Consider rectangle ABCD with diagonals BD and AC intersecting at E.

Rectangle A B C D has diagonals B D and A C that intersect at the center of the rectangle at point E. Angles B C E is 52 degrees, angle C B E is 52 degrees, angle D E A is 104 degrees, and angle B E A is 76 degrees.

Which is true about the angle relationships in the rectangle? Check all that apply.
AngleBEA and AngleCED are vertical angles and equal 76°.
AngleABE and AngleCBE are complementary angles.
AngleBEC and AngleCED are vertical angles.
AngleBEA and AngleAED are supplementary angles whose sum is 180°.
AngleBEC and AngleAED are adjacent angles.

Answers

Answer 1

Answer:

A,B,D

Step-by-step explanation:

Answer 2

"The correct statements about the angle relationships in rectangle ABCD are:

- AngleBEA and AngleCED are vertical angles and equal 76°.

- AngleABE and AngleCBE are complementary angles.

- AngleBEC and AngleCED are vertical angles.

- AngleBEA and AngleAED are supplementary angles whose sum is 180°.

- AngleBEC and AngleAED are adjacent angles.

1. AngleBEA and AngleCED are vertical angles. Vertical angles are the angles opposite each other when two straight lines intersect. Since BD and AC intersect at E, angle BEC and angle AED are vertical angles and therefore equal. Given that angle BEC is 52 degrees, angle AED is also 52 degrees. However, the question states that angle DAE is 104 degrees, which means angle AED is 180 - 104 = 76 degrees (since angle DAE and angle AED are supplementary angles as they form a straight line). Therefore, angle CED is also 76 degrees, not 52 degrees as initially stated. This corrects the inaccuracy in the question.

2. AngleABE and AngleCBE are complementary angles. Complementary angles are two angles whose measures add up to 90 degrees. Since ABCD is a rectangle, angle ABE and angle CBE are right angles (90 degrees). Angle ABE is made up of angles ABE and BEC, and since angle BEC is 52 degrees, angle ABE is 90 - 52 = 38 degrees. Similarly, angle CBE is made up of angles CBE and BEC, so angle CBE is also 38 degrees. Therefore, angles ABE and CBE are complementary as their sum is 90 degrees.

3. AngleBEC and AngleCED are vertical angles. As previously explained, vertical angles are equal, so angle BEC and angle CED are equal, both being 52 degrees.

4. AngleBEA and AngleAED are supplementary angles. Supplementary angles are two angles whose measures add up to 180 degrees. Since angle BEC is 52 degrees and angle BEC and angle BEA are adjacent angles, angle BEA is 180 - 52 = 128 degrees. Angle AED is 76 degrees as previously calculated. Adding angle BEA and angle AED gives us 128 + 76 = 204 degrees, which is incorrect. The correct calculation should be that angle BEA is 76 degrees (as it is vertical to angle CED which is 76 degrees), and angle AED is 104 degrees (as given in the question). Therefore, angle BEA and angle AED are supplementary as their sum is 76 + 104 = 180 degrees.

5. AngleBEC and AngleAED are adjacent angles. Adjacent angles share a common side and a common vertex. In this case, angle BEC and angle AED share side AE and vertex E. This statement is true as they are indeed adjacent angles."


Related Questions

Find the surface area of the prism.

Answers

Answer:

36 in.

Step-by-step explanation:

1/2 x (12+6) x 4

1/2 x 18 x 4

9 x 4

36

What the first dude said it actually right

One hundred students were surveyed about whether they recycle regularly. The results are shown in
the two-way frequency table below. Fill in the missing information.

Answers

we need the table? otherwise i can’t answer

Answer at least 5 of these questions.
1. I swallowed an ice cube whole, and I haven't pooped it out?
2. Is there a spell to become a mermaid that actually works?
3. Can I safely look at a picture of the sun?
4. Is it illegal to kill an ant?
5. Is the hunger games based on a true story?
6. Are there birds in Canada?
7. Are there any autographs of Jesus Christ?
8. What if the girl that thinks I'm the dad isn't the mom?
9. How am I sure I'm the real mom of my kid?
10. 60 seconds and 1 minute aren't really the same?
This is part of my school project.

