Your answer is 27.0 because to get your answer, you need to multiply 5.4x5

Ooh, quadratic equations!

alright, you see that zero at the end right?

that means you are trying to find the two factors

I'll write out the equation on paper to show you

take note of the signs in b and c

(ax²+bx+c)

because 5x is a negative (-5x), when you factor it out, the two, when multiplied together, should be negative. and because 30 is negative, the numbers will have two different signs. in other words, one will be positive and one will be negative.

now that that's cleared, we need to find all of the multiples of 30

there is:

30×1

15×2

10×3

and 6×5

of all of them, 10 and 3 would give you the -5 needed in -5× since one of them are going to be multiplied times 5

now let's factor it:

(5x+10)(x-3)

finally, divide everything

I wrote everything down for you to see

(7-11) • (5) = -20

A. (5) • 7 + (5) • (-11)

↳ 35 + (-55)

↳ 35 - 55 = -20

B. -(-7+11) • (5)

↳ -4 • 5 = -20

C. (5) • 7 - (5) • 11

↳ 35 - 55 = -20

D. (7+11) • (5)

↳ 18 • 5 = 90

A B & C are correct

(6,6). See how much was added to the first point, it’s 1,1 so add that to the other point also.

**Step-by-step explanation:**

1. T is the midpoint of QR, U is the midpoint of QS, and V is the midpoint of RS.

This is the information **given** in the problem statement.

2. **TU, UV, and VT are midsegments**

Midsegments connect midpoints of opposite sides. So TU, UV, and VT are midsegments.

3. TU = ½ RS, UV = ½ QR, and VT = ½ SQ

By **Triangle Midsegment Theorem**, a midsegment connecting the midpoints of two sides of a triangle is half the length of the third side.

4. TU/RS = 1/2, UV/QR = 1/2, VT/SQ = 1/2

**Division property**

5. TU/RS = UV/QR = VT/SQ

Transitive property

6. ΔQRS ~ ΔVUT

Since we've shown that the corresponding sides of these triangles are proportional, then by **Converse of Similar Triangles Theorem**, the triangles must be similar.