List the sides of ∆xyz in order from shortest to longest if m∠x = 51, m∠y = 59, and m∠z = 70.

YZ < ZX < XY

Step-by-step explanation:

In a triangle the side opposite to largest interior angle is largest, opposite to medium interior angle is medium and opposite to smallest interior angle is smallest.

Given,

In triangle XYZ,

m∠X = 51°, m∠Y = 59°, and m∠Z = 70°,

Since, 51° < 59° < 70°,

⇒ m∠X < m∠Y < m∠Z

Also, sides YZ, ZX and XY are the opposite sides of the angles X, Y and Z respectively,

Hence, by the above property,

YZ < ZX < XY

Which is the required order.

2nd one in the first row is correct

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