is 1/53.
According to the statement
we have given that the value of f(x) and with the value of this we hav eto find the value of f(-8).
So, For this purpose,
The given value of f(x) :
The function f(x) is
f(x) = 1 / x^2 -11
Now we find the value of the f(-8) then
For this put Put x is -8 in the f(x) then the equation become
f(x) = 1 / x^2 -11
f(-8) = 1 / (-8)^2 -11
f(-8) = 1 / 64 -11
f(-8) = 1 / 53.
here the value becomes 1/53.
So, The value of the f(-8) from the given f(x) is 1/53.
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In the figure, what is the ratio of the area of square KLMN to the area of LOK?
Answers
the ratio of the area of square KLMN to the area of LOK is 2a^2/b h
How to determine the ratioFrom the image given, we can deduce the following;
KLMN is a squareLOK is a triangleThe formula for area of a square is
Area = a^2
Where, 'a' is the side
The formula for area of a triangle
Area = 1/ 2 base × height
Now, let's find the ratio
Ratio = area of KLMN/ area of LOK
Ratio = [tex]\frac{a^2}{\frac{1}{2} bh}[/tex]
Ratio = [tex]\frac{a^2}{\frac{bh}{2} }[/tex]
make the expression linear
Ratio = 2a^2/bh
The ratio of the area of square KLMN to the area of LOK is 2a^2/bh
Thus, the ratio of the area of square KLMN to the area of LOK is 2a^2/b h
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What bearing and airspeed are required for a plane to fly 500 miles due north in 2. 5 hours if the wind is blowing from a direction of 344° at 10 mph?
Answers
Answer:
The airspeed is 201.17 mph and bearing is and this can be determined by using the vector form of velocity
Plane to fly 700 miles due north in 3.5 hours if the wind is blowing from a direction of 338 degrees at 10 mph
Hey help mee if you solve it you are intelligent // what number is car park
Answers
Answer: The answer is 87. when you look at the picture each number is one number apart from each other like look at
86, 87, 88, 89, 90, 91
85 + 1 = 86
86 + 1 = 87
87 + 1 = 88
89 + 1 = 90
90 + 1 = 91
Step-by-step explanation:
Multiply (x + 2)(3x² - 4x + 5).
a. 3x³ + 2x²-3x+10
b. 3x³-4x² + 5x+10
c. 3x³ - 2x²-3x+10
d.
3x² +10x² + 13x+10
Answers
Answer:
a. 3x^3 + 2x^2 - 3x +10
Step-by-step explanation:
(x+2)(3x^2-4x+5)
x(3x^2-4x+5) +2(3x^2-4x+5)
3x^3-4x^2+5x+6x^2-8x+10
3x^3-4^2+6x^2+5x-8x+10
3x^3+2x^2-3x+10
Find the indicated maximum or minimum value of f subject to the given constraint. maximum: f(x,y,z)=x2y2z2; x2 y2 z2=4
Answers
The indicated maximum or minimum value of f is subject to the given constraint maximum is 125/27.
An instance of a constraint is the fact that there are only such a lot of hours in a day to perform things. Embarrassed reserve or reticence; awkwardness. One that restricts, limits, or regulates; a take a look at.
A constraint is something that limits or controls what you can do. Their decision to abandon the trip was made due to monetary constraints. Water shortages in the location can be the primary constraint on development. Synonyms: restriction, issue, lessen, rein greater Synonyms of constraint.
Constraints are used to limit the kind of records which can move right into a desk. This guarantees the accuracy and reliability of the facts inside the table. If there's any violation between the constraint and the facts motion, the motion is aborted. Constraints can be column stage or desk level.
From &22 = x²y 2
2
Given 2²+7+2=5
= <**,4),2=>
By Logange's multijet
(2643805 = 12'aresta
Mithaling by by and
and y
x²²* = P ←
: +(1,2,2) = $
= 125
279
The maximum value is 12r
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Which of the following relationships will have a positive slope? Select all that apply.
