3 years ago

Four feet are cut from a 12-foot board. What is the percent decrease in length?

Mathematics

1 answer:

Lilit [14]3 years ago

8 0

25% is the precent decease

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The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?

Anestetic [448]

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

$S=180^o(n-2)$

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

$S=180^o(8-2)=1,080^o$

The linear equation that represent this problem is

$\frac{x}{2}+7x=1,080$

solve for x

$\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o$

$\frac{x}{2}=72^o$

therefore

7 of the angles measure 144 degrees each and one angle measures 72 degrees

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3 years ago

Write the expanded from of h(3k-12.4)

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Answer:

3kh - 12.4h

Step-by-step explanation:

h(3k-12.4)

= h(3k) - h(12.4)

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Step-by-step explanation:

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