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Naddika [18.5K]
4 years ago
8

Describe a transformation that could be used to show that alternate interior angles are congruent.

Mathematics
1 answer:
Aliun [14]4 years ago
7 0

Answer:

Step-by-step explanation:

From the picture attached,

Let 'l' be the original line having one angle ∠BAC.

If the original line 'l' is shifted or translated to line 'm', angle BAC will replace the angle BDE.

Since, measure of angles are preserved in the translation,

m∠BDE = m∠BAC [corresponding angles]

Since, ∠BDE ≅ ∠MDA [Vertical angles]

Therefore, m∠MDA = m∠BAC

Hence, alternate interior angles (∠MDA) and (∠BAC) will be congruent when line 'l' is translated to line 'm'.

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which shows the students in order from greatest test score to lease test score Alex 0.95 Octavia 16/20 Tonya 9/10 Wilson 0.87 ​
Nonamiya [84]

Answer:

Alex (0.95), Tonya (0.90), Wilson (0.87), Octavia (0.80)

Step-by-step explanation:

To solve this, we have to convert all of the scores into either a decimal or a fraction. In this case, I will be solving all of them into decimals since it is easier.

Alex: 0.95

Octavia: 16/20 = 0.80

Tonya: 9/10 = 0.90

Wilson: 0.87

Therefore, we can order these from greatest score to least score.

Alex (0.95), Tonya (0.90), Wilson (0.87), Octavia (0.80)

4 0
3 years ago
The measure of the supplement of an angle is 84° less than the measure of the angle. Find the measures of the angles
babunello [35]

Let the measure of angle be 'x'

Since, the measure of the supplement of an angle is 84° less than the measure of the angle.

Therefore, measure of supplement of x = x - 84°

The measure of two supplementary angles is 180 degrees.

x + x -84^\circ = 180^\circ

2x -84^\circ = 180^\circ

2x =84^\circ + 180^\circ

2x =264^\circ

x =132^\circ

So, the measure of angle =x =132^\circ

Its supplement = x - 84°  = 132°  - 84°

=  48°

So, the measure of supplement of angle is 48 degrees.

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Ivanshal [37]
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