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
IrinaVladis [17]
3 years ago
5

Which of the following is the value or PQ

Mathematics
1 answer:
liberstina [14]3 years ago
3 0

Answer:

B. 61

Step-by-step explanation:

Given:

∆PQR ≅ ∆PQS

PQ = 2x + 41

QS = 7x - 24

QR = 3x + 16

Required:

Numerical value of PQ

SOLUTION:

First, create an equation to find the value of x as follows:

Since both triangles are congruent, therefore:

QS = QR

7x - 24 = 3x + 16 (Substitution)

Collect like terms

7x - 3x = 24 + 16

4x = 40

Divide both sides by 4

4x/4 = 40/4

x = 10

Find PQ by plugging x = 10 into PQ = 2x + 41

PQ = 2(10) + 41

PQ = 20 + 41

PQ = 61

You might be interested in
What is the volume of this rectangular prism?
Firlakuza [10]

Answer:

Where?

Step-by-step explanation:

Where’s the rectangular prism?

8 0
3 years ago
Read 2 more answers
Directions:
lord [1]

Answer: Montresor struggles with anger, and grudges. Montresor feels remorse at the end but excuses it as the dampness of the catacombs.

He sees the world without justice and sees to make justice for himself. In the story he talks about the misgivings and insults he receives from fortunato. He takes vengeance against him.

(haven´t read book based off summary) Princess Irene  shares a friendship that is strong. I infer this based off the trust and bonding they share in the book. She struggles against goblins.  

Step-by-step explanation: I really hope this helps havent read the books in a long time.!!

8 0
3 years ago
A group of x golfers are split up into 3 groups there are 4 golfers in each group
n200080 [17]
Multiplying 3 and 4 should give you the answer

3 0
3 years ago
Read 2 more answers
YOOOO HELP THIS DUE IN 30 MINUTES AND IM ON QUESTION 5 OUTTA 15 LOL
stepladder [879]

Answer: D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What does W = too please help
dedylja [7]
-7w+3(w+6)=30\\\\-7w+3w+18=30\\\\-4w+18=30\ \ \ \ \ |subrtact\ 18\ from\ both\ sides\\\\-4w=12\ \ \ \ \ \ |divide\ both\ sides\ by\ (-4)\\\\\boxed{w=-3}

3 0
4 years ago
Read 2 more answers
Other questions:
  • You roll an fair number cube. The six possible outcomes when rolling are one, two, three, four, five, six. What are the favorabl
    11·1 answer
  • In an equilateral hexagon, four of the exterior angles each have a measure of x degrees. The other two exterior angles each have
    11·1 answer
  • Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    9·2 answers
  • What is the midpoint of the vertical line segment graphed below?
    9·1 answer
  • What is 5/12 of 5 hours
    14·2 answers
  • Z varies directly as x². If z=8 when x=2, find z when x=7
    13·1 answer
  • Solve the equation. <br> |x + 5| = 9<br><br> a. |-14,4|<br> b. |-4,14|<br> c. |4,14|<br> d. |-14,4|
    13·2 answers
  • 4. What is the volume of the prism below?<br> 12 in<br> 9 in<br> 16 in
    7·1 answer
  • 6. In the triangle ABC, AB = 7 cm, BC = 8 cm and ABC = 90°. Point P lies inside the triangle such that BP = PC = 5 cm. Find:
    6·1 answer
  • PLSSSS HELPPP ME. i dont understand this
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!