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
beks73 [17]
3 years ago
15

In the given diagram, if AP = 15 cm, AQ = 24 cm and PB + QC = 26 cm, find QC – PB, given PQ || BC.

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

Answer:

QC - PB = 6

Step-by-step explanation:

Given PQ is parallel to BC then it divides the sides proportionally, that is

\frac{AP}{AQ} = \frac{PB}{QC} = \frac{15}{24} = \frac{5}{8} , then

\frac{PB}{QC} = \frac{5}{8} ( cross- multiply )

8PB = 5QC → *

Given PB + QC = 26 , then

PB = 26 - QC

Substitute into *

8(26 - QC) = 5QC ← distribute left side

208 - 8QC = 5QC ( subtract 5QC from both sides )

208 - 13QC = 0 ( subtract 208 from both sides )

- 13QC = - 208 ( divide both sides by - 13 )

QC = 16

Thus PB = 26 - QC = 26 - 16 = 10

QC - PB = 16 - 10 = 6

You might be interested in
The solution to 5 - 3x> 35 is either x>-10 or -10> x. which solution is correct
velikii [3]
It should be x < -10 because when you divide by a negative number the inequality sign flips.

3 0
2 years ago
Hank has an old oil barrel he will use for a garbage can. The oil barrel is 84 centimeters in diameter and 150 centimeters in he
GREYUIT [131]
The answer to this question is going to be letter B
3 0
3 years ago
What is the value of the blue dot​
Sergio [31]
30000000000000000000000000000000 trust me bro
4 0
3 years ago
Read 2 more answers
If w= the weight of a trout, which algebraic expression represents the phrase
RoseWind [281]

Answer:

it would be w7

Step-by-step explanation:

because to get w you mulitply w with 7

so all that you need to do is put the 7 next to the w

because mathematicians are known to be lazzy so they do not put the multiplication sign, instead the put it next to each other meaning that it is mulitplied

simple awnser for the simple question

6 0
2 years ago
√4/9 =? <br><br>I need help finding the missing number.
kotykmax [81]

√4 / 9  

√4 = 2

So the answer would be....

2 / 9

Hope this helps!

7 0
3 years ago
Read 2 more answers
Other questions:
  • WILL GIVE BRAINLIEST ANSWER!!!!
    12·2 answers
  • 3 less than a number h is -12
    5·2 answers
  • There are 30 students in Jenna's class. Jenna brought in 13 cupcakes. Which equation can be used to find the number of cupcakes
    7·2 answers
  • On average the number of drum sets sold in Michigan each year is 96,537, which is seven times the average number of drum sets so
    8·1 answer
  • What is 30 tens in standard form?
    9·1 answer
  • HELP I WILL MARK YOU AS A BRAINLIEST!!
    9·1 answer
  • There are 3 meters from A to B, 22 meters from B to C, 5 meters from C to D, and 7 meters from D to E. What is the distance from
    6·1 answer
  • A circle is centered at (-6,3) and has a radius of 11. Where does the point (3,-3) lie?
    10·1 answer
  • I need help pls!! no random answers pls very important!!​
    11·2 answers
  • Which statements about mass are true?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!