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GaryK [48]
3 years ago
13

Two angles are supplementary if their sun is 180. The larger angle measures five degrees more than four times the measures of a

smaller angles. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle
The smaller angle measures:
The larger angle measures:
Mathematics
1 answer:
Jet001 [13]3 years ago
3 0

Answer:

The smaller angle is 35 and the larger one is 145.

Step-by-step explanation:

In order to find this, we need to express the larger angle in terms of the smaller angle (x).

4x + 5 = large angle.

Now that we have this, we can add them together and set equal to 180.

x + (4x + 5) = 180

5x + 5 = 180

5x = 175

x = 35

Now that we have the value of the smaller angle, we can plug in to get the larger angle.

y = 4x + 5

y = 4(35) + 5

y = 140 + 5

y = 145

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let's firstly convert the mixed fractions to improper fractions and then to do away with the denominators, let's multiply both sides by the LCD of all denominators.

\stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{4}-\cfrac{4}{5}=\cfrac{35}{20}-\boxed{?}\implies \stackrel{\textit{multipling both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{7}{4}-\cfrac{4}{5} \right)=20\left( \cfrac{35}{20}-\boxed{?} \right)} \\\\\\ 35-16=35-20\boxed{?}\implies 19=35-20\boxed{?}\implies -16=-20\boxed{?} \\\\\\ \cfrac{-16}{-20}=\boxed{?}\implies \cfrac{4}{5}=\boxed{?}

8 0
2 years ago
Read 2 more answers
Given that
NeX [460]

Answer:

R = 4x + 8y

-8y = 4x - R

-8y = 4(4) - 32

-8y = 16 - 32

-8y = -16

we divide through by -8

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6 0
2 years ago
The question is in the image.
miskamm [114]

Step-by-step explanation:

f(x) = 4x + 1

g(x) = x² - 5

(f+g)(x) = f(x) + g(x)

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7 0
3 years ago
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