Find the acute angle between two diagonals of quadrilateral ABCD if it is known that AB=BC=CD and AC=BD=AD.

Answers

Answer 1

Answer:

45⁰

Step-by-step explanation:

The quadrilateral ABCD is a square.

Since the question stated that all the sides are equal. (AB=BC=CD)

It also stated that the diagnonals are equal. (AC=BD=AD)

I wish I could draw to explain this easily

A square has four right angles.

A right angle is a 90⁰ angle.

The diagonals divide each 90⁰ angle by 2

I hope you know what a diagonal is.

It is a line from a corner of the square to the opposite corner. This cuts the square into two equal sides.

After drawing the first diagonal two triangles of equal size will be seen.

After drawing the second diagonal the two triangles that appeared will each be cut into halves.

Now, you'll have four equal triangles.

think of it as a square pizza cut into four slices...

Uh huh , now you understand

Answer 2
The Answer is 45 degrees

Related Questions

MORE HELP PLEASE :D :D :D

Answers

Answer:

11. When 3 students are working, they each need to plant 36 trees. So the club must plant 36*3 = 108 trees total. The equation would be t = 108/s, and the constant of proportionality is 108.

12. The constant of proportionality represents the number of trees the club needs to plant regardless of the number of participants.

Nbzbdbe dn dvd e ehis

Separate the rational from irrational

Answers

3pi is irrational
pi is irrational
square root of 101 is irrational

- square root of 25 is rational

Answer:

Step-by-step explanation:

101 squared not rational

-25 squared is rational

PLS HELP BEST OF YOUR ABILITY
Figure B is a scaled copy of Figure A.

What is the scale factor from Figure A to Figure B?

Answers

Answer: x = 60°

Step-by-step explanation:

    We know a circle is equal to 360°, so we can subtract from 360° to find x using vertical angles and other given details.

     Vertical (opposite) angles are equal to each other. This is why, for example, we know AGE and FGC are both 30°.

    See attached for a breakdown of the angles.

360° - 30° - 30° - 90° - 90° = 2x

120° = 2x

60° = x

Answer:

x = 60°

Step-by-step explanation:

Hello!

The sum of angles on a line is 180°.

Given that Angle G is 90°, the other measure on Line DB would also be 90°. The missing angle next to x can be called y.

x° + y° = 90°

Angle Y

The Angle y can be calculated by using the Vertical Angles Theorem. The theorem states that if two non-adjacent angles are formed by the intersection of two lines, the measures of the angles are congruent.

This means that the measure of Angle y is 30°, as the 30° angle and y are non-adjacent and are formed by the intersection of lines AC and EF.

Angle X

We can now solve for x by plugging in 30° for y in the equation.

x° + y° = 90°x° + 30° = 90°x° = 60°

The value of x is 60°.

ANYONE PLEASE HELP!!

Answers

Answer:

A

Step-by-step explanation:

Corresponding angles are angles that you can follow down the transversal and they will land in the same spot on the other parallel line.  Look at angle 8.  It is the bottom left angle in the group of 4 angles around it.  If you slide it to the left it would land right on top of angle 4 which is also in the bottom left of its group of 4 angles.

You can do the same thing taking angle 8 down to angle 12.

Answer: a

I’m not sure if I’m right bc I’m not very good at this but hope it helped

Pls help
A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato will pull a pen from the bag. Write two different scenarios: one that is a dependent event and one that is an independent event.

Answers

P(red) = 4/15
P(black) = 6/15
P(red or black)
= 4 / 15 + 6 / 15
= 10 / 15
= 2 / 3
Hope this helps P(red)= 4/15
P(black)= 6/15
P(red or black)= 10/15
Independent= 2/3

PLEASE HELP!!!!
Is Figure B a scale copy of Figure A?

Answers

Answer: (A) Yes

Step-by-step explanation:

        Let us look at the side lengths. When we are talking about scale copies, the lengths should stay proportionate from the original shape to the copy.

        Both of the figures are triangles. I will be looking at the length of their legs. Figure A has leg lengths of 4 and 3. Figure B has leg lengths of 8 and 6, respectively.

