Find the measure of each angle indicated.

Mathematics

1 answer:

Kryger [21]3 years ago

5 0

The correct answers are as follows:

11) 110 - alternate exterior angles
12) 84 - alternate interior angles
13) 80 - supplementary angles
14) 111 - alternate interior angles
15) 125 - alternate interior angles
16) 47 - alternate exterior angles
17) 53- corresponding angles
18) 113-alternate interior angles

Hope this answers the question.

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ZDFG and LJKL are complementary angles. DFG = x + 1, and JKL = x - 7. Find the

Step2247 [10]

I think the answer is D

7 0

3 years ago

Calculate the length of the side of the square to 1dp.

Sveta_85 [38]

Answer:

72 cm

Step-by-step explanation:

You can solve this problem using the properties of the 45-45-90 right triangle. Assuming the 12 cm is a diagonal of the square, each side of the square can be modeled as x, and the diagonal will be x $\sqrt{2}$ .

This means $x\sqrt{2} =12$ , so $x=\frac{12}{\sqrt{2} }$ .

Next, to find the area of the square you take the square of any of its sides. Since x is the length of one side, and $x=\frac{12}{\sqrt{2} }$ , you can square $\frac{12}{\sqrt{2} }$ to get the area. This is equal to $\frac{144}{2}$ or 72 cm.