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3 years ago

Find the unknown angle measure by solving for the given variable.Supplementary angles

Mathematics

1 answer:

likoan [24]3 years ago

3 0

Step-by-step explanation:

Given that,

∠PSQ = 13x+7

∠QSR = 42x+8

We need to find the measure of angles.

We can use the property of linear pair. ATQ,

13x+7 + 42x+8 = 180 (Linear pair)

Taking like terms,

13x+42x = 180 - 7-8

55x = 165

x = 3

So,

∠PSQ = 13x+7 = 13(3) + 7 = 46°

∠QSR = 42x+8 = 42(3) + 8 = 134°

Hence, this is the required solution.

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Three people share half a pizza evenly. What fractional part of the original pizza does each one get?

beks73 [17]

Answer:

The fractional part of the original pizza is $\frac{1}{6}$

Step-by-step explanation:

Let

x-----> the original pizza (complete pizza)

we know that

Half a pizza represent ------> $\frac{x}{2}$

Divide half a pizza by three people

$(\frac{x}{2})/3=\frac{x}{6}$

therefore

The fractional part of the original pizza is $\frac{1}{6}$

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3 years ago

So far this season, Shawn has averaged 5 out of 11 free throws per game. Based on his previous performance, how many free throws

olganol [36]

The answer is 10,I think

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3 years ago

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A carpenter cut a board that was 10 feet long into two pieces. The longer piece is 2 feet longer than three times the length of

velikii [3]

Answer:

shorter piece: 2 feet

longer piece: 8 feet

Step-by-step explanation:

let the shorter piece be x

then the longer piece will be 3x + 2

<u>if they join together</u>:

3x + 2 + x = 10
4x + 2 = 10
4x = 10 -2
4x = 8
x = 2

<u>Longer piece</u>:

3x + 2
3(2)+2
8 feet

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2 years ago

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Simplify the following <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%20%5Cfrac%7B1%7D%7Bx%7D%20%20%2B%201%20%7D%20%7B%20%5Cfrac%2

Anon25 [30]

Good evening, Riley!

Used properties:

$\star~\boxed{\mathsf{a = \dfrac{ax}{x}, \ \ x\neq 0}}\\ \\ \\ \star~\boxed{\mathsf{\dfrac{\frac{a}{b}}{\frac{c}{d}} = \dfrac{ad}{bc}}}$

Now, note that:

$\mathsf{1 = \dfrac{x}{x},\ x\neq 0}$

So:

$\mathsf{\dfrac{\frac 1 x + \frac x x }{\frac 1 x} = \dfrac{\frac{x+1}{x}}{\frac 1 x}}=} \mathsf{\dfrac{x}{1}\dfrac{x+1}{x} = \boxed{x + 1}}$

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3 years ago

Victor went for 1 run lats week . it was 3.5 km long . terrell went for 3 runs last week . each run was 1,250m long . wich perso

valina [46]

1 km = 1,000m
Victor: 3.5 km = 3,500m
Terrel: 1,250m *3 = 3,750m

Terrel ran a greater total distance

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3 years ago

Find the unknown angle measure by solving for the given variable.Supplementary angles​

Find the unknown angle measure by solving for the given variable.Supplementary angles