Question

Solve for x
A.-8
B.8
C.-9
D.9

Answer 1

The answer for this question as you need to find the missing one is that the solve is B

Answer 2

By applying the midpoint theorem and solving the resulting equations, we find that the value of x is -9.

Let's analyze the given information about Triangle RST. The triangle has midpoints B and C on sides RS and RT, respectively. The lengths are described as follows:

ST = x + 29

BC = x + 19

RB = BS

RC = CT

To find the value of x, we can use the midpoint theorem, which states that the segment joining the midpoints of two sides of a triangle is parallel to the third side and half of its length.

Here, RB is parallel to ST, and RC is parallel to TS.

So, according to the midpoint theorem:

RB = 1/2 * ST

BS = 1/2 * ST

RC = 1/2 * TS

CT = 1/2 * TS

Now, we can set up equations based on these relationships:

x + 19 = 1/2 * (x + 29)

2(x + 19) = x + 29

Solving these equations will give us the value of x.

2x + 38 = x + 29

x = -9

So, the correct answer is:

C. -9