In a triangle xyz, ab is a midsegment. find the length of ab.

a. 25
b. 31
c. 30
d. 35

Option A.

Step-by-step explanation:

step 1

Find the value of x

we know that

If AB is a mid-segment, then AB is parallel to YZ

so

Triangles AXB and YXZ are similar by AA Similarity Theorem

Remember  that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

we have that

----> by Midpoint Theorem

substitute the given values in the expression above

solve for x

Multiply by (2x+2) both sides

Group terms

step 2

Find the length of AB

substitute the value of x

i think it's either c or d

step-by-step explanation: the entire question is extremely odd. 04 obviously refers to the interest rate. honestly i will say the answer is c. because the (2 x 12) part would mean it's compounded semiannually. i'll say choose c.

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!