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3 years ago

given B is the midpoint of line CE, Angle C is congruent to angle E. prove angle a is congruent to angle D

Mathematics

1 answer:

ser-zykov [4K]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

The ASA congruence postulate is being invoked, so you're looking to show two angles and the side between them are congruent.

_____

Personally, I'd go at it differently. I'd say that alternate interior angles ∠C≅∠E means AE║CD, so ∠A≅∠D because they're alternate interior angles. B does not need to be a midpoint for this proof.

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g Suppose that a die is rolled twice. What are the possible values that thefollowing random variables can take on:(a) the maximu

KengaRu [80]

Answer:

(a) A = {1, 2, 3, 4, 5, 6}

(b) B = {1, 2, 3, 4, 5, 6}

(d) D = {-5, -4, -3, -2, -1, -0, 1, 2, 3, 4, 5}

Step-by-step explanation:

Assume each roll can result in the numbers 1, 2, 3, 4, 5, or 6.

(a) If both rolls result in a 1, the maximum value is 1. If either roll results in a 6, the maximum value is 6; all integers between 1 and 6 are also possible. Therefore, the possible values are:

A = {1, 2, 3, 4, 5, 6}

(b) If either roll results in a 1, the minimum value is 1. If both rolls result in a 6, the minimum value is 6; all integers between 1 and 6 are also possible. Therefore, the possible values are:

B = {1, 2, 3, 4, 5, 6}

(c) If both rolls result in a 1, the sum is 2. If both rolls results in a 6, the sum is 12; all integers between 2 and 12 are also possible. Therefore, the possible values are:

C = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

(d) If the first roll results in a 1 and the second results in a 6, the result is -5. On the other hand, if the first roll results in a 6 and the second results in a 1, the result is 5; all integers between -5 and 5 are also possible. Therefore, the possible values are:

D = {-5, -4, -3, -2, -1, -0, 1, 2, 3, 4, 5}

7 0

3 years ago

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge . She notices th

Anuta_ua [19.1K]

Answer:

Volume of the gigantic fridge is 2.5 times the volume of regular fridge.

Step-by-step explanation:

This question is incomplete; here is the complete question.

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.

How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?

Area of the base, Height, Price

Regular Fridge: 1m² / 2m / $200

Large Fridge: 2m² / $\frac{5}{2}$ m / $600

In this question cost of the large fridge is 3 times as much as the regular fridge.

Area of the base of regular fridge = 1m²

Height of the regular fridge = 2m

So volume of this fridge = 1×2 = 2m³

Area of the base of the large fridge = 2m²

Height of the large fridge = $\frac{5}{2}$ m

Volume of the large fridge = $\frac{5\times 2}{2}$ = 5m³

Ratio of the volumes of the large and regular fridge = $\frac{5}{2}=2.5:1$

Therefore, volume of the gigantic fridge is 2.5 times the volume of regular fridge.

3 0

3 years ago

Please help

vagabundo [1.1K]

I would say no to that.

4 0

3 years ago

What fraction is greter than 3 - 5

Julli [10]

Answer:

4/5 is greater

Step-by-step explanation:

7 0

2 years ago

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (6, 8). After leaving th

stiv31 [10]

Answer:

He walks 28 blocks.

Step-by-step explanation:

0,0 to 0,8 is 8 blocks

0,8 to 6,8 is 6 blocks

6,8 to 6,0 is 8 blocks

returning home (6,0 to 0,0) is 6 blocks

8+6+8+6=28 blocks

6 0

3 years ago

given B is the midpoint of line CE, Angle C is congruent to angle E. prove angle a is congruent to angle D ​

given B is the midpoint of line CE, Angle C is congruent to angle E. prove angle a is congruent to angle D