9514 1404 393
Answer:
- angle: 32°
- supplement: 148°
Step-by-step explanation:
Let x represent the angle. Then its complement is 2x-6:
x +(2x -6) = 90
3x = 96
x = 32
180 -x = 148
The angle is 32°; its supplement is 148°.
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<em>Additional comment</em>
We are given a relation between the angle and its <em>complement</em>. We are asked for the value of the angle and its <em>supplement</em>. A typo in the problem is suspected.
Applying the translation rule:
G(0, 4) → (0-5, 4+2) → G'(-5, 6)
Let the weight of the full Volume of nails in the box be W.
Let the weight of the box be B.
2/3 W + B = 130 ........i From the first statement.
3/8 W + B = 74 ......ii From the second statement.
Equation (i) Minus (ii)
2/3 W - 3/8 W + B - B = 130 - 74
(16W - 9W) / 24 = 56
7W / 24 = 56.
W = 56 * 24 / 7
W = 192 Pounds.
Substituting V = 64 in equation (i)
2/3 W + B = 130
2/3 * 192 + B = 130
2 * 64 + B = 130
128 + B = 130
B = 130 -128 = 2.
Therefore, weight of box, B = 2 pounds.
Answer:
6x -10 = 5x+12 (vertically opposite angles)
6x-5x =12+10
x= 22
Step-by-step explanation:
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