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
Olegator [25]
3 years ago
15

Find the value of x if P Q R S spaceis a parallelogram.

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

Answer:

The value of x is 15.

Step-by-step explanation:

Given

PQRS is a parallelogram.

∠Q = (3x + 25)°

∠S = (5x - 5)°

To determine

The value of x = ?

We know that both pairs of opposite angles of a parallelogram are congruent.

As ∠Q and ∠S are opposite angles of a parallelogram. Therefore,  ∠Q and ∠S are equal.

Thus,

∠Q = ∠S

substitute ∠Q = (3x + 25)° and ∠S = (5x - 5)° in the equation

(3x + 25)°  = (5x - 5)°

subtract 25 from both sides

3x + 25 - 25 = 5x - 5 - 25

3x = 5x - 30

flip the equation

5x - 30 = 3x

add 30 to both sides

5x - 30 + 30 = 3x + 30

5x = 3x + 30

subtract 3x from both sides

5x - 3x = 3x + 30 - 3x

2x = 30

divide both sides by 2

2x/2 = 30/2

x = 15

Therefore, the value of x is 15.

You might be interested in
Which of the following expressions are equivalent
Ber [7]
It’s 2 and 3 bc 6a+12 and then 3(2a+4) and you need to distribute for that so 3 times 2a equals 6a and 3 times 4 equals 12 so you get 6a+12
5 0
2 years ago
Read 2 more answers
Clara goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara
Nitella [24]

Answer:

26.25-7.50 = 18.75

18.75/6.25= 3

She golfed for 3 rounds

Step-by-step explanation:

5 0
3 years ago
Hi can someone help me understand how to work this problem out? I'll mark brainliest. Thanks:)
Ierofanga [76]

Answer:

0.73001

Step-by-step explanation:

1 month = 730.01 hours

730.01 * $0.001

= 0.73001

Approximately 0.73 or 0.7.

8 0
3 years ago
Find the first four terms of the sequence given by the following.<br> an = 42-8(n-1), n=1, 2, 3....
nekit [7.7K]

Answer:

21

Step-by-step explanation:

its correct

7 0
2 years ago
If pqrs is a square solve for x what do I do?
ICE Princess25 [194]

Answer:

x = 11

Step-by-step explanation:

Properties of a square,

1). Diagonal of a square bisect the opposite angles.

2). All interior angles of a square measure 90°.

From these properties,

m∠PQR = 90°

Since, diagonal QS bisects angle PQR,

m∠PQS = m∠RQS = 45°

(6x - 21)° = 45°

6x = 45 + 21

6x = 66

x = 11

3 0
3 years ago
Other questions:
  • 6x+7when x =5? <br><br>6+5=11+7=18
    8·1 answer
  • How do you find a slope of a line using only two points??
    12·2 answers
  • Write 3.764x10^-5<br> in standard notation.
    8·1 answer
  • Find the value of x. <br> a) 2<br> b) 4<br> c) 6<br> d) 8
    15·1 answer
  • Find the missing values to make the statement true.
    10·2 answers
  • sam can make 18 burritos in 8 min write the ratio that compares the time to the number of burritos simplify if possible
    13·1 answer
  • a cube with side lengths s has a volume of 64 cubic units. what is the length of the side of the cube?
    8·1 answer
  • SOMEONE PLEASE HELP ME ASAP PLEASEEE!!!!
    7·2 answers
  • What is equivalent to 3:9
    12·2 answers
  • Frank has a chance of receiving an A grade in statistics, a chance of receiving an A grade in geology, and a chance of receiving
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!