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
Kay [80]
3 years ago
5

How do you find this answer? M

Mathematics
1 answer:
sweet [91]3 years ago
7 0

Answer:

  m∠QTP = 43°

Step-by-step explanation:

As with any problem, you start by looking at what you are given and the relationships between those things and what you are to find.

There are several relationships you can make use of here:

  • the sum of angles of a triangle is 180°
  • vertical angles are congruent
  • corresponding angles are congruent where a transversal crosses parallel lines

The angles marked (3x°) and (5x-32)° are corresponding angles, so are congruent. That means you can find their measure:

  3x = 5x -32

  0 = 2x -32 . . . . . subtract 3x

  0 = x -16 . . . . . . . divide by 2

  16 = x . . . . . . . . . .add 16

  3x° = 48° . . . . . . find 3x°

Angle TPQ is vertical with 3x°, so also has measure 48°. Angle TQP is vertical with the angle marked 89°, so also has measure 89°.

Now, you know two of the three angles in triangle QTP, so you can find angle QTP:

  m∠QTP + 48° + 89° = 180° . . . sum of angles in a triangle

  m∠QTP = 43° . . . . . . . . . . . . . . subtract 137°

You might be interested in
A local hamburger shop sold a combined total of 483 hamburgers and cheeseburgers on Thursday. There were 67 fewer cheeseburgers
dusya [7]

Answer:

416, I believe this is the answer.

Step-by-step explanation:

483 - 67 = 416

5 0
3 years ago
Read 2 more answers
I need help on this thx ​
Anuta_ua [19.1K]
Answer: x = 75

Explanation: Basically, the three angles of the triangle add up to 180 degrees. The bottom left angle is ninety degrees. (You can figure that out by looking at the symbol that looks like a square in the bottom left angle of the triangle.) If you see that in other problems it means that that angle equals 90 degrees. To find the bottom right angle, you take 165 and subtract it from 180 because the diagonal line intersects the line that is going horizontally. That would give you 15. You can check this by adding 15 and 165 and you know that you’re right if you get 180. That gives you two angles. As I said in the beginning, the three angles of the triangle should add up to 180. Now you have 90 degrees and 15 degrees. You add those two and you get 105. Now all you have to do is subtract 105 from 180. You should get 75. You can check if you get the right answer by adding 90, 15, and 75 together. If you get 180 then you are correct. If you don’t get 180 then you did something wrong and should do the problem again. Sorry for the long paragraph, I wanted to get all the details in in case you had any questions. :) Hope this helps.
3 0
3 years ago
Translate 5x+7 into a verbal sentence.
algol13
B im pretty sure....
7 0
3 years ago
Max bought a package of hamburger that weighs pounds. He needs of that amount for a recipe. How much hamburger does Max need for
kari74 [83]

5 1/3 is the answer to your problem


4 0
3 years ago
To the neareast tenth,what is the area of the figure below? Use 3.14 for pi.
WARRIOR [948]
What figure below.....
8 0
3 years ago
Other questions:
  • Write 38/15 as a mixed number
    14·2 answers
  • Find the unit rate in each situation below in miles per hour.
    12·2 answers
  • Which expression is equivalent to
    7·2 answers
  • A team spent 20 mins on passing drills and 40 minuets ona shooting drill, what is the ratio of time spent on shooting drills to
    13·1 answer
  • The two cones are congruent. Determine the unknown measures of the cones. A = units B = units C = units D = units
    12·2 answers
  • Use completing the square to solve for x in the equation (x+7)(x-9) = 25.
    7·1 answer
  • List the sides in ^ EFG in order from smallest to largest.
    6·1 answer
  • Enter an expression into each box to create a true equation 30x + __=6(__+7)​
    15·1 answer
  • Chen rode his skateboard 3 1/4 miles in 1/3 of an hour. What was his average speed in miles per hour
    13·1 answer
  • Can someone help me with this worksheet please!!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!