For problems 3 and 4, find the missing side of the triangle. Leave answers in simplest radical form.

Mathematics

1 answer:

maria [59]3 years ago

7 0

Answer: 3. 4 $\sqrt{13}$ 4. $\sqrt{225}$

Step-by-step explanation:

8^2 + 12^3 = c^2

64 + 144 = c^2

208 = c^2

√208

$4\sqrt{13}$

The final answer is the square root of 208

8^2 + b^2 = 17^2

64 + b^2 = 289

-64 64

b^2 = 225

$\sqrt{225}$

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There are three monomials such that the greatest common factor of the first and second monomials is 2xy, and the greatest common

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3 years ago

What is m Any answers?

Likurg_2 [28]

Answer:

B. 68°

Step-by-step explanation:

Since, opposite sides of the quadrilateral MNPQ are parallel.

Therefore, it is a parallelogram.

Measures of the opposite angles of a parallelogram are equal.

So,

(6x - 2)° = (4x + 36)°

6x - 2 = 4x + 36

6x - 4x = 36 + 2

2x = 38

x = 38/2

x = 19

$m\angle M = (6x - 2)\degree \\ \\ m\angle M = (6 \times 19- 2)\degree \\ \\ m\angle M = (114- 2)\degree \\ \\ m\angle M =112\degree \\ \\ \because m\angle M + m\angle N = 180\degree \\ (adjacent \: angles) \\ \\ \therefore m\angle N = 180\degree - m\angle M \\ \\ \therefore m\angle N = 180\degree - 112 \degree \\ \\ \therefore m \angle N = 68\degree$