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Ipatiy [6.2K]
2 years ago
14

Angles A and B are complementary. If sin A = 4x + 10 and cos B = 2x + 16, what is the value of x? (1 point) 3 4 13 22

Mathematics
1 answer:
olga_2 [115]2 years ago
5 0

Answer: 3

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement, so

4x+10=2x+16\\\\2x+10=16\\\\2x=6\\ \\ x=3

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Elan Coil [88]

Answer:

b=3A-a-c

Step-by-step explanation:

$A=\frac{a+b+c}{3} $

Multiply both sides by 3

$3A=a+b+c $

Add -b-c both sides

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7 0
3 years ago
Keller boat travels 24mph. find the rate of the river if she can travel 6 mi upstream. in the same amount of time she can go 10
nikitadnepr [17]
The <u>correct answer</u> is:

6 mph.

Explanation:

We will use the formula d = rt for this, where d is <u>distance</u>, r is <u>rate</u>, and t is <u>time</u>.

We know that the time for both distances is the same; this means we want to isolate t in our formula.  To do this, we will cancel r by dividing both sides:
d/r = rt/r
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We will write an expression for the time upstream, an expression for the time downstream, and set them equal.

For the time upstream, the distance is 6 and the rate is 24-x; this gives us

\frac{6}{24-x}

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\frac{10}{24+x}

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Using the distributive property, we have
6*24 + 6*x = 10*24 - 10*x
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Adding 10x to each side,
144+6x+10x = 240-10x+10x
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Subtract 144 from each side:
144+16x-144 = 240-144
16x = 96

Divide both sides by 16:
16x/16 = 96/16
x = 6
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Step-by-step explanation:

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