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
stira [4]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0

Answer:

x = 12.8

Step-by-step explanation:

To find the value of x, set up a proportion between the two similar triangles. Then solve for x.

\frac{32}{32+x} = \frac{40}{56}

Solve by cross multiplying and isolating x.

32(56) = 40(32+x)

1792 = 1280 + 40x

512 = 40x

12.8 = x

You might be interested in
Multiplying mixed numbers and whole numbers 1 1/2 x 2/1 =
Nezavi [6.7K]

Answer: 3

Step-by-step explanation:

1. Convert the mixed number to fraction:

- Multiply the denominator of the fraction by the whole number.

- Add the product obtained and the numerator of the fraction.

- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.

Then:

1\ 1/2=\frac{(1)(2)+1}{2}=\frac{3}{2}

2. Multiply the numerators.

3. Multiply the denominator.

4. Reduce the fraction.

Then:

(\frac{3}{2})(\frac{2}{1})=\frac{6}{2}=3

5 0
3 years ago
An investor puts $2,500 into a life insurance policy that pays 10% simple annual interest. If no additional investment is made i
Novosadov [1.4K]

Answer:

$3750

Step-by-step explanation:

Amount = principal + interest

Simple interest = Principal *Rate * time/100

Simple interest = 2500*10*5/100

Simple interest  = 25*50

Simple interest = $1250

Amount = $2500+$1250

Amount after 5 years is $3750

4 0
3 years ago
Write an equation that is perpendicular to y= 1/2x+5 and passes through (4,8)
goblinko [34]

Answer:

y = -2x + 16.

Step-by-step explanation:

The slope of the perpendicular line = -1 / slope of the given line

= -1 / 1/2 = -2.

Using the point slope form of the equation of a straight line:

y - y1 = m (x - x1)

y - 8 = -2(x - 4)

y - 8 = -2x + 8

y = -2x + 16  is the required equation.

4 0
4 years ago
She will pay an extra?
swat32

She will pay $30.80

22.40/80=0.28

80+30=110

0.28*110=30.80

3 0
3 years ago
Read 2 more answers
At Acme Inc., there are 3 more than twice as many salespeople as inventors. If the whole company has 27 employees,
Olenka [21]

Answer:

There are 8 inventors.

Step-by-step explanation:

  • Let 's' be the salesperson
  • Let 'i' be the inventors

Given that there are 3 more than twice as many salespeople as inventors.

  • i.e s = 3+2i

Also given that the whole company has 27 employees.

i.e.

s + i = 27

substituting s = 3+2i

3 + 2i + i= 27

3 + 3i = 27

3i = 27 - 3

3i = 24

divide both sides by 3

i = 8

  • Thus, there are 8 inventors.

<u>VERIFICATION</u>

As the total number of employees is 27.

so the salespeople will be:

s = 3+2i

  = 3 + 2(8)

  = 3 + 16

  = 19

Thus, the total employees are verified as:

s + i = 27

19 + 8 = 27

27 = 27

4 0
3 years ago
Other questions:
  • 8y +12 - y =61
    10·1 answer
  • While playing a video game a player collected 18 of the 45 available coins right and simplify a fraction to represent the situat
    14·1 answer
  • A box measures 6inches by 2inches by 3 inches find the volume of the box in cubic feet enter as a fraction ?
    14·1 answer
  • Helpppp Plsssss Asap!! Show your work thanx!! ​
    10·1 answer
  • In what different ways can 45 be written as the product of two positive integers?
    14·2 answers
  • The question is: "Without actually graphing, describe how the graph of y = ( -2^(x+17) ) - 4.3 is related to the graph of y = 2^
    9·1 answer
  • Wendy needs to purchase 30 vases, which cost $3 each, and flowers for the vases, which cost $2 each. She has $390 to spend on he
    11·1 answer
  • 2. A certain TV can be purchased from the manufacturer for $160. A certain online retailer has a standard markup of 30%, and a c
    13·1 answer
  • What is -2x-5=4????
    7·2 answers
  • Help worth a lot of pounts
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!