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Answer:
70° and 110°
Step-by-step explanation:
The sum of angles is 180°; their difference is 40°. So, the larger is ...
(180° +40°)/2 = 110°
The smaller is 180° -110° = 70°
The two angles are 70° and 110°.
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Above, we have "cut to the chase." If you let the larger be 'a' and 's' and 'd' represent the sum and difference, you have ...
a + (a-d) = s . . . . the sum of the larger and smaller angles
2a = s+d . . . . . . add d
a = (s+d)/2 . . . . the relation we used.
Answer:
width = 7 and length = 9
Step-by-step explanation:
Let's assume width = w, and length = 2 + w
So area of a rectangle = width * length
63 ft² = w (2 + w)
63 = 2w + w²
w² + 2w - 63 = 0
Use the quadratic formula to solve this
here, a = 1, b = 2 and c = -63
w = 7 or -9
The dimensions of a rectangle cannot be negative. So we take the dimension, w = 7.
Width = 7 and Length = 7+2 = 9
I need help with this too i dont know the process
Answer:
The angles are 2x= 2x18°
=36° and 3x=3×18
=54°
Step-by-step explanation:
It is given that two complementary angles are in the ratio 2:3.
Consider 2x and 3x as the angles.
We know that, if two angles are complementary, then their sum is 90° .
Then, 2x+3x=90°
⟹ 5x=90°
⟹ x= 90/5
x=18°
Here, the angles will be 2x=2×18
°=36°
and 3x=3×18° =54 °
Hope this helps.
