Consider the following equation.

-16p + 37 = 49 - 21p

select the equation that has the same solution as the given equation.

a: -14 + 6p = -9 - 6p

b: -55 + 12p = 5p + 16

c: 2 + 1.25p = 3.75p + 10

d: 3/2p - 5 + 9/4p = 7 - 5/4p

if you could also explain how to do this.

D.  3/2p - 5 + 9/4p = 7 - 5/4p

Step-by-step explanation:

We are given the equation;

-16p + 37 = 49 - 21p

We are supposed to identify the equation that has similar solution with the equation given;

-16p + 37 = 49 - 21p

Combining the like terms;

-16p + 21p = 49 - 37

 5p = 12

   p = 2.4

Solution for the choices given;

A.  -14 + 6p = -9 - 6p

     6p + 6p = -9 +14

      12p = 5

         p= 0.417

B. -55 + 12p = 5p + 16

    12p - 5p = 16 + 55

       7p = 71

         p = 10.14

C. 2 + 1.25p = 3.75p + 10

    1.25p - 3.75p = 10 - 2

             -2.5p = 8

                p = -3.2

D.  3/2p - 5 + 9/4p = 7 - 5/4p

     3/2p +5/4p +9/4p = 7 + 5

               5p =12

                     p = 2.4

Therefore, the equation that has similar equation with the one given is D. 3/2p - 5 + 9/4p = 7 - 5/4p

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc