Solve for x. show work and steps. geometry

a. x = 7

b. x = 2

Step-by-step explanation:

a. As we know when two secants are drawn to a circle from an exterior point then the product of external segments and the total length of each secant are equal.

Here in the given question length of external segment is 5 and 6 and total length of the secants are (x+5) and (6+4) = 10

Now from the given statement

(x+5)×5 = 10×6 = 60

(x+5) = 60÷5 = 12

x = 12-5 =7

b. As we have done in part a. we will follow the same rule

(x+4)×4 = (5+3)×3 = 8×3 =24

x+4 =24÷4 = 6

x = 6 - 4 =2

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!