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
ss7ja [257]
3 years ago
8

What is the value of x? enter your answer in the box. units triangle a p r with line segment c d parallel to segment a p with c

between a and r and d between p and r. a c equals 10. c r equals x. p d equals 15. d r equals 42?

Mathematics
2 answers:
Natasha2012 [34]3 years ago
7 0

Answer:

The answer is 28

Step-by-step explanation:

15 divided by 10 is 1.5,

42 divided by 1.5 equals 28,

hence the answer is 28.

galben [10]3 years ago
5 0

Answer: x = 28 unit

Step-by-step explanation:

Here, In triangle APR,

CD ║ AP,

Such that, C ∈ AR and D ∈ PR,

Also, AC = 10 unit, CR = x unit, PD = 15 unit and DR = 42 unit,

Since, CD ║ AP,

Thus, by the alternative interior angle theorem,

\angle APR\cong \angle CDR

\angle PAR\cong \angle DCR

Thus, By AA similarity postulate,

\triangle APR\sim \triangle CDR

Since, the corresponding sides of the similar triangle are in same proportion,

\implies \frac{AR}{CR}=\frac{PR}{DR}

\implies \frac{AC+CR}{CR}=\frac{PD+DR}{DR}

\implies \frac{10+x}{x}=\frac{15+42}{42}

\implies 420 + 42 x = 15 x + 42 x

\implies 420 = 57 x - 42 x

\implies 420 = 15 x\implies 28 = x

Hence, the value of x = 28.

You might be interested in
How is multiplication using partial products different from multiplication using regrouping?
klio [65]
Partial products is breaking down every number in multiplication and adding them. Regrouping is grouping number them adding them.They are alike because they both involve breaking down the numbers and adding them.  They are different because one is taking all the numbers broken down, while the other is just a couple of the number.
5 0
3 years ago
Read 2 more answers
You put a fence around the dog pen and fill it with gravel. The fence costs $1.75 per foot. One bag of gravel covers 8 square fe
jek_recluse [69]

Answer: Ok so you do 8(1.75+1.50) and then times it by four since it’s a dog fence,I did this on calculator+ so that should be a good answer,the answer is 104

Step-by-step explanation:

7 0
2 years ago
PLEASE ANSWER ASAP I NEED HELP. <br> IT WILL BE MUCH APPRECIATED<br> find the product (x+4)(x-3)
iragen [17]

Answer:

Work shown below!

Step-by-step explanation:

(x + 4)(x - 3) = x^{2} -3x+4x-12=x^{2} +x-12

8 0
3 years ago
Read 2 more answers
Follow nikespear37 tik tok
hjlf

Answer:

no >:)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the deference between
maxonik [38]

Answer:

$5520

Step-by-step explanation:

Given data

Principal=  $24000

Rate=10%

time= 2 years

Firstly, the compound interest is given as

A=P(1+r)^t

A=24000(1+0.1)^2

A=24000(1.1)^2

A=24000*1.21

A=$29040

The simple interest is given as

A=P(1+rt)

A=24000(1+0.1*2)

A=24000(1.2)^2

A=24000*1.44

A=$34560

Hence the difference is

=34560-29040

=$5520

8 0
3 years ago
Other questions:
  • 5^-4•5^4•5^0 simplified expression
    8·1 answer
  • Suppose that you have 10 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards with replaceme
    11·1 answer
  • Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options.
    6·2 answers
  • Which of the following best describes the relationship between ABCD EFGH?
    11·1 answer
  • 3/4 divides by 1/7 =
    9·2 answers
  • Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using
    6·1 answer
  • Determine if the given relation is also a function.
    5·2 answers
  • Plzzzzzzzzzzzzzzzzzzzzzz
    7·1 answer
  • What is the slope and the y intercept of the equation -5x+3y=15
    15·1 answer
  • A square pool is surrounded by a paved area that is 2 metres wide. If the area of the paving is 72m2, what is the length of the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!