        This means Figure B is a scale copy of Figure A because 8/4=2 and 6/3=2. These mean the proportions stayed similar.

Yes because a and b are both right angle triangles and a is doubled to get the size of b

Is Figure B a scale copy of Figure A?

Answers

Yes Figure B is a scale copy of Figure A

Yes, the Figure B is a scale copy of Figure A.

Given that are two figures we need to see if the Figure B a scale copy of Figure A or not.

To determine if Figure B is a scale copy of Figure A, we need to compare the two figures and check if they have the same shape but differ in size. A scale copy means that Figure B is an enlarged or reduced version of Figure A, but the proportions and shape of the two figures remain the same.

We see the side lengths of Figure A are: 6 units, 3 units, 3 units, 3 units, 6 units.

And that of Figure B are: 2 units, 1 unit, 1 unit, 1 unit, 2 units.

Taking the ratio = 6/2 = 3/1 = 3/1 = 3/1 = 6/2 = 3

So, it is clear that the side lengths are in equal proportion.

Hence the Figure B is a scale copy of Figure A.

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How can you rewrite the number 1 as 10 to a power?
How can you rewrite the number 1 as 2 to a power?

Answers

Answer:

To rewrite 1 as 10 to power, you'd write 10^0 (ten to the power of zero).

Any non-zero number with the power of zero equals one. You might be wondering why, so to prove this theorem...

2^1

-----

2^1

Since the numbers are the same on the numerator and denominator, we can agree that the fraction above is equal to 1, yes? It is also equal to...

2^1-1

...because of the quotient rule. And what does 1-1 equal? 0. So you'd get

2^0

This is known as the "zero-exponent rule!"

Hope this helped.

Step-by-step explanation:

10 raised to the 0 (10^0) and 2 raised to the 0 (2^0)

Of the following points, name all that lie on the same vertical line?
(1,9) (0,-8) (1,8) (1,-9)

Answers

Answer:

Step-by-step explanation:

(1, 9) and (1, -9) lie on the same like cuz y indicate the right side of the coordinates and both the right side of these coordinates r 9, its different just cuz positive lies on top, and negative lies on bottom

same thing for (0,-8) and (1, 8)

please mark me brainliest if it helped

All that are on the same vertical line is the one with the value 1 in the (x) position. So, the answers are (1,9), (1,8), (1, -9)

PLEASE HELP ME ASAP!!!! PLEASE!!!

Answers

1) [tex]\overline{UT}[/tex]

2) [tex]\overline{UT} \cong \overline{UT}[/tex]

3) [tex]\overline{BT} \cong \overline{EU}[/tex]

4) [tex]\overline{BU} \cong \overline{ET}[/tex]

5) [tex]\triangle UBT \cong \triangle TEU[/tex] by SSS

6) CPCTC

What the person above me said

Separate the rational from irrational

Answers

Answer:

101 squared not rational

-25 squared is rational

pi or any number times pi is not rational

Step-by-step explanation:

101 is not rational
-25 is rational

BEST ANSWER GETS BRAINLIEST! PLEASE HELP! Joanna and Linne were trying to describe parts of the expression 3x²+x+5. Joanna said, "The entire expression is the sum of 4 terms." Linne said, "The coefficients are 3 and 0." Who is correct?

Answers

Yes it would be C because the coefficients are 3 and 1

The expression  3x²+x+5 is the sum of 3 terms and coefficients are 3 and 1 therefore, Neither Joanna nor Linne is correct.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

3x²+x+5.

According to Joanna, the entire expression is the sum of 4 terms.

and according to Linne the coefficients are 3 and 0.

Since, The expression is the sum of 3 terms:

Square power of x, x and a constant 5.

Also, the coefficient of x² is 3 and coefficient of x is 1.

Therefore, the Joanna and Lienna both are wrong.

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Pls assistance
What is X?


x =x=x, equals

^\circ

Answers

Answer:

x = 60°

Step-by-step explanation:

A straight angle is bascially a line with a point marked in it. That is 180°. Supplementary angles add up to 180°. Like the two right angles on the top part of the image are supplementary, as well as the two angles on the bottom part of the image.

