Algebra Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not a whole number, round to the nearest tenth.

15.

17.

19. ;

Step-by-step explanation:

15. (intersecting chord theorem)

Solve for x

Divide both sides by 8

17. (two secants intersecting theorem)

Solve for c

Subtract 169 from each side

Divide both sides by 13

(nearest tenth)

19. (two secants intersecting theorem)

Solve for x

Subtract 25 from each side

Divide both sides by 5

(nearest tenth)

(tangent and secant theorem)

Solve for y

Take the Square root of both sides

(nearest tenth)

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

47 - 90 = 43

43 - 180 = x

x = 137