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Grace [21]
2 years ago
9

Solve for x. Round your answer to the nearest tenth if necessary. X=

Mathematics
2 answers:
nevsk [136]2 years ago
6 0

Answer:

x ≈ 7.2

Step-by-step explanation:

Δ MNO and Δ MKL are similar, so the corresponding sides are in proportion, that is

\frac{MN}{MK} = \frac{MO}{ML} , substitute values

\frac{13.1}{13.1+10.9} = \frac{8.7}{8.7 +x}

\frac{13.1}{24} = \frac{8.7}{8.7+x} ( cross- multiply )

13.1(8.7 + x) = 208.8 ← distribute left side

113.97 + 13.1x = 208.8 ( subtract 113.97 from both sides )

13.1x = 94.83 ( divide both sides by 13.1 )

x = \frac{94.83}{13.1} ≈ 7.2 ( to the nearest tenth )

8090 [49]2 years ago
4 0

Answer:

7.2

Step-by-step explanation:

Since the angle is equal, 24/(x+8.7)=13.1/8.7. x=7.2

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2x > -6 and x – 4 ≤ 3
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x > -3


x - 4 ≤ 3

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2 years ago
Solve the system with elimination.3x + y = 9x + 2y = 3
NikAS [45]

In order to solve by elimination, let's multiply the first equation by -2. This way, when we add the equations, the variable y will be canceled out:

\begin{cases}-6x-2y=-18 \\ x+2y={3}\end{cases}

Now, adding the equations, we have:

\begin{gathered} -6x-2y+x+2y=-18+3\\ \\ -5x=-15\\ \\ x=\frac{-15}{-5}\\ \\ x=3 \end{gathered}

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5 0
1 year ago
Convert into slope intercept form?
Alexeev081 [22]
<h3>Answer:</h3>

y = 2x + 5

<h3>Step-by-step explanation:</h3>

<u>Definitions</u>:

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m = slope

b = y intercept

Step 1: Since the slope is given plug it into y = mx

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Step 2: Plug a points' x and y into their corresponding spots to solve for b

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Plug both your slope in and your y intercept into y = mx + b

y = 2x + 5

6 0
3 years ago
F Mary deposits $275 in principal at an interest rate of 3.2 percent, how much interest will she earn in one
My name is Ann [436]
Interest is 3.20 per 100
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answer A $8.80
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3 years ago
What is the vertex of the function f(x) = 12 + 3x + ?
goldfiish [28.3K]

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(2,1)

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3 years ago
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