All categories

3 years ago

What is the value of x?

Mathematics

1 answer:

satela [25.4K]3 years ago

5 0

Answer:

x = 4

Step-by-step explanation:

By property of intersecting secants outside of circle.

$PC \times PA = PB \times PD \\ 10(2x + 10) = 9(2x + 3 + 9) \\ 20x + 100 = 18x + 108 \\ 20x - 18x = 108 - 100 \\ 2x = 8 \\ x = \frac{8}{2} \\ \huge \red{ \boxed{ x = 4}}$

You might be interested in

Danielle earns $36.80 for 4 hours of yardwork. MacKenzie earns $50.40 for 6 hours of yardwork.Who earns more money per hour? How

Fantom [35]

Answer:

Danielle earns $1.20 more than Mackenzie (per hour)

Step-by-step explanation:

To find out how much money per hour each person earns, you would divide the earinings by the number of hours;

Danielle: $36.80/4 = $9.20 per hour

MackKenzie: $50.40/6 = $8.40 per hour

To find out how much extra Danielle earns, you would subtract 8.40 from 9.20;

9.40 - 8.20 = $1.20

Thus, Danielle earns $1.20 more than Mackenzie per hour.

6 0

3 years ago

Type a digit that makes this statement true.<br> 5,091,71<br> is divisible by 8.<br> Submit

worty [1.4K]

The right answer is "2"
the divisiveness rule says that the number which it's last two digit is divisible to 4 and 2 is divisible to 8 so if you add another digit you have to make it divisible to 4 and 2 which in this case is number "2"

8 0

2 years ago

Read 2 more answers

Please answer this for me and show me the work.

Gala2k [10]

Ok. No problem. I will answer anything u got

4 0

3 years ago

Question 4 (Essay Worth 10 points)

Over [174]

The 3-D shape would be created if the figure was rotated around the x-axis is a cone

<h3>What are 3-D shapes?</h3>

3-D shapes (short form of 3-Dimensional shapes) are shapes that have width, length and height

<h3>How to determine the 3-D shape?</h3>

The coordinates are given as:

(0, 0), (-3, -4) and (-3, 0)

When the above coordinates are plotted on a coordinate plane and the points are connected;

We can see that the points form a right-triangle

See attachment for the shape

As a general rule

Rotating a right-triangle across the x-axis would form a cone

Hence, the 3-D shape would be created if the figure was rotated around the x-axis is a cone