120° + x = 180°

x = 60°

The Answer is X=60

Explanation:

Please Helpppp meeeeee! I really need it!!!

Answers

1.33
You divide original by dilated to get the scale factor!
Answer is B. 1.33
Hope this helps

Which of the following can be directly measured using a ruler?

A. Distance between the earth and the moon
B. Distance between two cities
C. Width of a window frame
D. Height of a mountain

Answers

Answer:

C

Step-by-step explanation:

windows arent that big compared to 2 cities, distance between the and moon, or a height of a mountain. so i think C is the only reasonable answer

Answer : C. Width of a window frame
Rulers are only 12 inches measuring all the choices beside a window frame would take forever, and since a window frame is smaller itll be easier

Ten points QRSTUVWXY and Z are equally and consecutively spaced on a circle.
What is the size, in degrees, of the angle ∠QTW?

Answers

The size of ∠QTW in degrees is 72°. See the explanation below. This is based on the concept of opposite sides in a quadrilateral.

What is the logic leading to the above result?

QSUWY which is a pentagon is regular that mean:

∠QYW = 108°

The quadrilateral QTWY is a cyclic one. This means that we can apply the rule that states that opposites sides must add up to 180°

Thus, ∠QTW =

180 - 108

= 72°

What is a quadrilateral?

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon.

In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

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Full Question:

See the attached image for missing details.

They are correct can you make me brainlest:)?

Standard six-sided dice have their dots arranged so that the opposite faces add up to 7.
If 27 standard dice are arranged in a 3×3×3 cube on a solid table what is the maximum number of dots that can be seen from one position?

Answers

Answer: 153

Step-by-step explanation:

The maximum number of dots that can be seen from one position is 153 dots.

answer should be : 153

Simplify 2/3 +9-1/24

Answers

2/3 + 9 - 1/24

LCM is 72

2/3 * 24/24 = 48/72
9/1 * 72/72 = 648 / 72
1/24 * 3/3 = 3/72

48/72 + 648/72 - 3/72
693/72
231/24

77/8

Answer:

[tex]9 \frac{5}{8} [/tex]

Step-by-step explanation:

[tex]1. \: lcd = 24 \\ 2. \: \frac{2 \times 8}{3 \times 8} + 9 \times \frac{24}{24} - \frac{1}{24} \\ 3. \: \frac{16}{24} + \frac{216}{24} - \frac{1}{24} \\ 4. \: \frac{16 + 216 - 1}{24} \\ 5. \: \frac{231}{24} \\ 6. \: \frac{77}{8} \\ 7. \: 9 \frac{5}{8} [/tex]

10POINTS !!
the sum of the length of a side of two squares is 18cm and the sum of their areas is 212 cm^2. find the length of a side of the smaller square​

Answers

Step-by-step explanation:

length

a + b = 18cm

a = 18 - b

Area

a² + b² = 212cm²

(18-b)² + b² = 212

324 - 36b + b² + b² = 212

2b² - 36b + 112 = 0

b² - 18b + 56 = 0

b² - 4b - 14b + 56 = 0

b(b-4) -14(b - 4) = 0

(b-4) (b-14) = 0

b-4 = 0 OR. b-14 = 0

b = 4 cm b = 14 cm

so 4cm < 14cm

so , length of a side of the smaller square is 4cm .......

And , large square's = 14cm .....

Answer:

square one sides = 14, 14

square 2 sides = 4, 4

14 + 4 = 18

14 x 14 + 4 x 4 = 212

Step-by-step explanation:

14 x 14 + 4 x 4

this is the area of the 2 being added

the sides lengths are 14 and 4

HELP ASAP!!! 99 ASSIGNMENTS TO GO!!!! 25 POINTS!!!!

