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3 years ago

An angle's complement is 35°. Find the measure of its supplement. A) 55° B) 65° C) 125° D) 155° E) 180°

Mathematics

1 answer:

kenny6666 [7]3 years ago

7 0

Answer:

C) 125°

Step-by-step explanation:

Supplementary angles add to 180 degrees. Complementary angles add to 90

An angle's complement is 35°.

35+x =90

Subtract 35 from each side

35 -35+x = 90-35

x = 55

We want to find the supplement of this angle

55+y = 180

Subtract 55 from each side

55-55+y = 180-55

y= 125

The angle is 55 so its supplement is 125

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Step-by-step explanation:

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Phantasy [73]

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What’s is the inverse function of a(m)=0.6735e^0.423m

natta225 [31]

Answer:

$a^{-1}(m)=\frac{ln(\frac{m}{0.6735})}{0.423}$

Step-by-step explanation:

The function is $a(m)=0.6735e^{0.423m}$

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$y=0.6735e^{0.423m}$

Now, interchanging m and y:

$m=0.6735e^{0.423y}\\$

Now, solving for y:

$e^{0.423y}=\frac{m}{0.6735}\\ln[e^{0.423y}]=ln[\frac{m}{0.6735}]\\0.423y=ln(\frac{m}{0.6735})\\y=\frac{ln(\frac{m}{0.6735})}{0.423}$

Thus, the inverse function is:

$a^{-1}(m)=\frac{ln(\frac{m}{0.6735})}{0.423}$

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3 years ago

One side of a triangle is 2 times the second side. The third side is 15 feet longer than the second side. The perimeter of a

ch4aika [34]

Answer:

16, 8, 23

Step-by-step explanation:

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Use the given equation to determine if the points in the brackets are on the graph

dmitriy555 [2]

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<h3>How to determine if the points in the brackets are on the graph?</h3>

The equation of the line is given as

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The points are given as:

{(0,2),(1,3),(4,7),(6,10)}

Rewrite as

(x, y) = {(0,2),(1,3),(4,7),(6,10)}

Next, we substitute the x and y values in the equation 4x - 3y = -6

So, we have

(0, 2):

4(0) - 3(2) = -6

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(1, 3):

4(1) - 3(3) = -6

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4(4) - 3(7) = -6

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(6, 10):

4(6) - 3(10) = -6

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Hence, the points in the brackets are on the graph are (0, 2) and (6, 10)

Read more about linear equations at:

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