Somone help me please

Problem 1

Explanation:

The order of the letters is important.

Note how T and U are the first two letters of TUVW. The same can be said about A and B being the first two letters of ABCD.

Since TUVW = ABCD, we know that TU = AB. The corresponding parts must be congruent for the overall figures to be congruent.

TU = 13 is given, so therefore AB = TU = 13 or simply AB = 13.

Problem 2

Explanation:

We'll use similar logic as done with problem 1. The order of the letters is important. Note that letter R is in slot 2 for QRSTU, and E is in the same slot number for DEFGH. The two angles E and R correspond to one another. Corresponding angles must be congruent for the overall figures to be congruent.

The diagram shows angle E = 143 degrees, so angle R = angle E = 143

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted