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
aleksklad [387]
3 years ago
15

Points P, Q, and S are collinear. What is m∠PQR? Straight angle P Q S is divided into 2 angles, P Q R and R Q S, by ray Q R. Ang

le P Q R has measure 3 x minus 5 degrees and angle R Q S has measure x plus 1 degrees. m∠PQR =
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

Step-by-step explanation:

If P, Q and S are collinear, then the three points lies on the same straight line.

If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;

<P Q R + <R Q S = 180

Given

<R Q S =x+1

<P Q R = 3x-5

Substitute the given expression into the formula and calculate x;

3x-5+x+1 = 180

collect like terms

3x+x - 5+1 = 180

4x-4 = 180

4x = 180+4

4x = 184

divide both sides by 4

4x/4 = 184/4

x = 46°

To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.

m∠PQR = 3x-5

m∠PQR = 3(46) - 5

m∠PQR = 138 - 5

m∠PQR = 133°

Hence the measure of angle m∠PQR is 133°

You might be interested in
Dennis and Eduardo are studying transformations using triangles. A ABC and A DEF are both plotted on a coordinate plane
Talja [164]

Answer:

i think they are

Step-by-step explanation:

8 0
2 years ago
The ratio of boys to girls in a class is 4 : 5
Fofino [41]

Answer: 4/9 of the class are boys and 5/9 of the class are girls.

Step-by-step explanation:

  1. There are 9 nine students in total in the class since 4 + 5 = 9.
  2. Input the amount of boys and girls there are in the class in the numerator  and have 9 as the denominator. 4/9 of the class are boys and 5/9 of the class are girls.
7 0
3 years ago
Read 2 more answers
Someone please help thanks!&lt;3
love history [14]

Answer:

y = -5x + 4/3

Step-by-step explanation:

m is the slope and b is the y intercept. m= -5 so -5 is the slope and b= 4/3 so 4/3 is the y intercept.

6 0
2 years ago
What does jury duty mean?
JulijaS [17]

Jury duty is where you have to server your duty being on a jury for a court case. On a jury duty, you vote if you think the person on trial is guilty or not.

-Steel jelly


3 0
3 years ago
Solve the expression 5x+2 1/2=15
Jobisdone [24]
X= 2.5 that is the correct answer
7 0
3 years ago
Other questions:
  • 4x to the 2nd power minus 12
    10·1 answer
  • Model 3 divided by 3/4
    12·1 answer
  • Cassie has has 2 boxes of markers. the first is 7/10 full and the 2nd box is 6/10 full. how many total boxes of markers deos she
    8·2 answers
  • I will give the brainiest
    6·1 answer
  • In your own words, describe the difference between a dilation and a stretch. *
    13·1 answer
  • 5x2= wat??? i really didnt get this in class and really need help
    12·2 answers
  • Can someone help me with this i don’t understand at all
    10·1 answer
  • Pedro is supposed to practice piano for 4/6 an hour every day. Today, he has practiced for 2/6 of an hour.
    14·2 answers
  • If someone mixes 36 liters of orange juice and 45 liters of soda water, how many batches would they make?
    15·1 answer
  • A Fraction of the Fair
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!