x = 25

Step-by-step explanation:

Those 2 angles together form a straight line which is equal to 180°. So you can set up an equation:

3x + 18 = 93

-18 -18

3x = 75

Divide both sides by 3

x = 25

## Related Questions

Which expression is equivalent to 6(2x+5y)

6(2x + 7y) = 6(2x) + 6(7y) = 12x + 42y
12x+42y is equivalent to 6(2x+5y)

Find three consecutive numbers whose sum is 612

Step-by-step explanation:

Consecutive numbers are numbers that are right next to each other. An example would be 1,2,3 or 67,68,69. Since this problem is asking for three consecutive numbers where the sum is equal to 612, we need to find the numbers that will be greater than 200.

Since we know that the sum is 612, we know that the numbers will be in the 2 hundreds. All we need to do is find 3 numbers that equal to 12.

3+4+5=12

Now that we have the three numbers, let's add 200.

203+204+205=612

Therefore, the three numbers are 203, 204, 205.

Step-by-step explanation:

Let's say the number is x.

So the three consecutive numbers are: x, x + 1, and x+ 2

3x + 3 = 612

3x = 609

x = 203

Plug in x.

203, 204, and 205

A line passes through the point (2, 7) and has a slope of 4. What is the equation of the line?

y=4x-1

Step-by-step explanation:

Remember the point slope form equation y-y1=m(x-x1) where m is the slope and the given point is (x1,y1)

y-7=4(x-2) . Plug in the numbers for the equation

y-7=4x-8   distributive property

y = 4x-1

y=4x-1 is the equation that passes through (2,7)

Given the following formula solve for y. W=x-y/2 -z

y = 2x + 2W - 2z

Step-by-step explanation:

Add y/2 to both sides of this equation.  We get:

y/2 + W = x - z.

Multiplying all four terms by 2 eliminates the fraction:

y + 2W = 2x - 2z

Subtracting 2W from both sides yields:

y = 2x + 2W - 2z

Write the equation of the given circle. Center (1,-5) Radius of 10

The equation of the circle with the given center and radius is x²-2x+y²+10y-74=0.

### What is a circle equation?

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²

Given that, the center of a circle is (1, -5) and the radius is 10 units.

Now, equation of a circle is

(x-1)²+(y+5)²=10²

x²+1-2x+y²+25+10y=100

x²-2x+y²+10y+26=100

x²-2x+y²+10y-74=0

Therefore, the equation of the circle with the given center and radius is x²-2x+y²+10y-74=0.

#SPJ2

(x-1)^2 + (y+5)^2 =100

### Calculation of the probability:

Since The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of$12.

Here  we need to find out the z score

=

= 1.5

Here we considered normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

So,  the average is less or equal to 78.

Now

Subtract from 1 to get the complement.

So,

P(x>78)=1-0.9332

=0.0668

0.0668

Step-by-step explanation:

Assuming the distribution is normally distributed with a mean of $75, with a standard deviation of$12.

We can find the z-score of 78 using;

Using our normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

This is the area corresponding to the probability that, the average is less or equal to 78.

Subtract from 1 to get the complement.

P(x>78)=1-0.9332=0.0668