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tatiyna
3 years ago
10

Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent

Mathematics
2 answers:
erica [24]3 years ago
5 0

Answer:

Sample Response: Because vertical angles are congruent, angles 1 and 4 are congruent. Because corresponding angles are congruent, angles 4 and 8 are congruent. Because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.

Step-by-step explanation:

Liono4ka [1.6K]3 years ago
3 0

Answer: You can prove that and are congruent using the same method. The converse of this theorem is also true; that is, if two lines and are cut by a transversal so that the alternate exterior angles are congruent.

Step-by-step explanation:

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4x + 12 = 72
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3 years ago
1- ? divided by 3 = -7 <br> 2- -50 divided by ? =10<br> 3- ? divided by -2 = 10
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3 years ago
Hurry and respond with how you got it!
Sergeeva-Olga [200]

a = 6.2

Solution:

Given ABC is triangle.

AC = b = 8, BA = c = 11, ∠A = 32.2°

BC = a

To find the length of a:

Law of cosines:

a^{2}=b^{2}+c^{2}-2 b c \cdot \cos A

a^{2}=8^2+11^{2}-2 \times 8 \times 11 \cdot \cos 32.2^\circ

a^{2}=64+121-174 \cdot \cos 32.2^\circ

a^{2}=185-174 (0.8461)

a^{2}=185-147.221

a^{2}=37.779

Taking square root on both sides of the equation.

a = 6.1464

a = 6.2

The length of BC is 6.2.

5 0
3 years ago
30. Tina went to batting cages with $20. She rented a bat for $3. 25 and
aliya0001 [1]

Answer:

5

Step-by-step explanation:

Tina started with $20, but had to spend $3.25 on the bat.

$20-$3.25 = $16.75, which is all she has left for rounds.

Each round costs $3.00

$16.75 divided by $3.00 comes out to 5.58 rounds, but since she can't play 1/2 a round, that means she could only play 5 rounds

5 rounds X $3.00 per round comes to $15.00

8 0
3 years ago
2(3x+5)=7x-4<br> ?<br> 10=x-4<br> 14=x
andriy [413]

Answer:

×=14

Step-by-step explanation:

2(3×+5)=7×-4

6×+10=7×-4

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×=14

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3 years ago
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