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MAVERICK [17]
3 years ago
13

Line p is parallel to line q. Which proof explains why the sun of the interior angles of the triangle must be 180

Mathematics
1 answer:
V125BC [204]3 years ago
4 0

Answer:

We consider a triangle ABC as attached in the answer.

We draw a line parallel to AB that passes  through point C.

Angles C and C' are vertical angles,  therefore ∠C = ∠C'.  

Angles B and B' are corresponding angles,  therefore ∠B = ∠B'.

Angles A and A' are corresponding angles, therefore ∠A = ∠A'.

it can be seen that angle sum ∠A + ∠B + ∠C is equal to the angle sum ∠A' + ∠B' + ∠C'.

The three angles A', B', and C' form together a straight angle  so, their angle sum is 180°. But then the angle sum ∠A + ∠B + ∠C must also be 180°.

This proofs that sum of angles of a triangle is equal to 180.

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adoni [48]

Answer:

feldspar, because it has a higher number then gypsum and apatite, and it can be scratched by quartz because it has a lower number.

5 0
2 years ago
2 lines intersect and create VERTICAL angles. One of the angles measures (3n-28) degrees and the other angle measures 83 degrees
kykrilka [37]

Answer:

n=37

Step-by-step explanation:

Two lines intersect and create vertical angles.

The vertical angles are (3n-28)^\circ$ and 83^\circ.

We know that vertical angles (also called vertically opposite angles) are equal. Therefore:

(3n-28)^\circ$ = 83^\circ.\\3n=28+83\\3n=111\\$Divide both sides by 3\\n=37

8 0
3 years ago
What is 2x+23-x=8+4x-6?
nevsk [136]
Are you solving for x? If so x=7
4 0
3 years ago
Suppose a randomly generated list of numbers from 0 to 9 that has a probability success of 80%. which of these groups of numbers
maria [59]
A is the answer because it is the widest variety
3 0
3 years ago
Resuelve con calculadora y escribe la regla utilizada
Anna11 [10]
36\times 100 = 3600\\\\8 \times 1000 = 8000\\\\5.6 \times 10 = 56\\\\5.6 \times 100 = 560\\\\5.6 \times 1000 = 5600\\\\2.12 \times 100 = 212

When you multiply by 10, 100, or 1000, you must move the decimal place over by how many zeroes there are. Once there is no more decimals, you add 0's to the end of the number until you are done.

For example, 5.6 x 1000

1000 has 3 zeroes.

That means we need to move the decimal spot 3 times.

5.6 x 1000 = 56 x 100

We got rid of the decimal but we still have 2 zeroes left. So now we just add 2 zeroes at the end of the number.

5.6 x 1000 = 56 x 100 = 5600

I hope that helps! :)
6 0
3 years ago
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