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Nata [24]
3 years ago
10

laws of Sines with find the angle. Find each measurement indicated. Round your answers to the nearest tenth. Show your work plea

se. Part 2​

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

4. Z ≈ 46.1°

5. T ≈ 45.2°

6. F ≈ 15.0°

Step-by-step explanation:

4.

We need to use the Law of Sines, which states that for a triangle with legnths a, b, and c and angles A, B, and C:

\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

Here, we can say that ZY = a = 30, X = A = 110, XY = b = 23, and Z = B. Plug these in to find Z:

\frac{a}{sinA} =\frac{b}{sinB}

\frac{30}{sin(110)} =\frac{23}{sinZ}

Solve for Z:

Z ≈ 46.1°

5.

Use the Law of Sines as above.

\frac{a}{sinA} =\frac{b}{sinB}

\frac{26}{sin(76)} =\frac{19}{sinT}

Solve for T:

T ≈ 45.2°

6.

Again, use the Law of Sines as before.

\frac{a}{sinA} =\frac{b}{sinB}

\frac{29}{sin(137)} =\frac{11}{sinF}

Solve for F:

F ≈ 15.0°

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