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4 years ago

Find the value of x

Mathematics

1 answer:

Eva8 [605]4 years ago

8 0

The larger right triangle with hypotenuse x + 5 and short leg x + 2 is similar to the smaller right triangle with hypotenuse x + 2 and short leg x.

Because of this similarity, we have

(x + 5)/(x + 2) = (x + 2)/x

Solve for x:

x(x + 5) = (x + 2)^2

x^2 + 5x = x^2 + 4x + 4

x = 4

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What numbers are a distance of 2/3 unit from 1/2 on a number line? Select the locations on the number line to plot the points.

IRISSAK [1]

Answer:

- 0.167 < 0.5 ≤ 1.167

means 1/2 is -0.167 less

and 1/2 is equal to 1.167 when 2/3 is set to distance each way.

Step-by-step explanation:

we can evaluate what 2/3 equals by equating the number to decimal

0.33 = 1/3 so 0.667 = 2/3

We then just subtract and add to 1/2

0.5 + 0.667 = 1..167

0.5 - 0.667 = -0.167

4 0

3 years ago

If you intend to borrow 20 percent of the $174,500 you need to start a business, how much

kenny6666 [7]

If you are borrowing 20%, then you have 80%

Multiply the amount needed for the business by 80%:

174500 x 0.80 = 139,600

You are investing $139,600

5 0

3 years ago

Write an inequality to represent the graph.

Goshia [24]

Answer:

$y \leq -\frac{3}{4}x+2$

y is less than or equal to negative three fourths times x plus 2

Step-by-step explanation:

step 1

Find the equation of the solid line

we have the coordinates (0,2) and (4,-1)

Find the slope m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-1-2}{4-0}$

$m=\frac{-3}{4}$

$m=-\frac{3}{4}$

<em>Find the equation of the line in slope intercept form</em>

$y=mx=b$

where

m is the slope

b is the y-intercept (value of y when the value of x is equal to zero)

we have

$m=-\frac{3}{4}$

$b=2$ ---> is given

substitute

$y=-\frac{3}{4}x+2$

Remember that

The shading area is below the line

therefore

The inequality is

$y \leq -\frac{3}{4}x+2$

y is less than or equal to negative three fourths times x plus 2

7 0

3 years ago

How many times can 87 go into 392

stepan [7]

Just divide 392/87 and you get 4.505

4 0

3 years ago

Read 2 more answers

Cuanto es 28 dividido entre 78976

VashaNatasha [74]

Answer:

.00035453808

Step-by-step explanation

6 0

3 years ago

Find the value of x​

Find the value of x