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antiseptic1488 [7]
2 years ago
15

a student was given the following daigram and asked to prove that <1= <2 what would be the reason for the final step in th

e proof given line A and Line B are parallel prove <1=<2
Mathematics
1 answer:
Lostsunrise [7]2 years ago
5 0

The correct option based on the paralel line given is that the corresponding angles are congruent.

<h3>How to illustrate the information?</h3>

Given that a student was told to consider the diagram and asked to prove that angle 1 ≅ angle 2.

We are to find the reason for the second step in the following proof. Since lines A and B are parallel and cut by a transversal, so angles 1 and 3 are corresponding angles. That is, ∠1. ≅ ∠3

Also, angles 2 and 3 are vertically opposite angles, so ∠2 ≅ ∠3.

And, therefore we get ∠1 ≅ ∠2.

Thus, the reason in the second step will be angles 1 and 3 are corresponding angles and corresponding angles are congruent.

Learn more about parallel lines on:

brainly.com/question/2141319

#SPJ1

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Roberto wants to display his 18 sports cards in an album . Some pages hold 2 cards and others hold 3 cards .
nexus9112 [7]

Answer:

Step-by-step explanation:

Assuming Roberto wants to completely fill each page that he puts cards in, this function describes the number of 2-card pages, a, and 3-card pages, b.

2a + 3b =18

Ricardo can fill up 9 2-card pages, and 6 3-card pages.

a=9, b=0

We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:

a=6, b=2

Add 2 to b once more:

a=3, b=4

One more time:

a=0, b=6:

Thus, Ricardo can display his figures in the following page combinations:

a=9, b=0

a=6, b=2

a=3, b=4

a=0, b=6

Remember that a= number of 2-card pages and b=number of 3-card pages

There are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses. 

3 0
3 years ago
Expand and simplify . 5(3m+6n)-4(11m-8n) PLEASE HELP. BEST ANSWER RECIEVES A BRIANLIEST​
Lynna [10]

Answer:

-29m+62n

Step-by-step explanation:

5 (3m+6n)-4 (11m-8m)

15m+30n-44m+30n

15m-44m +32n+30n

-29m +62n

4 0
3 years ago
Please help me ASAP yall!!!
ASHA 777 [7]

Answer:

60

Step-by-step explanation:

<C+<D = 180 since they form a straight line

5x+20 +3x = 180

8x+20 = 180

Subtract 20 from each side

8x+20-20 = 180-20

8x = 160

Divide by 8

8x/8 = 160/8

x = 20

We want to find angle D

<D = 3x= 3*20 = 60

8 0
3 years ago
A window in the shape of a parallelogram has the dimensions given.
devlian [24]

Answer:

A. 20ft

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
.. through the points (4,7) and (-6, -6) and put into slope-intercept form​
TiliK225 [7]

Answer: y = 1.3x + 1.8

Step-by-step explanation: I used Desmos

5 0
3 years ago
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