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7nadin3 [17]
3 years ago
15

Match the justifications for each step in order to prove the Alternate Interior Angles Theorem. Note that lines p and q are para

llel. p∥q
∠1≅∠7
∠1≅∠3
∠3≅∠7

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0

Answer:

Option (3)

Step-by-step explanation:

There are two parallel lines 'p' and 'q' and a transversal line is intersecting these lines at two distinct points.

Each pair of angles formed on the inner side of the parallel lines but opposite sides of the transversal line are the alternate interior angles.

Pair of angles (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles.

Since, alternate interior angles are equal in measure,

∠2 ≅ ∠6

∠3 ≅ ∠7

Option (3) will be the answer.

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Simplify the following expression:
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Answer:

2nd option

Step-by-step explanation:

Given

2x - 8y + 3x² + 7y - 12x ← collect like terms

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A small company has 6 employees with associate degrees, 2 employees with bachelor's degrees, and 8 employees with master's degre
aleksklad [387]

Using it's concept, there is a 0.625 = 62.5% probability that he or she has a bachelor's or a master's degree.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

The company has 6 + 2 + 8 = 16 employees, out of which 2 + 8 = 10 have a bachelor's or a master's degree, hence the probability is:

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Joe smith scored 37 of his teams 100 points in a game. What percentage of points did he score?
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Please help! A rectangle with an area of 104 square centimeters has a length and width in a ratio of 13:2.
Ghella [55]

Answer:

length = 26 cm

width = 4 cm

Step-by-step explanation:

A = 104 cm²

A = length x width

ratio of length and width = 13 : 2

total ratio of length and width is 15 = a

so ratio of length is (13/15)a and width (2/15)a

A = length x width = (13/15)a x (2/15)a = (26/225)a² = 104

a² = 104 x 225 : 26 = 900

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3 years ago
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