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3 years ago

Find the value of x in the figure below 13x+8 2x+7

Mathematics

1 answer:

liberstina [14]3 years ago

7 0

Step-by-step explanation:

step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)

step 2. 15x + 15 = 180 (like terms)

step 3. 15x = 165 (subtract 15 from each side)

step 4. x = 11. (divide both sides by 15)

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Solve for x, the triangles are similar

elixir [45]

Answer:

x = 12

Step-by-step explanation:

Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so

$\frac{ES}{EG}$ = $\frac{ER}{EF}$ , substitute values

$\frac{45}{12x-3}$ = $\frac{55}{143}$ ( cross- multiply )

55(12x - 3) = 6435 ( divide both sides by 55 )

12x - 3 = 117 ( add 3 to both sides )

12x = 120 ( divide both sides by 12 )

x = 10

5 0

3 years ago

The ratio of men to women working for a company is

sleet_krkn [62]

There are 11 employees for each 7 women.
.. (11/7)*147 = 231 . . . . total number of employees

4 0

3 years ago

Use the quadratic formula to solve. Round to the nearest tenth if necessary.<br> 2x^2 -3x -7 = 0

abruzzese [7]

The quadratic formula is:

$\frac{-b + \sqrt{b^2 - 4ac} }{2a}$ and $\frac{-b - \sqrt{b^2 - 4ac} }{2a}$

In this case, a = 2, b = -3, and c = -7

So, we can plug in the numbers to get:

$\frac{-(-3) + \sqrt{(-3)^2 - 4(2)(-7)} }{2(2)}$ and $\frac{-(-3) - \sqrt{(-3)^2 - 4(2)(-7)} }{2(2)}$

Simplifying, we get:

$\frac{3 + \sqrt{65} }{4}$ and $\frac{3 - \sqrt{65} }{4}$

You need to use a calculator to find what these would be in decimal form. The answer, rounded to the nearest tenth, is: x = 2.8, x = -1.3

8 0

2 years ago

Select steps that could be used to solve the equation 1 + 3x = -x + 4.

Tema [17]

For this case we have the following equation:

$1 + 3x = -x + 4$

We must solve the equation by following the steps below:

We subtract 1 from both sides of the equation:

$3x = -x + 4-1$

On the right side of the equation we have that different signs are subtracted and the sign of the major is placed:

$3x = -x + 3$

We add x to both sides of the equation:

$3x + x = 3\\4x = 3$

We divide between 4 on both sides of the equation:

$x = \frac {3} {4}$

Thus, the correct option is option B

Answer:

$x = \frac {3} {4}$

Option B

6 0

3 years ago

Read 2 more answers

6+2[x+8]+3x+11+x help plzzzzz

Alex787 [66]

6+2(x+8)+3x+11+x
First you have to expand the brackets:
6+2x+16+3x+11+x
Now you group like terms (terms with the same or no variable):
2x+3x+x+11+16+6
And finally, combine like terms:
6x+33

Hope this helps :)

4 0

3 years ago