Answers

Answer:

This is a clearly a joke but:

3. Yes, you can. You can even look at a real sun with a special kind of sunglasses.

4. No. Animal lives of non-pet animals are not protected the same way as humans or pets are.

5. I believe that the Hunger Games as a whole are fictional, but there may be nonfiction blended in.

6. Have you ever heard of Canadian Geese? Or picked up a bird watching book?

7. None surviving to the present.

8. There could be a case where a surrogate mother does not know who the real biological father of the child she is carrying is.

9. If you forget you were acting as a surrogate, wait for a bit. The real mother should call in.

Step-by-step explanation:

Pretty much provided in the answers.

1. You haven't pooped it out, since ice becomes water, and so it doesn't keep it's shape. You would pee it out.

3. Yes, you can safely look at the picture of the sun, but you can't look at the sun directly, or it might blind you.

4. No it is not illegal to kill an ant. People do it all the times anyway; when you walk down the sidewalk imagine the number of bugs you are crushing.

5. The hunger games, is not part of a true story, it is labeled fiction, and takes part in a fictional place.

6. Yes, there are birds in Canada, there's a whole list on wikipedia ;)

9. You can be sure if you are the real mom of your kid, by taking a DNA test. It could be expensive, but if you can't get your mind off it, take the cash out.

I hope this helps.

How is graphing (5, 0) different from graphing (0, 5) ? Use the drop-down menus to explain.

Answers

Answer:

(5,0) would be the x-intercept while (0,5) would be the y-intercept.

Answer:

X-axis for the 5,0 and y-axis for the 0,5

Step-by-step explanation:

So, you would know the x-axis makes the first number and the y-axis makes the last number

hope this helps :)

Evaluate 6 P 3. 720 240 540 120

Answers

Answer:120

Step-by-step explanation: i know i am a week late but ...

The value of expression ⁶P₃ will be 120. Then the correct option is D.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

The expression is given below.

⇒ ⁶P₃

Then the value of expression ⁶P₃ will be

⁶P₃ = 6! / (6 - 3)!

⁶P₃ = 6 x 5 x 4 x 3! / 3!

⁶P₃ = 6 x 5 x 4

⁶P₃ = 120

Then the correct option is D.

More about the permutation and the combination link is given below.

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-4(v+1)
Please help

Answers

Answer:

-4v-4

Step-by-step explanation:

-4(v+1)

Distribute

-4*v +-4*1

-4v-4

find the value of x round to the nearest tenth

Answers

Answer:

23.0 =x

Step-by-step explanation:

Assuming this is a right triangle

cos theta = adj/ hypotenuse

cos 23 = x/25

Multiply each side by 25

25 cos 23 = x

23.01262134 =x

To the nearest tenth

23.0 =x

23.0 i’m sure that’s the answer

Solve for the unknown value.

Answers

Answer:

77

Step-by-step explanation:

Every angle in a triangle adds up to 180 degrees. subtract 42 and 61 from 180 to get 77

Answer:

the answer is 77

Step-by-step explanation:

the whole figure has to equal 180 degrees so:

add 61 + 42 which equals 103

so then what is added to 103 to get 180?

its 77

scientific notation help!!20 points

Answers

Answer:

5 * 10^10

Step-by-step explanation:

(9 * 10^10) - (4 * 10^10)

If the * 10^x are both the same then just take the numbers away.

Answer:

5×10 to the tenth power

Step-by-step explanation:

(9×10^10)-(4×10^10)

remove the parenthesis

9×10^10-4×10^10

then you need to collect like terms so you subtract 9-4

and get 5×10^10

final answer:5×10 to the tenth power

A large 24-inch pizza cut into 12 pieces and a medium 12-inch pizza with 7.85 inches of crust per slice. If she wants slice with more crust which option should she choose?

