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Vlad1618 [11]
3 years ago
12

The measure of an angle is 167°. What is the measure of its supplementary angle?

Mathematics
2 answers:
Anna007 [38]3 years ago
8 0

Answer:

x=13

Step-by-step explanation:

Supplementary angles add to 180 degrees

x+167 = 180

Subtract 167 from each side

x+167-167= 180-167

x = 13

katrin2010 [14]3 years ago
3 0

Answer:

13

Step-by-step explanation:

If two angles are supplementary, this means that they total 180 degrees.

Since the measure of one angle is 167, this means that the measure of the other angle is:

180-167=13

So, the other angle measures 13 degrees.

And we're done!

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The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4 if the perimeter of the triangle is 13.5 inches find the
marissa [1.9K]

Answer:

The shortest side of the triangle is 3 inches.

Step-by-step explanation:

Given:

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.

The perimeter = 13.5 inches.

Now, to find the shortest side.

<em>Let the one side be \frac{1}{6}x</em>

<em>And the second side be  \frac{1}{3}x.</em>

<em>And the third side be  \frac{1}{4}x.</em>

According to question:

\frac{1}{6}x+\frac{1}{3}x+\frac{1}{4}x=13.5

⇒\frac{x}{6}+\frac{x}{3}+\frac{x}{4}=13.5

Adding all the variables by taking common denominator we get:

⇒\frac{9x}{12}=13.5

<em>Multiplying both sides by 12 we get</em>:

⇒9x=162

<em>Dividing both sides by 9 we get</em>:

⇒x=18

Thus, <em>the sides of the triangle are</em>:

<u>1/6×18=3 inches.</u>

<u>1/3×18=6 inches.</u>

<u>1/4×18=9/2=4.5 inches</u>.

Therefore, the shortest side of the triangle is 3 inches.

4 0
2 years ago
What is the growth or decay and the percentage rate of Y=23(0.292)^x
torisob [31]

Answer:

So the decay percentage rate is of 70.8%

Step-by-step explanation:

An exponentil function has the following format:

y = ca^{x}

In which c is a constant.

If a>1, we have that a = 1 + r and r is the growth rate.

If a<1, we have that a = 1 - r and r is the decay rate.

In this problem:

a = 0.292

A is lesser than 1, so r is the decay rate.

1 - r = 0.292

r = 1 - 0.292

r = 0.708

So the decay percentage rate is of 70.8%

5 0
3 years ago
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