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2 years ago

Use the figure above to solve for x

Mathematics

1 answer:

Fiesta28 [93]2 years ago

6 0

Answer:

x is equal to 7

Step-by-step explanation:

Because the two horizontal lines are parallel, we know that the angles at which they intersect the diagonal line will be identical.

We also know that on either side of the diagonal line, the sum of the angles between that and either of the horizontal lines will be 180.

In short, we know that the two values given have a sum of 180. With that we can quickly solve for x:

(x + 67) + (x + 127) = 180

2x + 194 = 180

2x = -14

x = 7

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Phantasy [73]

1. 50%
2. 25%
3. 60%
Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y
P is 10%, X is 150, so the equation is 10% * 150 = Y
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
Do the math: 0.10 * 150 = 15
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So 10% of 150 is 15
Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

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3 years ago

What is the volume of this rectangular prism 7/5 CM by 5 cm and 7/2 cm

Step2247 [10]

Answer:

$V=\frac{49}{2}\ cm^3$

$V=24.5\ cm^3$

Step-by-step explanation:

we know that

The volume of the rectangular prism is

$V=LWH$

where

L is the length

W is the width

H is the height

substitute the given values in the formula

$V=(\frac{7}{5})(5)(\frac{7}{2})$

$V=\frac{245}{10}\ cm^3$

Simplify

$V=\frac{49}{2}\ cm^3$ ---> fraction form

$V=24.5\ cm^3$ ----> decimal form

7 0

3 years ago

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then