Answers

Answer:

Medium 12-inch pizza with 7.85 inches of crust per slice.

Step-by-step explanation:

You need to find out how many slices of pizza would be in each pizza.

In a 12 in. pizza you have 8 slices and in a 24 in. pizza you have 12 pieces.

You are looking for more crust not more pizza. So the first one just says 12 pieces it doesn't mention anything about crust so that's off the list. The second one says a medium 12-inch pizza with 7.85 inches of crust PER SLICE.

Then you'd multiply 8 slices by 7.85 which gives you 62.8.

Round 62.8 to the nearest whole... (63 in.)

Remember you are looking for crust!!! Not pizza!

I hope I've helped!!!!! Please leave a thanks and vote!

To compare the amount of crust per slice between the large 24-inch pizza and the medium 12-inch pizza, we need to calculate the circumference of each pizza and then determine the length of crust per slice.

For the large 24-inch pizza:

- Radius, [tex]\( r_{24} = \frac{24}{2} = 12 \)[/tex] inches

- Circumference, [tex]\( C_{24} = 2 \pi r_{24} = 2 \pi \times 12 \)[/tex] inches

- Crust per slice, [tex]\( \frac{C_{24}}{12} \)[/tex] inches

For the medium 12-inch pizza:

- Radius, [tex]\( r_{12} = \frac{12}{2} = 6 \)[/tex] inches

- Circumference, [tex]\( C_{12} = 2 \pi r_{12} = 2 \pi \times 6 \)[/tex] inches

- Crust per slice, [tex]\( \frac{C_{12}}{8} \)[/tex] inches (since the pizza is cut into 8 slices)

Now, let's calculate inches of crust per slice for both pizzas:

- For the large 24-inch pizza: [tex]\( \frac{C_{24}}{12}[/tex] = [tex]\frac{2 \pi \times 12}{12}[/tex] = [tex]2 \pi \)[/tex] inches of crust per slice.

- For the medium 12-inch pizza:  [tex]\( \frac{C_{12}}{8} = \frac{2 \pi \times 6}{8} = \frac{\pi}{2} \)[/tex]  inches of crust per slice.

Comparing the values, [tex]\( 2 \pi > \frac{\pi}{2} \)[/tex]. Therefore, if she wants a slice with more crust, she should choose the large 24-inch pizza.

Which function is shown in the graph below? On a coordinate plane, an exponential function curve is level at y = 3 in quadrant 2, and then increases into quadrant 1. It crosses the y-axis at (0, 7). y = 2 Superscript x minus 2 Baseline + 3 y = 2 Superscript x + 2 Baseline + 3 y = 2 Superscript x minus 3 Baseline + 2 y = 2 Superscript x + 3 Baseline + 2

Answers

Answer:

Option B, y = 2 Superscript x + 2 Baseline + 3

Step-by-step explanation:

I could be wrong tbh. I graphed it on a graphing website and the graph from B matched up with the graph shown in the question.

Answer:

B

Step-by-step explanation:

I graphed it

Find the hypotenuse (2) of the right triangle.
Round your answer to the nearest tenth.
7 m
11 m
A
8.5 m
B
18 m
(
23 m
D
13 m​

Answers

Answer:

D) 13m

Step-by-step explanation:

To find the hypotenuse, use the formula for a² + b²= c², where a and b are the values of the triangle's two legs and c is the value of the hypotenuse.

In this case, a² = 7m and b² = 11m. Remember that there is no definite value for a or b, so they can be switched around.

So now our formula will look like this: 7² + 11² = c².

When squaring the two values, you will get a more simplified manner of the equation: 49 + 121 = c².

When we add them altogether, we get 170 = c²

That is not our answer yet, because we want the simplified, and not squared, form as the answer.

In order to do that, we must find the square root of √170, which is 13.0384048104, or just 13 when rounded to the nearest tenth.

