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
nikdorinn [45]
3 years ago
12

The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If = 15, then =

Mathematics
1 answer:
Artemon [7]3 years ago
4 0

Answer:

Ratio 3:1 or \frac{3}{1}. \frac{QUAD}{STOP}

AD = 15

OP = x

\frac{15}{x} = \frac{3}{1}

Cross multiply

15 × 1 = 3 · x

15 = 3x

\frac{15}{3} = x

5 = x

If AD = 15, then OP = 5

OP = 10

AD = x

\frac{x}{10} =\frac{3}{1}

Cross multiply

1 · x = 3 × 10

x = 30

If OP = 10, then AD = 30

You might be interested in
7,300 deposit earning 3.3% compounded monthly after 1 year. What will the balance after 1 year will be?
inna [77]

Answer:

$7,544.58

Step-by-step explanation:

We will use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 3.3% into its decimal form:

3.3% -> \frac{3.3}{100} -> 0.033

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

A=7,300(1+\frac{0.033}{12})^{12(1)}

A=7,544.58

The balance after 1 year will be $7,544.58

7 0
3 years ago
suppose a charity received a donation of $22.8 million. if this represents 58% of the charity's donated fund, what is the total
Mrac [35]
The total amount is "x", so, if 22.8 is 58%, "x" is the 100%,

\bf \begin{array}{ccllll}&#10;amount&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;22.8&58\\&#10;x&100&#10;\end{array}\implies \cfrac{22.8}{x}=\cfrac{58}{100}\implies \cfrac{22.8\cdot 100}{58}=x
6 0
3 years ago
3+ FREE)vvfffffddhfbfbbfbfbfjffh
Deffense [45]

Answer:

freeeeeeeee ahhh

Step-by-step explanation:

:)

7 0
2 years ago
a child should no longer play in the kid zone area when they reach 4'4" tall joe is 54" tall is he allowed to play in the kid zo
Andreyy89

Answer: No.

Step-by-step explanation: Joe is 4'6" tall. Convert 54" to feet by dividing by 12. 54/12=4.5. Half of a foot is 6 inches.

6 0
3 years ago
The set of natural numbers x that satisfy x + 8 = 5
Maksim231197 [3]

Answer:

The set of natural numbers can be denoted as: {} (null set) because no natural number will satisfy the given equation.

Step-by-step explanation:

Given equation:

x+8=5

To find the set of natural numbers that satisfies the above equation.

Solution:

In order to find the set of solutions for the equation, we will solve it for x

We have:

x+8=5

Subtracting both sides by 8.

x+8-8=5-8

∴ x=-3

Thus, we get only one solution for x that satisfies the given equation but it is not a natural number. -3 is an integer.

Set of natural numbers {1,2,3,4,5,6........}

Thus, we can say the set of natural numbers that satisfies the equation is a null set {}.

8 0
3 years ago
Other questions:
  • Pls helpASAP!!!<br> 3x+ 12 = 2(8+ 4x)
    9·2 answers
  • Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.
    5·1 answer
  • How long does it take sound with an average speed of 330 m/s to travel 2475 meters?
    12·1 answer
  • (-6)(-7)= _____ what" please ASAP"
    9·2 answers
  • -V2.25<br> Find the square root
    8·1 answer
  • Rylee shopped at a clothing store where she spent $36.50 plus 8% tax
    6·1 answer
  • A bottlenose dolphin is 10 feet below sea level. Then it begins to dive at a rate of 9 feet per second. What is the equation of
    14·2 answers
  • What is an equation of the line that passes through the points (-1.6) and (-1,-5)?
    13·2 answers
  • Anton bought a new sofa that was originally $700 and used a coupon for 30%.
    7·1 answer
  • Which fraction is between 2/3 and 6/7
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!