Answers

1: Ratio
2: Unit Rate
3: Scale Drawing
4: Similar Figures
5: US Customary System
6: Rate
7: Scale

I hope this helps! :)

Answer:

1. Ratio

2. Unit Rate

3. Scale Drawing

4. Similar Figures

5. US Customary System

6. Rate

7. Scale

Step-by-step explanation:

Most of them are just definitions

HELP PLS
Figure AAA is a scale image of figure BBB.

Figure AAA maps to figure BBB with a scale factor of \dfrac{2}{3}
3
2

start fraction, 2, divided by, 3, end fraction.
What is the value of xxx?

Answers

A to B
2 to 3
10.5 to x

2/3 = 10.5 / x
2x = 31.5
x = 15.75

Check
2/3 = 0.667
10.5/15.75 = 0.667
10.5/x=2/3
Crossmultiply
31.5=2x
x=15.75

The figure below shows an upside-down pyramid with a square base.
inverted pyramid with a square base
Note: figure not to scale.
Which shape does the intersection of the horizontal plane with the pyramid look like?
Choose 1 answer:

Answers

Answer:

d

Step-by-step explanation:

when cut you can see that the cutout will be a square

the base is a square and the cut is parallel to the base

therefore the cutout will be a square

The answer is d. Step by step explanation

PLEASE I REALLY NEED THIS RN!!! PLEASE HELP ME!!!

Answers

1) [tex]\overline{UP}[/tex]

2) [tex]\overline{UP} \cong \overline{UP}[/tex]

3) [tex]\overline{UR}[/tex]

4) [tex]\overline{PR}[/tex]

5) [tex]\triangle OUP \cong \triangle RUP[/tex] by SSS

6) CPCTC

Answer:

Medunno got the first pic, now i help with the second pic.

Step-by-step explanation:

Draw segment PU (don't forget the line above)

PU ≅  PU  reflexive property

UO≅ UR   given

PO≅ PR  given

△OUP ≅ △RUP   by SSS  congruence postulate

∠O ≅ ∠R  corresponding parts of congruent triangles are congruent.

a 2-quart carton of pineapple juice costs $5.28. what is the price per cup

Answers

Answer:

$0.66 per cup

Step-by-step explanation:

There are 8 cups in 2 quarts, so 5.28/8 is $0.66 per cup.

Answer:

0.66

Step-by-step explanation:

8 cups are in 2 quarts so you going to count 8 cups untill you get 5.28 and then you see how many cents that it is so its 0.66

In a survey of a community, 60% of people liked summer season, 70% liked winter season and 15% liked none of the seasons.

a. Illustrate the given information in a venn diagram.

b. Find the percentage of the people liked both the seasons.

c. If 180 people liked summer season only, how many liked winter season only? ​

Please answer me
and pls don't answer anything wrong for getting points only .
●•●
●•●
●•●
●•●

Answers

Answer:

Step-by-step explanation:

n(U)=100%

n(S)=70%

n(W)=15%

n(S union w compliment)=20%

n(s intersection W)=?

n(u)=n(s)+ n(w)+ n(s union w compliment)- n(s intersection w)

or 100%=70% +15%+ 20% - n( s intersection w)

or 100%= 95%- n(s intersection w)

or 100%-95%=n(s intersection w)

or 5%= n( s intersection w)

now;

n(only w)=n(w)- n(s intersection w)

              =15%- 5%

               =10%

10%of people only like winter season.

i think the question is to find people who only like winter season.

if not then ans is 15% according to question.

a) The illustration of the given information in a Venn diagram is attached.

b) The percentage of people who liked both seasons is 45%.

c) If 180 people liked the summer season only, proportionately, the number of people who liked the winter season only is 300.

How the Venn diagram is illustrated:

The Venn diagram, which shows similarities and contrasts, can be illustrated based on the given percentages.

Percentages are one of the ways to depict proportions, which are the equation of two ratios.

The percentage of survey people who liked the summer season = 60%

The percentage of survey people who liked the winter season = 70%

The percentage of survey people who liked none of the seasons = 15%

The percentage of participants who liked one of the seasons = 85% (100% - 15%)

The total percentage of survey people who liked either summer or winter = 130% (60% + 70%)

b) The percentage of survey people who liked both seasons = 45% (130% - 85%)

The percentage that liked only summer = 15% (60% - 45%)

The percentage that liked only winter = 25% (70% - 45%)

c) 180 people liked summer only

180 = 15%

Proportionately, if 180 = 15% of the people, the total number of people = 1,200 (180/15%)

The number of people who liked winter season only = 300 (1,200 x 25%)

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Which is rational and which is irrational?