Answers
Reason
Number of people and amount of trash = more people equals more trash so the slope will go up.
Distance to your destination and time = further distance traveled will show an increase in time so an upward slope.
Number of squirrels and number of acorns hidden. The more squirrels there are, the more acorns will be hidden showing an upward slope.
The other two have no relationship to each other.
1/4a-3=1/4a(a-?) I need to finish this quick can someone repy fast!
Answers
Answer:
12
Step-by-step explanation:
Factoring out a 1/4 from 1/4a - 3, you get 1/4 (a - 12) as 12 * 1/4 = 3. Thus, ? = 12.
Helpppppp show your work
Answers
Answer:
-5/3
Step-by-step explanation:
Do PEMDAS
8 - 11 = -3
-3 ^ 3 = -27
-(-27) = 27
I-14I = 14
3 x 14 = 42
27 - 42 = -15
2^4 = 16
16 - 7 = 9
-15/9 = -5/3
An observer (o) spots a plane (p) taking off from a local airport and flying at a 29° angle horizontal to her line of sight and located directly above a tower (t). the observer also notices a bird (b) circling directly above her. if the distance from the plane (p) to the tower (t) is 6,000 feet, how far is the bird (b) from the plane (p)? round to the nearest whole number. two parallel lines bp and ot with a transversal running through p and o. dotted red line from p to t and from b to o. angle pot is 29 degrees. the length of pt is 6000. the length of bp is x. 6,857 feet 10,824 feet 12,371 feet 22,063 feet
Answers
The distance between the bird and the aircraft is 10824 feet.
What is right angled triangle?Any triangle with one angle at a right angle or two perpendicular sides is referred to as a right triangle, right-angled triangle, orthogonal triangle, or more formally, a rectangle triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.
What is Tangent?The straight line that "just touches" the curve at a certain point is known as the tangent line to a plane curve. It was described by Leibniz as the line connecting two points on the curve that are endlessly near to one another.
According to the given information:Angle of elevation = 29°
Length of plane to the tower = 6000 feet
So, it forms a right angled triangle.
So, we will use "Tangent":
tan29° = AB/CB
.55 = 6000/CB
CB = 6000/0.55
CB = 10824ft
Consider, ΔABC,
Hence, The distance between the bird and the aircraft is 10824 feet.
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Please help
Thank you!
Answers
The given transformation is a reflection across the y-axis that changes the coordinates EFGH into E'F'G'H' as follows:
E(-4, -1) → E'(4, -1)
F(-2, -1) → F'(2, -1)
G(-1, -2) → G'(1, -2)
H(-1, -4) → H'(1, -4)
What is the transformation rule for reflection?The transformation rules for reflection are:
Reflection at y-axis: y = f(-x);
Reflection at x-axis: y = -f(x);
Calculation:The given polygon has four vertices EFGH.
Their coordinates are:
E(-4, -1), F(-2, -1), G(-1, -2), and H(-1, -4)
When the transformation rule: reflection across the y-axis is applied, the coordinates become:
y = f(-x); rule
For E(-4, -1), x-coordinate is -4. So, -(-4) = 4
⇒ E'(4, -1)
For F(-2, -1), x-coordinate is -2. So, -(-2) = 2
⇒ F'(2, -1)
For G(-1, -2), x-coordinate is -1. So, -(-1) = 1
⇒ G'(1, -2)
For H(-1, -4), x-coordinate is -1. So, -(-1) = 1
⇒ H'(1, -4)
Thus, the transformed coordinates are:
E(-4, -1) → E'(4, -1)
F(-2, -1) → F'(2, -1)
G(-1, -2) → G'(1, -2)
H(-1, -4) → H'(1, -4)
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n January 1989, the temperature in Nome, Alaska dropped to −49° F. Would the gas in the driver's truck have remained in liquid form so he could have driven on this day? Why or why not?
