Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm
The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.
Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
Answer:
Step-by-step explanation:
- <em>Sum of exterior angles of any polygon is 360°</em>
<h3>Exercise 8</h3>
<u>Sum of given angles:</u>
- 2x + 60° + 64° + 36° + 48° = 360°
- 2x + 208° = 360°
- 2x = 360° - 208°
- 2x = 152°
- x = 76°
<h3>Exercise 9</h3>
<u>Sum of given angles:</u>
- x + 90° + 109°+ 73° = 360°
- x + 272° = 360°
- x = 360° - 272°
- x = 88°
2 , and 13 , it'll be clear if you use a coordinate plane
Answer:
<em>therefore</em><em>,</em><em> </em><em> </em><em>option</em><em> </em><em>B </em><em>is </em><em>correct</em>
<em>hope </em><em>this </em><em>answer </em><em>helps </em><em>you</em><em> </em><em>dear.</em><em>.</em><em>.</em><em>take </em><em>care!</em>
40 + 60 = 100
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