Given △rst≅△lmn, m∠r=65°, and m∠m=70°, what is the measure of ∠t?

45°

Step-by-step explanation:

Corresponding parts of congruent triangles are congruent.

From the congruence statement, we know that ∠R≅∠L; since m∠R = 65, this means that m∠L = 65 as well.

We know that ∠S≅∠M; since m∠M = 70, this means that m∠S = 70.

This gives us two of the three angles of the triangle.  The sum of the measures of a triangle is 180°; this gives us

65+70+x = 180

135+x = 180

Subtracting 135 from each side,

135+x-135 = 180-135

x = 45°

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

its an acute right triangle

step-by-step explanation: