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3 years ago

What is the measure of <x

Mathematics

1 answer:

liraira [26]3 years ago

7 0

Answer:

x = 24°

General Formulas and Concepts:

Pre-Alg

Equality Properties

Geometry

Definition of a Line: A line is 180°

Step-by-step explanation:

Step 1: Set up equation

x + 156 = 180

Step 2: Solve for x

Subtract 156 on both sides: x = 24

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Solve both by substitution method (algebra 2) and show work please -2x-7y=22 -7x-5y=-1

Alex17521 [72]

$\bf \begin{cases}
-2x-7y=22\\
-7x-5y=-1
\end{cases}\qquad \textit{let's solve the \underline{second one} for "x"}
\\\\\\
-7x-5y=-1\implies -7x=5y-1\implies x=\cfrac{5y-1}{-7}
\\\\\\
\boxed{x=\cfrac{1-5y}{7}}\impliedby \textit{now, let's substitute it in the \underline{first one}}
\\\\\\$

$\bf -2\left( \frac{1-5y}{7} \right)-7y=22\implies \cfrac{10y-2}{7}-7y=22
\\\\\\
\textit{now, let's multiply both sides by 7, to toss the denominator}
\\\\\\
7\left( \cfrac{10y-2}{7}-7y \right)=7(22)\implies 10y-2-49y=154
\\\\\\
-39y=156\implies y=\cfrac{154}{-39}\implies \boxed{y=-4}
\\\\\\
\textit{now, let's use that in the \underline{first one}}
\\\\\\
-2x-7(-4)=22\implies -2x+28=22\implies 6=2x\implies \cfrac{6}{2}=x
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\boxed{3=x}$

4 0

3 years ago

Find the exact solution of x 3x^2+7=28 A.+√7 B.7 C.+7 D.-7

yulyashka [42]

Answer:

x = ± $\sqrt{7}$

Step-by-step explanation:

3x² + 7 = 28 ( subtract 7 from both sides )

3x² = 21 ( divide both sides by 3 )

x² = 7 ( take square root of both sides )

x = ± $\sqrt{7}$

that is x = - $\sqrt{7}$ , x = $\sqrt{7}$

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2 years ago

Read 2 more answers

Scott Samuels had pharmaceutical sales of $42,500 last month. If his commission rate is 9%, find the amount of his commission.

Slav-nsk [51]

42,500x0.09 should get you your commission

4 0

3 years ago

Somebody can help me plz? It seems easy for y’all but not for me haha

Naddika [18.5K]

Answer:

I'll say 25 but not too sure!

3 0

3 years ago

The plans for a rectangular deck call for the width to be 10 feet less than the length. Sam wants the deck to have an overall pe

sergeinik [125]

Length of deck is 40 feet

<h3>Solution:</h3>

Sam wants the deck to have an overall perimeter of 60 feet

Perimeter of rectangular deck = 60 feet

Let "L" be the length of rectangle and "W" be the width of rectangle

Given that plans for a rectangular deck call for the width to be 10 feet less than the length

Width = length - 10

W = L - 10 ------ eqn 1

The perimeter of rectangle is given as:

perimeter of rectangle = 2(length + width)

Substituting the known values we get,

60 = 2(L + L - 10)

60 = 2(2L - 10)

60 = 4L - 20

80 = 4L

L = 20

Thus the length of deck is 20 feet

7 0

3 years ago

What is the measure of <x​

What is the measure of <x