So now we know that c², the hypotenuse, is approximately equal to 13.

Just to be sure, plug in all the value into the formula and try again.

      7² + 11² = 13².       49 + 121 = 169       170 ≈ 169

Notice: the reason why they are not both is because we rounded 13.0384048104 to 13. But if we square 13.0384048104, we get 170, which is the same value as the one above. Easy, right?

Hope this helps!

A manufacturer inspects 50 computer monitors and finds that 45 have no defects. What is the experimental probability that a monitor chosen at random has no defects? Express your answer as a percent.

Answers

Final answer:

The experimental probability that a randomly chosen monitor has no defects, calculated from inspecting 50 monitors and finding that 45 have no defects, is 90%.

Explanation:

To calculate the experimental probability that a monitor chosen at random has no defects, we divide the number of monitors with no defects by the total number of monitors inspected. In this case, 45 out of 50 monitors have no defects.

Therefore, the experimental probability = (Number of monitors with no defects) / (Total number of monitors) = 45/50 = 0.9

Expressing this as a percent, we multiply by 100 to get 90%. So, the experimental probability that a monitor chosen at random has no defects is 90%.

4+3 +3 + 10 + 5 = 25
What is the average value?

Answers

Answer:

There is 5 numbers (not including the sum/25)

The average is add up all the numbers and divide by amount of numbers

25/5=5

The average value is 5

Step-by-step explanation:

Someone pls help me

Answers

Answer:

75 men spent 7 hours or more exercising.

Step-by-step explanation:

If you multiply 300 by 0.67, you get 201. That would be the amount of men.  Multiply 300 by 0.37 to get 111, the amount of people who spent less than 7 hours exercising, and subtract it from the 201 men to get 90. Then, multiply 300 by 0.75 to get 225, the amount of women that spent 7 hours or more exercising, and subtract it from 300, which would result in an answer of 75. That's how many men spent 7 hours or more exercising.

measurements in order from shortest to longest. 1 cm 1m 1mm 1km​

Answers

Answer:

1mm, 1cm, 1m, 1km

The arrangement of the measurements from the shortest to longest is:

1 mm,  1 cm, 1 m, 1 km

The given measurements are:

1 cm, 1 m, 1 mm, and 1 km

Convert all the measurements to meters

1 cm  =  1/100 m

1 cm = 0.01 m

1 mm = 1/1000 m

1 mm = 0.001 m

1 km = 1 x 1000 m

1 km = 1000 m

By considering the meter equivalents of the measurements given, the arrangement from shortest to longest is:

1 mm,  1 cm, 1 m, 1 km

Learn more on measurements here: https://brainly.com/question/24580414

Victoria is 30 years old. She has $700 in a checking account, $9000 in a
savings account, $16,000 in a retirement account, and owns a car worth
$6000. What is the total value of her liquid assets?
A. $16,000
B. $31,700
C. $9700
D. $15,700

Answers

Answer:

B

Step-by-step explanation:

Because you have to do is to add all of the total value, then you got your answer.

Answer:9700

Step-by-step explanation:

h(n)=-91*(-1/7)^n-1 Complete the recursive formula of h(n).

h(1)= ?

h(n)=h(n-1)* ?

Answers

h(1)= -91

h(n)=h(n-1)* (-1/7)

Hope this helps!

h(1)= -91

h(n)=h(n-1)* (-1/7)

Hope this helps!

Which expression has a value equal to
6,524?

Answers

Answer:

C. 6524 x 3/3

Step-by-step explanation:

Simplify:

3/3 = 1

6524 x  1 = 6524 (True).

C. is your answer.

Divide:

1204/14 = 86

86 is your answer.

~

Step-by-step explanation:

A 6524 x 6/3 = 13048

B 6524 x 3/ 3 = 6524

C 6524 x 1/8 = 815.5

D 6524 x 5/2 = 16310

Option B is the correct answer

5 1204 ÷ 14 = 86

The watering can contained 5 1/2 quarts of water. After all the plants were watered, only 4 cups remained. How many cups of water were used to water the garden?

