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
Gnom [1K]
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. A triangle is drawn to represent the roof with A and C representing the vertices of the horizontal base of the triangle. Two beams; represented by segments PC and QA are drawn that have one of their endpoints at C and A respectively, that intersect each other at point R which is in the triangle represented by the roof and that touch the slope of the roof at P and Q respectively. The length of RC is 5.1 inches, the length of PR is 3.4 inches. The length of AC is 4.2 inches. What is the distance between the endpoints of the beams P and Q?

Mathematics
2 answers:
olga55 [171]3 years ago
4 0
Because the triangles are similar, their corresponding sides will have the same ratio. Side corresponding to PQ is AC and side corresponding to RC is PR. Thus:
RC/PR = AC/PQ
5.1 / 3.4 = 4.2 / PQ
PQ = 2.8 inches
denis23 [38]3 years ago
3 0

Answer:  2.8 inches

Step-by-step explanation:

Since, Here \triangle QRP\sim\triangle ARC

Thus, By the property of similar triangle,

\frac{QP}{AC} = \frac{RP}{RC}

Given, AC = 4.2 inches, RP = 3.4 and RC = 5.1 inches

Thus, \frac{QP}{4.2} = \frac{3.4}{5.1}

⇒ QP = 4.2\times \frac{3.4}{5.1}

⇒ QP = \frac{14.38}{5.1}

⇒  QP = 2.8

Thus, the distance between P and Q is 2.8 inches

You might be interested in
Which two values of x are roots of the polynomial below?<br>x²-11x+17<br>​
Varvara68 [4.7K]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What’s the answer? A B C or D
Lorico [155]

The answer is B: 16.9!

Hope this helps!

8 0
3 years ago
To examine the potential effects on the transmission of dengue, Bian et al. (2010) infected mosquitoes from both the WB1 (labora
nekit [7.7K]

Answer:

reject H0

the viral titer is lower in WB1

Step-by-step explanation:

yeah

6 0
3 years ago
What is the slope of the line shown?
Finger [1]
The answer would be down 2 units from the y intercept and right 1
7 0
3 years ago
Read 2 more answers
The English and Social Studies classes are participating in an Egyptian Exhibit. One class has 25 students and the other class h
strojnjashka [21]

Answer:

2 groups of 30

Step-by-step explanation:

If you add together the two classes, you get 60 students. because you want to find the largest possible equal groups, with no students left over, you can divide all the students (60) by two, and you get 30 students in two groups.

7 0
3 years ago
Other questions:
  • The Tour de France race course was 3,642 kilometers. How many meters long was the race? One mile is about 1.6 kilometers. About
    9·2 answers
  • 12. Order these fractions from least to greatest. 1/5, 2/3, 6/15 (Hint: use
    14·1 answer
  • Hard I need help plz someone help!
    14·1 answer
  • Express the area of the entire rectangle.
    13·2 answers
  • -9x+2&gt;18 and 13x+15&lt;=-4
    6·2 answers
  • Over the interval [-3, 0], the local minimum is
    13·1 answer
  • Find the sum. Write your answer in standard form. (2x3+4x2+3)+(3x3−3x−4)
    11·2 answers
  • Fr33 points,<br> anyone like morgan wallen?
    13·2 answers
  • 1. Bianca can walk 5/6 of a mile in 1/3 of an hour. What is her walking speed, in miles per hour?
    13·1 answer
  • What is the combined length of all the buttons longer than 1 inch?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!