HELP this doesn’t have anything instructions and I’m confused on what do to
A. 25 = 27
B. 21+22= 180°
C. 24 28
D.26 +27= 180°
Answers
The angles formed by the transversal line r and the parallel lines s and t, have that:
A. ∠5 ≈ ∠7 {vertical angles}
B. ∠1 + ∠2 = 180° {angles on straight line}
C. ∠4 ≈ ∠8 {corresponding angles}
D. ∠6 + ∠7 = 180° {angles on straight line}
What are angles formed by a pair of parallel lines cut by a transversal line?When a transversal line intersects a pair of parallel lines, several angles are formed which includes: Corresponding angles, vertical angles, and alternate angles.
A. The angles ∠5 and ∠7 are vertical angles as they are vertically opposite, so ∠5 = ∠7
B. The angles ∠1 and ∠2 angles on a straight line and their sum is equal to 180° so;
∠1 + ∠2 = 180°
C. The angles ∠4 and ∠8 are corresponding angles and are equal, so ∠4 = ∠8
D. The angles ∠6 and ∠7 angles on a straight line and their sum is equal to 180° so;
∠6 + ∠7 = 180°
Therefore, for the angles formed by the transversal line r and the parallel lines s and t, we have that:
A. ∠5 ≈ ∠7 {vertical angles}
B. ∠1 + ∠2 = 180° {angles on straight line}
C. ∠4 ≈ ∠8 {corresponding angles}
D. ∠6 + ∠7 = 180° {angles on straight line}
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Related Questions
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Which test score is an outlier?
60
69
90
100
Answers
The test score that is an outlier is 60. Option A
What is an outlierA data point that dramatically deviates from the dataset's main pattern or trend is referred to as an outlier.
From the information given, we have that;
The score are;
60, 69, 79, 80, 86, 86, 86, 89, 90, and 100.
We can see that the outlier is 60.
This is due to the fact that all of the other scores, which range from 69 to 100, are considerably higher and closer in value.
The score of 60, however, is considerably lower than the others pupils.
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What is the domain of this function?
Answers
Answer:
[0,∞)
Step-by-step explanation:
The domain is just all the x values in the function. We can see in the graph that it starts at x=0 (inclusive per the filled in circle) and keeps going to the right forever (per the arrow at the end of the line). Therefore, x values for this function go from 0 to ∞.
thus, the domain is [0,∞)
if Ra radius is 10cm , what will be the diameter and the area of the circle
Answers
Answer:
Diameter=20 cm, Area=100[tex]\pi[/tex]
Step-by-step explanation:
To find the diamter of a circle (given the radius), you multiply the radius by 2. 10cm*2=20 cm. The area of a circle is the radius squared times pi. 10^2 times pi is equal to 100[tex]\pi[/tex].
The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines? There are no zeroes on the chart. What do I do
Answers
To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:
Examine the tables and identify a pattern or relationship between the x-values and y-values for each line.Determine the slope (rate of change) of each line by calculating the difference in y-values divided by the difference in x-values for any two points on the line.Once you have the slopes, compare them to see if they are equal or different.If the slopes are different, the lines intersect at a single point, which represents the solution to the system of equations.If the slopes are equal, the lines are parallel, and there is no solution to the system of equations.If the slopes are different, you can find the intersection point by solving the system of equations using either substitution, elimination, or another suitable method.For such more question on equations
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What is the meaning of "Then S ∖m [tex]\neq[/tex]∅; otherwise S is a subset of a finite set; a contradiction"?
Answers
The phrase "Then S ∖m ∅; otherwise S is a subset of a finite set; a contradiction" is expressing a logical statement and its implications. Let's break it down:
"S ∖m ∅" means that the set difference between S and m is not empty. In other words, there is at least one element in S that is not in m."Otherwise S is a subset of a finite set" suggests that if the set difference is empty, then S must be a subset of a finite set. This implies that S has a limited number of elements.A contradiction" indicates that the statements in points 1 and 2 cannot both be true simultaneously because they contradict each other. If S has at least one element not in m (point 1), it cannot be a subset of a finite set (point 2).In summary, the statement is asserting that if the set difference between S and m is not empty, it contradicts the notion that S is a subset of a finite set.For such more question on element
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firm's total production of cars at the and of ten years of operation is 14/1500 I the firm produced logo cars during t's first year of operation. Forecast the level of outpul For the 15t year
Answers
The forecasted level of output for the 15th year would be 14/15000.
