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
frozen [14]
3 years ago
13

Joshua used two wood beams, PC and QA, to support the roof of a model house. The beams intersect each other to form two similar

triangles QRP and ARC as shown in the figure below. The length of segment PR is 3.4 inches and the length of segment CR is 5.1 inches. The distance between A and C is 4.2 inches
What is the distance between the endpoints of the beams P and Q?
Answer choices
2.02 inches
2.5 inches
2.8 inches
3.4 inches
Mathematics
2 answers:
Sliva [168]3 years ago
7 0
PR : RC = PQ :  AC

so,

PQ  = 2.8 inches

Hope this helps
Fittoniya [83]3 years ago
7 0

Answer: 2.8 inches

Step-by-step explanation:

Given : The beams intersect each other to form two similar triangles ΔQRP and ΔARC .

PR = 3.4 inches

CR = 5.1 inches.

AC = 4.2 inches

To find : PQ

We know that the corresponding sides of two similar triangles are proportional.

i.e. for similar triangles ΔQRP and ΔARC , we have

\Rightarrow \dfrac{PQ}{AC}=\dfrac{PR}{CR}\\\\\Rightarrow\dfrac{PQ}{4.2}=\dfrac{3.4}{5.1}\\\\\Rightarrow\ PQ=4.2\times\dfrac{3.4}{5.1}=2.8\text{ inches}

Hence, the distance between the endpoints of the beams P and Q = 2.8 inches

.

You might be interested in
20% of students drive a car. 9 students are randomly are selected and asked if they drive a car. What is the probability that ex
Andre45 [30]

The probability is low.

20% of 9 is 2. Therefore, the probability is low that 5 out of the 9 students drive cars.

6 0
3 years ago
Pleaseeee I need help ASAP!!!
notsponge [240]

Answer:

6 times.

Explanation:

Since she served 3 salads that contain 2/3 cup of blueberries each, and her measuring cup only holds 1/3 cup, she'll have to measure the blueberries 6 times in total, doing 2 measurements per salad (2 x 1/3 = 2/3). Since 2 x 1/3 cup is 2/3 cup, and there are 3 salads in total (multiply 2 measurements by 3 salads), this means she measures the blueberries 6 times.

8 0
3 years ago
Each pizza = 6 people. what does pizza stamd for?
Liula [17]
How many slices each person gets

3 0
3 years ago
Read 2 more answers
One maid can clean the house in 2 hours. Another maid can do the job in 8 hours. How long will it take them to do the job workin
Aleks04 [339]

Answer:

Option B, 8/5 hr

Step-by-step explanation:

1/2 + 1/8

1*4 / 2*4 + 1/8

4/8 + 1/8

5/8 = 1/t

5t / 5 = 8 / 5

t = 8/5

Answer:  Option B, 8/5 hr

5 0
4 years ago
Read 2 more answers
The amount of medicine in a patient's bloodstream is shown by the function A(h)=600(0.75)^h, where h is the number of hours that
scoundrel [369]

The amount of medicine in the bloodstream decreases by 25% each hour.

<h3>Exponential equation</h3>

The standard exponential equation is expressed as:

y = ab^x

a is the initial amount

b is the rate

If b < 1, hence there is a declince

Given the expoenentia equation A(h)=600(0.75)^h,

b = 1 - r = 0.75

r = 1 - 0.75

r = 0.25

This shows that the amount of medicine in the bloodstream decreases by 25% each hour.

Learn more on exponential equation here: brainly.com/question/12940982

5 0
2 years ago
Other questions:
  • marta took 48 pictures of flowers and 36 pictures of a beautiful scenery she wants to display the pictures so there is the same
    5·1 answer
  • Which of the following is a random sample?
    10·1 answer
  • X^- x - 6 and x^ -5x +6 what are thier common factors
    11·1 answer
  • State what additional information is required in order to know what the triangles are congruent by SSS
    6·1 answer
  • Helllllllllllpppppppppppppppppp
    6·1 answer
  • 3/4 of a right angle, 5/4 of a right angle, 5/3 of a right angle, and 2/3 of a full turn
    11·1 answer
  • The triangles are similar.<br><br><br> What is the value of x?
    8·1 answer
  • Factorise <br> 400x^2-49y^2
    15·2 answers
  • A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the
    8·1 answer
  • PLEASE HELP I NEED THIS QUICK IM SO STUCK.<br>​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!