Simplify 4x +3+x² – x
1 answer:
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Answer:
x = 100°
Explanation:
The polygon has 6 sides, meaning it's a hexagon. In the picture you can see the following steps under #1:
(6-2) x 180° = 4 x 180 = 720°
720 is the total amount that all the angles should add up to, including the missing number x.
To solve for x add all of the angles up:
120 + 156 + 145 + (x + 9) + x + 90 = 720
520 + 2x = 720 (subtract 520 from both sides)
-520
2x = 200 (divide 200 by 2 to have x on its own)
x = 100°
To make sure it's correct, plug in the value (100°) for x in the original equation to check the answer:
120 + 156 + 145 + 100 + 9 + 100 + 90 = 720
720 = 720 Correct
Answer:
Step-by-step explanation:
<em>m∠D</em> = 90° - 51° = <em>39°</em>
sin E = ⇒ DE = DF × sin E
<em>DE</em> = 18 sin51° ≈ <em>14.0 ft.</em>
cos E = ⇒ EF = DF × cos E
<em>EF</em> = 18 × cos51° ≈ <em>11.3 ft.</em>