Answers

Answer: 9.5 cups of water

Step-by-step explanation:

5 1/2 + 4

5 1/2= 11/2

11/2+4=9.5

The number of cups of water used to water the garden will be 18 cups.

What is conversion?

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

The watering can contain 5 ¹/₂ quarts of water. After all the plants were watered, only 4 cups remained.

The total number of water (in cups) is calculated as,

⇒ 4 x 5 ¹/₂

⇒ 4 x 5.5

⇒ 22

The number of cups of water used to water the garden will be given as,

⇒ 22 - 4

⇒ 18

The number of cups of water used to water the garden will be 18 cups.

More about the conversion link is given below.

https://brainly.com/question/9414705

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Rosie went on a hiking trip. The first day she walked 18 kilometers. Each day since, she walked 90, percent of what she walked the day before.
What is the total distance Rosie has traveled by the end of the 10th, start superscript, start text, t, h, end text, end superscript day?
Round your final answer to the nearest kilometer.

Answers

Rosie traveled a total distance of approximately 117 kilometers by the end of the 10th day, using the formula for the sum of a geometric series and rounding to the nearest kilometer.

To find the total distance that Rosie traveled by the end of the 10th day, we use the formula for the sum of a geometric series. The first term of this series is 18 kilometers and each subsequent term is 90% of the previous term, indicating a common ratio r of 0.9.

The formula for the sum of the first n terms of a geometric series is [tex]\( S_n = \frac{a_1(1 - r^n)}{1 - r} \)[/tex], where [tex]\( a_1 \)[/tex] is the first term, r is the common ratio, and n is the number of terms.

Using this formula, the total distance [tex](\( S_{10} \))[/tex] that Rosie traveled after 10 days is:

[tex]\[ S_{10} = \frac{18(1 - 0.9^{10})}{1 - 0.9} \][/tex]

Calculating this, we get:

[tex]\[ S_{10} = \frac{18(1 - 0.3487)}{0.1} \][/tex]

[tex]\[ S_{10} = \frac{18(0.6513)}{0.1} \][/tex]

[tex]\[ S_{10} = \frac{11.7234}{0.1} \][/tex]

[tex]\[ S_{10} = 117.234 \][/tex]

To the nearest kilometer, Rosie traveled 117 kilometers by the end of the 10th day.

Help, don’t understand this problem.

Answers

Answer:

(2, 3 )

Step-by-step explanation:

Given the 2 equations

3x - 5y = - 9 → (1)

x + 2y = 8 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the x- term, that is

- 3x - 6y = - 24 → (3)

Add (1) and (3) term by term to eliminate x

(3x - 3x) + (- 5y - 6y) = (- 9 - 24), that is

- 11y = - 33 ( divide both sides by - 11 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting in (2)

x + 2(3) = 8

x + 6 = 8 ( subtract 6 from both sides )

x = 2

Solution is (2, 3 )

Answer:

Step-by-step explanation:

hello :

here is an solution :

Please help I need all

Answers

Answer:

cube - c

exponential - d

log -a

Step-by-step explanation:

Select the correct answer.
What is the expanded equivalent of cos(a - b)?
A
sin a cos b-cos a sin b
O
O
B.
sin a cos b + cos a sin b
O
C.
cos a cos b - sin a sin b
O
D.
cos a cos b+ sin a sin b
Reset

Answers

Cos A cos B + sin A sin B

Answer:

it is d

Step-by-step explanation:

What is the place value of the digit 3 in the number 93,285,170

Answers

Answer:

3,000,000

Step-by-step explanation:

Pete was able to map quadrilateral A, B, C, D onto E, F, G, H using a translation and a dilation. Pete concluded: "I was able to map quadrilateral A, B, C, D onto
E, F, G, H using a sequence of rigid transformations, do the figures are congruent." What
error did Pete make in his conclusion?

