Find x so that L is parallel to m

Maslowich

<span>This polygon is composed of a right triangle and <span>a parallelogram.

The area of right angle :
$A_\Delta=\frac{1}{2}\cdot15\cdot8=\frac{1}{2}\cdot120=\boxed{60\ (cm^2)}$

The area of the </span></span><span>parallelogram</span>:
$A_P=15\cdot(13-8)=15\cdot5=\boxed{75\ (cm^2)}$

The area of the polygon is equal: $A=A_\Delta+A_P$

Therefore, the answer is:
$\boxed{\boxed{A=60\ cm^2+75\ cm^2=135\ cm^2}}$

7 0

3 years ago

Read 2 more answers

Expand 3(x+ 2.3) <br> Expand 1/3(9x-12)

Snezhnost [94]

Answer:

3x+6.9 and 3x-4

Step-by-step explanation:

since 3 x x is 3x and the sign in the bracket is addition you place it there then place 3 x 2.3

being 6.9.

1/3 x 9is 9/3 and 3 can multiply both sides to get 3/1 or 3 then bring the minus and 1/3 x 12 is 12/3 3 can multiply both sides to get 4/1 or 4

4 0

3 years ago

A T-shirt is on sale for 20 % off. The sale price is $18 ,What was the original price?Explain.

Pavel [41]

The original price was $22.5.
18 divided by 0.8 is 22.5.
If you double check 22.5 times 0.8, you will get 18, your sales price.

6 0

4 years ago

A triangular prism is 19 centimeters long. It has a triangular face with a height of 14 centimeters. The volume of the prism is

andreyandreev [35.5K]

The base of its triangular face of the triangular prism is found as 17.7 cm.

<h3>What is defined as the triangular prism?</h3>

A polyhedron with two triangular bases as well as three rectangular sides is known as a triangular prism.
It is a three-dimensional shape with three side faces but also two base faces that are connected by the edges.

The formula for the volume of triangular prism is;

Volume = base area x length

The base area of the triangular base.

The area of the triangle = 1/2 base×height

The given values are-

volume = 2,354. 1 cubic centimeters.
length = 19 cm
height = 14 cm.

Thus, volume = base area x length

volume = 1/2 base × height × length

base = 2v/(height × length)

Put the values;

base = 2×2,354.1/(14 × 19)

base = 4708.2/(14 × 19)

base = 17.7 cm

Thus, the base of the triangular prism is found as 17.7 cm.

To know more about the triangular prism, here

brainly.com/question/16128664

#SPJ9

7 0

1 year ago

someone please help :( a sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Ore

Volgvan

Answer:

Oregon:

Median: 467.5

Mean: 451.33

Standard Deviation: 113.6

Washington:

median: 380

Mean: 396.6

Standard deviation: 56.3

Step-by-step explanation:

To calculate the median, we need to organize the price and select the value that is in the middle position.

To calculate the mean, we need to sum all the values and divide them by the number of values

To calculate the standard deviation, we need to square the distances between every price and the mean, sum it all and divide them by the number of values less 1 and finally calculate the square root.

So, for Oregon, the organized values are:

$295, $345, $460, $475, $538, $595

The median is a value between $460 and $475. it is calculated as:

$\frac{460+475}{2}=467.5$

The mean is:

$\frac{295+475+345+595+538+460}{6}=451.33$

The standard deviation is:

$\sqrt{\frac{(295-451.3)^2+(475-451.3)^2+(345-451.3)^2+(595-451.3)^2+(538-451.3)^2+(460-451.3)^2}{6-1}}=113.6$

At the same way, we can calculate the median, mean, and standard deviation for Washington and get:

median: 380

Mean: 396.6

Standard deviation: 56.3

3 0

3 years ago