Answer: B
Step-by-step explanation:
To find the result of the dilation, multiply each x and y coordinate by the scale factor, which in this case, is 1.5. I started out with the coordinate P, which had an original coordinate of (-2,1). In this case, I multiplied -2 by 1.5, and 1 by 1.5 to get (-3, 1.5). Since this is multiple choice, the only one with P as (-3, 1.5) is B, so we don't have to check the others.
Given :
- An angle which measures 26.8° less than the measure of its complementary angle.
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To Find :
- The measure of each angle.
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Solution :
- Let's assume the one of the complementary angle as "x" and the other angle as (x – 26.8)° .
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Now,
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According to the Question :
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![{\longrightarrow \qquad \sf{ x + {(x - 26.8)}^{ \circ} = {90}^{ \circ} }}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%20x%20%2B%20%7B%28x%20-%2026.8%29%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%20%7B90%7D%5E%7B%20%5Ccirc%7D%20%7D%7D)
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![{\longrightarrow \qquad \sf{ x + {x - 26.8}^{ \circ} = {90}^{ \circ} }}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%20x%20%2B%20%7Bx%20-%2026.8%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%20%7B90%7D%5E%7B%20%5Ccirc%7D%20%7D%7D)
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![{\longrightarrow \qquad \sf{ 2 {x - 26.8}^{ \circ} = {90}^{ \circ} }}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%202%20%7Bx%20-%2026.8%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%20%7B90%7D%5E%7B%20%5Ccirc%7D%20%7D%7D)
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![{\longrightarrow \qquad \sf{ 2 x = {90}^{ \circ} + 26.8^{ \circ}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%202%20x%20%20%20%3D%20%20%7B90%7D%5E%7B%20%5Ccirc%7D%20%20%2B%2026.8%5E%7B%20%5Ccirc%7D%7D%7D)
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![{\longrightarrow \qquad \sf{ 2 x = 116.8^{ \circ}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%202%20x%20%20%20%3D%20%20116.8%5E%7B%20%5Ccirc%7D%7D%7D)
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![{\longrightarrow \qquad \sf{ x = \dfrac{116.8^{ \circ}}{2}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%20x%20%20%20%3D%20%20%20%20%5Cdfrac%7B116.8%5E%7B%20%5Ccirc%7D%7D%7B2%7D%7D%7D)
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![{\longrightarrow \qquad \frak{\pmb{ x =58.4^{ \circ}}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%20%5Cqquad%20%20%5Cfrak%7B%5Cpmb%7B%20%20x%20%20%20%3D58.4%5E%7B%20%5Ccirc%7D%7D%7D%7D)
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Therefore,
- Other angle = 58.4° – 26.8° = 31.6°
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Hence,
- The measure of the each angles are 58.4° and 31.6° .
(X (Fiona) + Y (Gary))/20 (10 days for each of them so it’s 20)
(x+y)/6
Answer:
Earnings (E), Time (T) Rate (R) E = 9t
On Friday he worked 9 hours
Step-by-step explanation:
divide 36 by 4 to get 9 (Fo that for all the earnings to make sure you got the correct answer) Then just divide 81 by 9 to get 9 hours.