Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning.

Given:

Triangle RQS and Triangle UVT

To find:

whether the triangles are similar or not.

Solution:

In triangle RQS,

Sum of all the angles of a triangle = 180°

m∠R + m∠Q + m∠S = 180°

m∠R + 85° + 35° = 180°

m∠R + 120° = 180°

Subtract 120° from both sides,

m∠R = 60°

In triangle VUT,

Sum of all the angles of a triangle = 180°

m∠V + m∠U + m∠T = 180°

m∠V + 65° + 35° = 180°

m∠V + 100° = 180°

Subtract 100° from both sides,

m∠V = 80°

If two triangles are similar then their angles are congruent.

In ΔRQS,

∠R= 60°, ∠Q= 85°, ∠S= 35°,

In ΔVUT,

∠V= 80°, ∠U= 65°, ∠T= 35°,

Here the angles are not congruent.

Therefore the triangles are not similar.

well if he bought them at 5 cedis each sold them at 7 cedis each then he would make a profit of 2 cedis of each book. if in total he made 150 cedis profit that means he sold 75 books. he lost 12 books at the start so that means he originally bought a total of 82 books.

step-by-step explanation:

the answer is option a you would get more money.it would be $250.

step-by-step explanation:

for option b 200/2=100=50% 100/2=50=25% 50/5=10=5% it would be $220