1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sashaice [31]
3 years ago
15

If triangle VWZ is congruent to triangle XWY, find the length of YX.

Mathematics
1 answer:
valkas [14]3 years ago
8 0

Answer:

Measure of side YX is 22 units.

Step-by-step explanation:

Since ΔVWZ ~ ΔXWY, their corresponding sides will be in the same ratio.

\frac{VW}{XW}=\frac{VZ}{XY}=\frac{WZ}{WY}

By substituting the values given in the picture in the ratio,

\frac{45}{30}=\frac{(3x-9)}{(x+8)}=\frac{36}{24}

\frac{(3x-9)}{(x+8)}=\frac{3}{2}

By cross multiplication,

2(3x - 9) = 3(x + 8)

6x - 18 = 3x + 24

(6x -18) + 18 = 3x + 24 + 18

6x - 3x = (3x + 42) - 3x

6x - 3x = 42

3x = 42

x = \frac{42}{3}

x = 14

m(YX) = x + 8

          = 14 + 8

          = 22

Therefore, measure of side YX is 22 units.

You might be interested in
A right rectangular prism is packed with cubes of side length fraction 1 over 5 inch. If the prism is packed with 15 cubes along
Ann [662]

Given:

A right rectangular prism is packed with cubes of side length \dfrac{1}{5} inch.

Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.

To find:

The volume of the prism

Solution:

Side length of each cube =\dfrac{1}{5} inch.

15 cubes along the length, so length of prism is

l=15\times \dfrac{1}{5}=3\text{ inches}

6 cubes along the width, so width of prism is

b=6\times \dfrac{1}{5}=\dfrac{6}{5}\text{ inches}

5 cubes along the height, so height of prism is

h=5\times \dfrac{1}{5}=1\text{ inch}

Now,

Volume of rectangular prism is

V=l\times b\times h

V=3\times \dfrac{6}{5}\times 1

V=\dfrac{18}{5}

V=\dfrac{3\times 5+3}{5}

V=3\dfrac{3}{5}\text{ cubic inches}

Therefore, the correct option is B.

7 0
3 years ago
What fraction is 8 m of 20m ?
KatRina [158]

Answer:

2/5

Step-by-step explanation:

Just keep dividing top and bottom by the same number/letter to cancel down.

\frac{8m}{20m} divide both by m to make \frac{8}{20}

\frac{8}{20} divide both by 4 to make \frac{2}{5}

\frac{2}{5} is in simplest terms

8 0
2 years ago
Read 2 more answers
what is the slope of the line that passes through the points (3,8) and (-2,13)? (write answer in simplest form)
Elden [556K]
-1



Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
7 0
3 years ago
Read 2 more answers
14. The property tax on a medical center is 1 mill or no of a cent ($0.001)
mezya [45]

Answer:

a) $235.65

b) $57,499.58

Step-by-step explanation:

Tax rate is 1 mill or $0.001 on every $1 of appraised value. This means the tax rate is:

Tax rate = $0.001 per $1 = \frac{0.001}{1} \times 100\%=0.1\%

Part a)

Appraised value of medical center = $ 235,654

Tax rate = 0.1%

Tax Amount due = 0.1% of $ 235,65 = \frac{0.1}{100} \times 235,654= \$ 235.654

Thus, the tax due for 1 mill is $235.65 rounded to nearest cent.

Part b)

New Tax rate = 244 mills = \$ \frac{244}{1000} =$0.244

Tax rate is 1 mill or $0.001 on every $1 of appraised value. This means the tax rate is:

Tax rate = $0.244 per $1 = \frac{0.244}{1} \times 100\%=24.4\%

Tax Amount due = 24.4% of $ 235,65 = \frac{24.4}{100} \times 235,654= \$ 57499.576

Thus, the tax due for 244 mills is $57,499.58 rounded to nearest cent.

5 0
3 years ago
In the equation below a is a number between 0 and 1 8 x a = b which statement about the value of b is always true
Kamila [148]

Answer:

See Explanation

Step-by-step explanation:

Given

0 \le a \le 1

8*a =b

Required

Determine the true statement about b

The question is incomplete as options are not given. However, a general explanation is as follows:

Rewrite 8*a =b

b = 8 * a

When a = 0

b = 8 * 0 = 0

When a = 1

b = 8 * 1 = 8

This means that:

For 0 \le a \le 1

Then 0 \le b \le 8

<em>This means that: b is a number between 0 and 8</em>

3 0
3 years ago
Other questions:
  • A company sells cereal in two different -sized boxes.The smaller box has the dimensions of 12-inch,2-inch and 7 3/4 i.The height
    9·2 answers
  • Jonathan looked at the picture frame below and computed the following sum: 8 + (-4). What value did he find?
    14·1 answer
  • Function Equations
    15·1 answer
  • If the 180 food calories found in a granola bar come entirely from p grams of protein, f grams of fat, and c grams of carbohydra
    10·2 answers
  • Given the point (3, 4), which of the following shows that sinxcscx = 1?
    7·2 answers
  • Riley is training to run in a 5-kilometer road race. She would like to
    11·1 answer
  • Goldberg's sleigh currently runs at 203mph, but he needs it to reach 400mph with all the packages he has to deliver.
    13·2 answers
  • Sara spent $27 on three volleyballs. How much did each volleyball cost?
    8·2 answers
  • I don’t understand linear equations
    9·2 answers
  • Do the questions that are circled also GCF stands for greatest common factor
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!