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Softa [21]
2 years ago
9

Sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. on sunday sam hopes to make at least $150 pa

inting rooms and can work for exactly 12 hours. which of the following sets represents the range of rooms(r) that sam can paint without violating either his monetary or time restriction?
A. r={3,6}
B. r={6,10}
C. r={3,5}
D. r={3,10}
Mathematics
2 answers:
Inga [223]2 years ago
8 0
The answer is A because 3 rooms takes 6 hours
Marianna [84]2 years ago
3 0

the answer would be A because 3 rooms would equal 150 and that would only take 6 hours to complete.


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If AD and BD are bisectors of CAB and CBA respectively. Find the sum of angles x and y.
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The picture in the attached figure

step 1
we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2

step 2
In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
∠CAB + ∠CBA = 70° ------> divide by 2 both sides
∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3
substitute equation 1 and equation 2 in equation 3
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hence

the answer is
x+y =35°
⇒ x + y = 35° ...[From equation (1) and (2)]

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2 years ago
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Rufina [12.5K]
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We have:
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We will use formula for quadratic equation:
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Nezavi [6.7K]
Add the two equations and use the elimination method. The x term will "cancel out" to be able to solve for the y term.

STEP 1
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12x−11y=88 ​
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STEP 2
substitute y value into either original equation

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Hope this helps! :)
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