Answers
Answer: The gas would not have remained liquid
Step-by-step explanation:
Since the freezing point of gasoline starts at -40°F, and the temperature that day was -49°F, we can conclude that the gasoline would not have remained liquid
1. If A(-1, 1) and B(3,-1) are the endpoints of one side
square ABCD, what is the area of the square?
of
(A) 12
(B) 16
(C) 20
(D) 25
(E) 36
Answers
Answer:
C 20
Step-by-step explanation:
we need the distance between both points, then, as this is the side of a square, we square it and get the area of the square.
the distance we get via Pythagoras (the distance is the Hypotenuse of a right-angled triangle with the coordinate differences in x and y being the legs) :
distance² = (-1 -3)² + (1 - -1)² = (-4)² + 2² = 16+4 = 20
distance = sqrt(20)
the area of the square is the side², so again distance², and therefore the area is 20.
PLEASE HELP IM SERIOUSLY STUCK
Answers
Formula for the Slope: (y2 - y1) / (x2 - x1)
You can use any two points to find the slope, as long as those two points are on the line.
Point 1 = (-2, 8)
Point 2 = (0, 0)
Slope = (0 - 8) / (0 - - 2)
Slope = -8 / 2
Slope = -4
Hope this helps!
Answer:
-4
Step-by-step explanation:
The formula to find the slope is (change in y)/(change in x). In other words, rise over run.
If we look at the data, we can see that the x and y value changes.
x value: -3 --> -2 --> -1 --> 0 --> 1
y value: 12 --> 8 --> 4 --> 0 --> -4
When y changed from 12 to 8, the x changed from -3 to -2.
y: 12 --> 8
x: -3 --> -2
There was a difference of -4 in the y and a difference of 1 in the x.
At the top, I wrote that the slope was (change in y)/(change in x)
With -4 and 1 we found, we can say that the slope is -4/1.
If we simplify this answer, we end up with -4.
So -4 is the slope of the data.
Using the online tool, find two different combinations of radius and height that produce two cylinders with nearly the same volume. Record the
dimensions and volumes of the two cylinders below.
Answers
The radii and the heights of the two cylinders are
Cylinder 1: Height = 6 and Radius = 5Cylinder 2: Height = 10 and Radius = 3.87How to determine the combinations of radius and height?The volume of a cylinder is
V = πr²h
When the volumes of two cylinders are almost equal, then it means that:
V1 ≈ V2
This gives
πr²h ≈ πR²H
Divide both sides by π
r²h ≈ R²H
Assume that r = 5 and h = 6
So, we have:
5² * 6 ≈ R²H
Evaluate the product
150 ≈ R²H
Assume H = 10
So, we have:
150 ≈ R² * 10
Divide by 10
R² ≈ 15
Take the square root of both sides
R ≈ 3.87
Hence, the radii and the heights of the two cylinders are
Cylinder 1
Height = 6 and Radius = 5
Cylinder 2
Height = 10 and Radius = 3.87
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Answer:
These radius and height values will produce the same volume:
radius = 6 units and height = 18 units
radius = 9 units and height = 8 units
Which congruence postulate or theorem is stated below?
Answers
The congruence postulate or theorem that is stated is the: C. AAS congruence theorem.
What are Congruent Triangles?Triangles that are referred to as congruent triangles are triangles that have corresponding congruent sides and corresponding congruent angles.
What is the Angle-angle-side Congruence Theorem (AAS)?According to the angle-angle-side congruence theorem (AAS) two triangles are congruent if two angles and a non-included side of one triangle are congruent to two corresponding angles and a non-included side of the other are congruent to each other.
For example, in triangles GUM and RED given in the image attached below, we have the following:
∠G ≅ ∠R [a pair of congruent angles]
∠M ≅ ∠D [a pair of congruent angles]
GU ≅ RD [a pair of non-included congruent side]
Thus, both triangles are congruent by the AAS, which is the congruence theorem that is stated above.
The answer is: C. AAS.
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Answer:
aas
Step-by-step explanation: