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Alik [6]
3 years ago
5

Find the value of x for which the lines a and b are parallel.

Mathematics
2 answers:
Harrizon [31]3 years ago
7 0

Answer:19

Step-by-step explanation:if you look at angle 148 it is the same as the one you are figuring out. Just solve it and you will get 19.

siniylev [52]3 years ago
4 0

Answer:

x = 19

Step-by-step explanation:

148 and 7x+15 are alternate interior angles and alternate interior angles are equal when the lines are parallel

148 = 7x+15

Subtract 15 from each side

148-15 = 7x+15-15

133 =7x

Divide each side by 7

133/7 =7x/7

19=x

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Triangles O N M and S R Q are shown. Angles O N M and S R Q are congruent. The length of side N M is 10 and the length of side S
valina [46]

Answer:

Option C.

Step-by-step explanation:

In △ONM and △SRQ,

\angle ONM\cong \angle SRQ

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We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.

According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.

It is given that \angle ONM\cong \angle SRQ. So, both triangles are similar by SAS if

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Divide both sides by 8.

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Therefore, the correct option is C.

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