Pls help these are due TODAY

10

Step-by-step explanation:

the two triangles formed from c are similar which means the sides are proportional

the proportion of one length of a side of a triangle to a similar side of the other triangle is the same as another side to its corresponding side of the other triangle. god im bad explaining stuff

anyway 2 is to 8 what 2.5 is to length BC. 2/8 = 2.5/x

    -crossmultiplyyy

2*x = 2.5*8

2x = 20

2x/2 = 20/2

x = 10

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!