To forecast the level of output for the 15th year, we need to analyze the given information about the firm's total production of cars at the end of ten years of operation and its production during the first year.
According to the information provided, the firm's total production of cars at the end of ten years of operation is 14/1500. However, the production of logo cars during the first year is not specified. We need this information to accurately forecast the level of output for the 15th year.
If we assume that the production of logo cars during the first year is constant throughout the ten-year period, we can use the given information to estimate the average annual production. Since we have 14/1500 as the total production over ten years, we can calculate the average annual production as (14/1500) / 10.
(14/1500) / 10 = 14/15000
Therefore, the estimated average annual production is 14/15000.
Now, to forecast the level of output for the 15th year, we can assume that the average annual production remains constant. Therefore, the forecasted production for the 15th year would be the same as the average annual production.
Hence, the forecasted level of output for the 15th year would be 14/15000.
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Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)
$300/week for 9 1/2
years at 5.5%/year compounded weekly
Answers
Answer: $227,226.51
Step-by-step explanation:
First, we need to convert the period to weeks.
9 1/2 years = 9.5 years
1 year = 52 weeks
9.5 years = 494 weeks
Next, we can use the formula for the future value of an annuity:
FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)
where:
PMT = payment amount per period
r = annual interest rate
n = number of compounding periods per year
t = number of years
Plugging in the given values:
PMT = $300
r = 0.055 (5.5% expressed as a decimal)
n = 52 (compounded weekly)
t = 9.5 years = 494 weeks
FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)
FV = $227,226.51
Therefore, the future value of the annuity is approximately $227,226.51.
logx+5 64 = 2
Please help!!
Solve and round to the nearest 100th
Explain how
WILL GIVE BRAINIEST FIRST ANSWER
Answers
The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.
solve the equation logₓ(64) + 5 = 2, we can follow these steps:
Step 1: Move the constant term to the other side of the equation:
logₓ(64) = 2 - 5
logₓ(64) = -3
Step 2: Rewrite the equation in exponential form:
x^(-3) = 64
Step 3: Rewrite 64 as a power of x:
x^(-3) = x^6
Step 4: Set the exponents equal to each other:
-3 = 6
The equation -3 = 6 is not true, which means there is no real solution to the given equation.
Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.
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NO LINKS!! URGENT HELP PLEASE!!!
11. Write the equation for the graph
Answers
This is the same as writing y = sqrt(4(x+5)) - 1
===============================================
Explanation:
The given graph appears to be a square root function.
The marked points on the curve are:
(-4,1)(-1,3)(4,5)Reflect those points over the line y = x. This will have us swap the x and y coordinates.
(-4,1) becomes (1,-4)(-1,3) becomes (3,-1)(4,5) becomes (5,4)Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.
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Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).
Plug the coordinates of each point into the template y = ax^2+bx+c.
For instance, plug in x = 1 and y = -4 to get...
y = ax^2+bx+c
-4 = a*1^2+b*1+c
-4 = a+b+c
Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c
Repeat for (5,4) and you should get 4 = 25a+5b+c
We have this system of equations
-4 = a+b+c-1 = 9a+3b+c4 = 25a+5b+cUse substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.
In other words
a = 1/4, b = 1/2, c = -19/4
We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4
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Next we complete the square
y = (1/4)x^2+(1/2)x-19/4
y = (1/4)( x^2+2x )-19/4
y = (1/4)( x^2+2x+0 )-19/4
y = (1/4)( x^2+2x+1-1 )-19/4
y = (1/4)( (x^2+2x+1)-1 )-19/4
y = (1/4)( (x+1)^2-1 )-19/4
y = (1/4)(x+1)^2- 1/4 - 19/4
y = (1/4)(x+1)^2 + (-1-19)/4
y = (1/4)(x+1)^2 - 20/4
y = (1/4)(x+1)^2 - 5
The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.
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The last batch of steps is to find the inverse.
Swap x and y. Then solve for y.
y = (1/4)(x+1)^2 - 5
x = (1/4)(y+1)^2 - 5
x+5 = (1/4)(y+1)^2
(1/4)(y+1)^2 = x+5
(y+1)^2 = 4(x+5)
y+1 = sqrt(4(x+5))
y = sqrt(4(x+5)) - 1
I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.
You can also use a tool like GeoGebra to verify the answer.