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
nika2105 [10]
3 years ago
6

If PQRS is a kite, find m angle Q

Mathematics
1 answer:
balu736 [363]3 years ago
6 0

Answer:

m<Q = 78°

Step-by-step explanation:

First, find the value of x:

7x + 2 = 10x - 31 (Non-vertex angles of a kite are congruent to each other)

Collect like terms

7x - 10x = -2 - 31

-3x = -33

Divide both sides by -3

x = 11

Find m<Q:

Sum of all angles in a kite = 360°

Therefore,

m<Q + m<P + m<S + m<R = 360°

m<Q + (7x + 2) + 124 + (10x - 31) = 360

Plug in the value of x

m<Q + (7*11 + 2) + 124 + (10*11 - 31) = 360

m<Q + 79 + 124 + 79 = 360

m<Q + 282 = 360

Subtract 282 from both sides

m<Q + 282 - 282 = 360 - 282

m<Q = 78°

You might be interested in
Janie has $3. She earns $1.20 for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD
Aleksandr-060686 [28]
She needs to do chores 12 more times
7 0
3 years ago
Read 2 more answers
Pleaseeeeee solveee 25 points pleaze help geometry
tatiyna

Answer:

(-3/2, 6)

Step-by-step explanation:

(-3,8) (6,-4)

As we move along the line segment with endpoints (-3,8) and (6,-4) from  (-3,8) to (6,-4) x increases by 9 units (from -3 to 6) and y decreases by -12 units (from 8 to -4).

for ratio of 1:5

Since 1+5=6, the point we are looking for is 1/6 of the way from (-3,8) to (6,-4).  

So, the desired point is

(-3 + (1/6)(9), 8 - (1/6)(12) )

= (-3 + 3/2 , 8 - 2)

= ( (-6 + 3)/2, 6)

= (-3/2, 6)

for map reference see the image below

8 0
3 years ago
Which expression is equivalent to the model? (look in attached image)
jeyben [28]
Expression A is equivalent
3 0
3 years ago
6. What’s the answer to this question?
4vir4ik [10]

Answer:C

Step-by-step explanation: The price to hire the cab is $2.50.

6 0
3 years ago
Def and feg are supplementary .m
arlik [135]

I think you posted this on accident

6 0
3 years ago
Other questions:
  • Same this for me but 6,912 and 288 please help
    9·1 answer
  • How do you read this question
    13·2 answers
  • A sphere has a radius of 6 meters. A second sphere has a radius of 3M. What is the difference of the volumes of the Spheres?
    14·1 answer
  • Mr. Yoshi has 75 papers. He graded 60 papers, and he had a student teacher grade the rest. What percent of the papers did each p
    9·1 answer
  • Tell whether the triangle with the given side lengths is a right triangle.
    11·1 answer
  • A pair of integers whose difference is -12​
    15·1 answer
  • Solve q=w-4/ z for w
    11·1 answer
  • milo is five inches shorter than his brother, jayce. If milo is 42 inches tall, then how tall is jayce?i need to write this into
    5·1 answer
  • Please help with this
    5·1 answer
  • Hey can you help thanks due in 22 min
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!