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.

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 class=

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Answer/Step-by-step explanation:

15. Based on the intersecting Chords Theorem, thus,

[tex] x \times 8 = 20 \times 6 [/tex]

[tex] 8x = 120 [/tex]

Divide both sides by 8

x = 15

17. Based on the two secants intersecting theorem,

[tex] (c + 13) \times 13 = (20 + 11) \times 11 [/tex]

Solve for c

[tex] 13c + 169 = (31) \times 11 [/tex]

[tex] 13c + 169 = 341 [/tex]

Subtract 169 from each side

[tex] 13c = 172 [/tex]

Divide both sides by 13

c = 13.2 (nearest tenth)

19. ✔️Based on the two secants intersecting theorem,

[tex] (x + 5) \times 5 = (15 + 7) \times 7 [/tex]

Solve for x

[tex] 5x + 25 = (22) \times 7 [/tex]

[tex] 5x + 25 = 154 [/tex]

Subtract 25 from each side

[tex] 5x = 129 [/tex]

Divide both sides by 5

x = 25.8

✔️according to the tangent and secant theorem, thus:

[tex] y^2 = 7 \times (15 + 7) [/tex]

Solve for y

[tex] y^2 = 7 \times (22) [/tex]

[tex] y^2 = 154 [/tex]

Square both sides

y = 12.4 (nearest tenth)

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