Answer:
∠ 1 = 123°
Step-by-step explanation:
One way
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an external angle of the triangle, thus
∠ 1 = 90° + 33° = 123°
Second way
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for third angle in Δ
third angle = 180° - (90 + 33)° = 180° - 123° = 57°
The third angle and ∠ 1 form a straight angle and are supplementary, thus
∠ 1 = 180° - 57° = 123°
Answer:
9+x
Step-by-step explanation:
The area of a rectangle is the width multiplied by the length. Working backwards, then, you can find the width or the length by dividing the area by the other one. In this case, the length of the rectangle is the area, or 81-x^2, divided by the width, 9-x. 81-x^2 factored out is (9-x)(9+x), so dividing this by 9-x yields a length of 9+x. Hope this helps!
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Six less than five times a number is at least 29.
I believe the answer is supplementary
