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
Makovka662 [10]
3 years ago
6

Which pair of equations can be used to solve for x in PQR?

Mathematics
1 answer:
almond37 [142]3 years ago
7 0

Answer:

A

Step-by-step explanation:

sin57° = \frac{opposite}{hypotenuse} = \frac{PQ}{PR} = \frac{x}{18}

∠ P = 180° - (90 + 57)° ← sum of angles in triangle

∠ P = 180° - 147° = 33° , then

cos33° = \frac{adjacent}{hypotenuse} = \frac{PQ}{PR} = \frac{x}{18}

Thus the 2 ratios used to solve for x are A

You might be interested in
Find the value of the power.
marin [14]
The value of of the power is 5, because it is 3^5.
7 0
3 years ago
Read 2 more answers
Starting at the same point at the same time, Samuel and Heather rode their bikes in the same direction. Samuel traveled 3km/h fa
12345 [234]

Samuel was going with 40 km/h and Heather was going with 37 km/h

Step-by-step explanation:

Starting at the same point at the same time, Samuel and Heather rode their bikes in the same direction

  • Samuel traveled 3 km/h faster than Heather
  • After 3.5 h Samuel stopped for a half-hour break, but Heather kept going
  • Heather was 8 km ahead of Samuel

We need to find how fast each was going

Assume that Heather's speed is x km/h

∵ Heather's speed = x km/h

∵ Samuel traveled 3 km/h faster than Heather

∴ Samuel's speed = x + 3 km/h

The formula of the distance is distance = speed × time

∵ Samuel travel for 3.5 hours

- Find the distance that Samuel traveled in 3.5 h

∴ Samuel distance = (x + 3) × 3.5

- Multiply the bracket by 3.5 to simplify

∴ Samuel distance = 3.5x + 10.5

∵ Samuel took a break for half hour

∵ Heather kept going

∵ At the end of the break, Heather was 8 km ahead of Samuel

- That means Heather was going for 4 hours (3.5 + 0.5), and her

   distance is longer than Samuel distance by 8 km

∴ Heather distance = x × 4 = 4x

- Subtract the distance of Samuel from the distance of Heather

   and equate the difference by 8

∵ 4x - (3x + 10.5) = 8

∴ 4x - 3x - 10.5 = 8

- Add the like terms in the left hand side

∴ 0.5x - 10.5 = 8

- Add 10.5 to both sides

∴ 0.5x = 18.5

- Divide both sides by 0.5

∴ x = 37

∵ x represents Heather's speed

∴ Heather's speed = 37 km/h

∵ x + 3 represents Samuel's speed

∴ Samuel's speed = 37 + 3 = 40 km/h

Samuel was going with 40 km/h and Heather was going with 37 km/h

Learn more:

You can learn more about the equation of motion in brainly.com/question/568302

#LearnwithBrainly

3 0
3 years ago
Is cereal soup yes or no why if yes why if no
grigory [225]

Yes because it is just milk and a substance in the milk
6 0
3 years ago
Read 2 more answers
If abcd is dilated by a factor of 3, the coordinate of a would be?
Katyanochek1 [597]

Answer: (-9, -3)

Step-by-step explanation:

A = (-3, -1)

A' = (-3, -1)*3 = (-9, -3)

4 0
1 year ago
What is the value of x?<br> (7x – 8)°<br> you<br> 62°
Leni [432]

Answer:

x=18

Step-by-step explanation:

180=62+(7x-8)

solve

x=18

4 0
2 years ago
Other questions:
  • Nine more than a number is 58. Write and solve an equation to determine the number. (Writing the equation is required.)
    5·2 answers
  • At the start of his race, 86-kg Olympic 100m champion Usain Bolt pushes against the starting block, exerting an average force of
    14·1 answer
  • If the edge length of a cube is 12 feet, what is the correct way to write the expression to represent the volume of the cube in
    7·2 answers
  • Write and solve a word problem that matches the diagram shown
    5·1 answer
  • Lydia writes the equation below with a missing value.
    14·2 answers
  • _ +18=5+41<br><br> What is the equation to finding the missing number
    9·2 answers
  • Pierre inherited S269,100 from his uncle and decided to invest the money. He put part of the
    10·1 answer
  • In a class of 32 students
    10·1 answer
  • Ariana is writing a poem. She writes 30 words on the first line, 30 words on the second line, 30 words on the third line, and 30
    15·2 answers
  • 49 Which of the following is a measure
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!