Answers

pi is not rational

3 pi is not rational


Squareoot 101 is not rational


0.6 is rational


1

1/2 is rational


16.5 is rational


-square root 25 is rational


2 to the power of 4 is rational


-10 is rational


3/2 is rational


you’re welcome




Rational
1 1/2, .6, 16.5, - radical 25,-10, 2^4, 3/2
Irrational
Radical 101, pie, 3pie

I'm not good at this kind of meth :C

Is Figure B a scale copy of Figure A?

Answers

Yes
Reason - scale factor of b is 2 meaning each side has to be x2 to give you the points of A
Yes, each side got multiplied by 2 in figure A so it is a scale copy.

50 POINTS+BRAINLIEST 8TH GRADE MATH: A truck leaves a construction site with its cargo hold 1/4 full of sand. On the way, the truck stops at a depot, where 9 tons of sand is added to the cargo hold, making it 5/8 full. How many tons of sand could the cargo hold contain if completely full?

Answers

Answer:

24 tons

Step-by-step explanation:

My senses point to this is the correct answer.

Answer:

See below

Step-by-step explanation:

5/8 - 1/4 = 3/8ths of L  = 9 tons ......    

3/8 L = 9

L  =  9 * 8/3

  = 24 tons full load

help
Is Figure BBB a scale copy of Figure AAA?

Answers

No
Reason - if the scale factor of a and b was 2, the dimensions of a would be 4, 7.2 and 10 not the ones present on A

The ratios of corresponding side lengths are not equal.

Therefore, Figure B is not a scale copy of Figure A.

Here, we have to determine if Figure B is a scale copy of Figure A, we need to compare the corresponding sides of the two triangles and check if the ratios of their side lengths are equal.

Figure A has side lengths: 3.6, 2, and 5.

Figure B has side lengths: 8.9, 4, and 11.3.

Let's check if the ratios of corresponding side lengths are equal:

Ratio of corresponding side lengths of A and B:

3.6 / 8.9 ≈ 0.4045

2 / 4 = 0.5

5 / 11.3 ≈ 0.4425

The ratios of corresponding side lengths are not equal.

Therefore, Figure B is not a scale copy of Figure A.

In order for two triangles to be scale copies of each other, all corresponding side lengths must have the same ratio.

Since the ratios of side lengths in Figure A and Figure B are not equal, they are not scale copies of each other.

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PLEASE HELP!!!!!!!! ASAP
A circle has a radius of 5 inches. A semicircle has a radius of 10 inches. How do the areas compare?

1. The circle has twice the area of the semicircle.
2. The semicircle has four times the area of the circle.
3. The semicircle has twice the area of the circle.
4. The areas are equal.

Question #2
A circle has a diameter of 6 cm. What is its area?

1. 37.68 cm 2
2. 9.42 cm 2
3. 28.26 cm 2
4. 18.84 cm 2

Answers

Answer: #1) 3. The semicircle has twice the area of the circle

#2) 3. 28.26 cm

Step-by-step explanation:

#1) The formula for area of circle is A=πr².

First, plugging in the radius for the circle, A=π(5)², we get an area of about 78.54 inches².

Plugging in the radius for the semicircle, A=π(10)², which is equal to 314.159.... However, since it is a SEMI-circle, we will divide this value by 2 to give us an area of about 157.08 inches².

Comparing the two areas, we see the semicircle has twice the area of the circle as 78.54 x 2 = 157.08.

#2) Again use the area of circle formula, A=πr². The radius is half the diameter, so half of 6cm=3cm, meaning r=3. plug it in.

A= π(3)²

A= 28.27 cm²

Question 1: The areas are equal
Question 2: The area of the circle would be 28.26 cm 2
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