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tino4ka555 [31]
3 years ago
8

Solve and graph the solution to each inequality.

Mathematics
1 answer:
makvit [3.9K]3 years ago
7 0

Answer:

x ≤ 24

Step-by-step explanation:

x + 14 ≤ 38

   - 14    -14

       x ≤ 24

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<u>Given</u>:

Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U.

The length of TU is (y - 2).

The length of UV is 8.

The length of SW is (y + 4)

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We need to determine the length of line segment SV.

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The value of y can be determined using the intersecting secant theorem.

Applying, the theorem, we get;

WV \times SV=UV \times TV

Substituting the values, we have;

6 \times (y+4+6)=8 \times (y-2+8)

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          6y+60=8y+48

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               -2y=-12

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<u>Length of SV:</u>

The length of SV is given by

SV=SW+WV

SV=y+4+6

SV=6+4+6

SV=16

Thus, the length of SV is 16 units.

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