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

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

41*67/2=1373.5

step-by-step explanation:

i just used a calculator