All categories

1 year ago

In the figure, line n intersects lines r and s. Line r is parallel to line s. What is the value of x?

Mathematics

1 answer:

ANTONII [103]1 year ago

4 0

According to the statement lines, r and s are parallel, then when a line intercepts both lines the angles formed are going to be the same.

Then x is at the same position as 156°.

$x=156$

You might be interested in

The corporate team-building event will cost $14 if it has 7 attendees. If there are 9

kobusy [5.1K]

Answer: for 9 attendees it would cost $18

Step-by-step explanation: First you have to find the unit rate. So for every 7 attendees it costs $14, divide them both by the GCF which is 7. 14÷7=2

7÷7=1

So for every 1 attendee it is $2.

Now to figure out how much it would cost for 9 attendees, figure out what you have to do to 1 to get 9. Multiply it by 9.

And whatever you do to one number you have to do for the other. So $2 • 9 = $18

So for every 9 attendees it costs $18.

5 0

3 years ago

The selling price for houses in a neighborhood in West Richland, WA have an approximately normal distribution with a mean sellin

Liula [17]

The probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753

First, we need to find the z-score and this is expressed according to the formula;

$z=\dfrac{x-\mu}{\sigma}$

x is the sample space

$\mu$ is the mean value

$\sigma$ is the standard deviation

Given the following parameters

Mean = $275,000

Standard deviation = $10,500

If the true mean is $273,000, then;

$z=\dfrac{273,000-275000}{10,500} \\z = \frac{-2000}{10500}\\z= -0.1905$

If the true mean is $277,000

$z=\dfrac{277,000-275000}{10,500} \\z = \frac{2000}{10500}\\z= 0.1905$

This means that the z-score is between -0.1095 and 0.1095

Pr( -0.1095 ≤ z ≤ 0.1095)

According to the z table, the probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753

Learn more here: brainly.com/question/17436641

3 0

3 years ago

A different camera is selling for $7.50 off the regular price. It was marked down 15%. A student used the equation:

Debora [2.8K]

Answer:

The original price is $50. The student's mistake in the equation is that he should have done 7.5/0.15

The student should not have multiplied, instead divided. He also didn't put 15 in a decimal form, which would have messed the whole equation up.

7 0

3 years ago

Read 2 more answers

What is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final

coldgirl [10]

Answer:

$59.19 ft^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=7.2\ ft$

$\pi =3.14$

substitute

$A=(3.14)(7.2)^{2}$

$A=162.78\ ft^2$

step 2

we know that

The area of a circle subtends a central angle of 2π radians

using proportion

Find out the area of a sector with a central angle of 8 π/11 radians

$\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2$

7 0

4 years ago

Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.

Yuki888 [10]

Answer:

true for all x

Step-by-step explanation:

3x - 4 ≤ 2

Add 4 to each side

3x - 4+4 ≤ 2+4

3x<6

Divide by 3

3x/3 <6/3

x<2

2x + 11 ≥ -1

Subtract 11 from each side

2x + 11-11 ≥ -1-11

2x≥ -12

Divide by 2

2x/2 ≥ -12/2

x ≥ -6

x<2 or x ≥ -6

true for all x

6 0

3 years ago