Answers

Answer:

Pete didn't use only rigid transformations, so the figures are not congruent

Step-by-step explanation:

Translations, reflections, and rotations are all rigid transformations while a dilation is not. Pete used a dilation to make the shape smaller after transforming it, therefore the shape is similar not congruent.

If you're confused with what these math terms mean:

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.

In geometry, a reflection is a type of rigid transformation in which the preimage is flipped across a line of reflection to create the image. Each point of the image is the same distance from the line as the preimage is, just on the opposite side of the line.

A dilation is a type of transformation (not a rigid one though) that changes the size of the image. The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is.

Transformation involves moving an object from its original position to a new position.

Rotation is a transformation that turns a figure about a fixed point called the center of rotation. An object and its rotation are the same shape and size, but the figures m

Final answer:

Pete's mistake in his conclusion is that he stated the quadrilaterals were congruent when he used a sequence of transformations that included a dilation. Dilation changes the size of the figure while maintaining shape, thus the shapes are similar but not congruent.

Explanation:

In his conclusion, Pete made an error by stating that the quadrilaterals A, B, C, D, and E, F, G, H are congruent because he used a sequence of rigid transformations. However, transformations that include a dilation are not rigid transformations. Rigid transformations, such as rotations, reflections, or translations, preserve the shape and size of the figure, making the resulting figure congruent to the original. A dilation, however, changes the size of the figure while maintaining its shape, resulting in a figure similar to, but not congruent with, the original. Therefore, although Pete was able to map quadrilateral A, B, C, D onto E, F, G, H, the two shapes are not congruent because dilation was a part of the sequence of transformations he used.

Learn more about Rigid transformations here:

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if 9y^2-21y+8 is written as p^2-7p+8 what is p in terms of y

Answers

Answer:

p = 3y

Step-by-step explanation:

Compare like terms in both expressions, that is

- 7p = - 21y ( divide both sides by - 7 )

p = 3y

and as a check

p² = (3y)² = 9y²

The value of p is in terms of y as p = 3y

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Given that if 9y²-21y + 8 is written as p²-7p + 8

⇒ 9y²- 21y + 8 = p²-7p + 8

Comparing similar terms in the two expressions, that is

⇒ - 7p = - 21y

Divide both sides by - 7

⇒ p = 3y

And p² = (3y)²

⇒ p² = (3y)²

⇒ p² = 9y²

⇒ p = 3y

Hence, the value of p is in terms of y as p = 3y

Learn more about the equation here:

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Jerry weighs 95 pounds. This is 15 pounds less than Mikey weighs. How much does Mikey weigh? *

Answers

Answer:

Mikey weighs 110 pounds.

Step-by-step explanation:

Because Mikey weighs 15 pounds more, just add 95 pounds and 15 pounds to get Mikey's weight:

95 + 15 = 110

I hope this helps you!

Please rate my answer and give me Brainliest!

Have a nice day! :)

Answer: Mikey weighs 110 pounds.

Explanation: if Jerry weighs 15 pounds less than Mikey, we can also word it easier and say Mikey weighs 15 more pounds than Jerry. Then we add 95 (Jerry’s weight) and 15 (Difference between weight) and we get 110.

Please Answer...easy math

Answers

Answer:

but you already answered it!!!

Answer:

You kind of already answered it

Air is a solution composed of 78% nitrogen and 21% oxygen. Identify the solute and the solvent. *

nitrogen is the solvent and oxygen is the solute
nitrogen is the solute and oxygen is the solvent
nitrogen is both the solute and the solvent
oxygen is both the solute and the solvent

Answers

Answer:

nitrogen is the solvent and oxygen is the solute

Step-by-step explanation:

Most of the time the solute will be present in a smaller quantity and the solvent will appear in a larger quantity.

Answer is A, nitrogen is the solvent and oxygen is the solute .

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