Estimate the quotient using compatible numbers. 486÷ 5

Mathematics

1 answer:

Semmy [17]2 years ago

7 0

Answer:

97.2

In mixed number form its 97 1/5

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In the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°.

Margaret [11]

m∠8 + m∠7 = 180°

therefore

m∠7 = 180° - m∠8

m∠8 = 124°

substitute:

m∠7 = 180° - 124° = 56°

Answer: 56 degrees

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The measure of the exterior angle of the triangle is what degree?

RSB [31]

Answer:

92°

Step-by-step explanation:

By exterior angle theorem:

$(2x - 2) \degree = x \degree + 45 \degree \\ \\ (2x - 2 - x) \degree = 45 \degree \\ \\ (x - 2) \degree = 45 \degree \\ \\ (x - 2) = 45 \\ \\ x = 45 + 2 \\ \\ x = 47 \\ \\ (2x - 2) \degree = (2 \times 47 - 2)\degree \\ \\ (2x - 2) \degree = (94 - 2)\degree \\ \\ (2x - 2) \degree = 92\degree \\ \\ measure \: of \: the \: exterior \: angle \\ = 92 \degree$