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
galina1969 [7]
3 years ago
7

Given the figure below, find the values of x and z.

Mathematics
1 answer:
stepan [7]3 years ago
4 0

Answer:

z = 96; x = 8.

Step-by-step explanation:

z = 96. This is because the angle measuring z degrees is a vertical angle of the angle measuring 96 degrees, which means that the two angles are congruent.

The angle measuring 5x + 44 degrees forms a straight angle with the 96 degree angle. That means that the measurements of the two angles will add to be 180 degrees.

5x + 44 + 96 = 180

5x + 140 = 180

5x = 40

x = 8

Hope this helps!

You might be interested in
EFV and EDW are straight lines.<br>Find the value of x and of y.​
Makovka662 [10]

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

  • E = x
  • F = 130
  • G = 170
  • H = 65
  • D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

  • T = y
  • H = 65
  • S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

7 0
2 years ago
Describe 58 as a sum of tens and ones
Solnce55 [7]
58 is 5 tens (5*10) and 8 ones (8*1)
4 0
3 years ago
tom jogged 3/10 mile, betsy jogged 5/10 mile, and sue jogged 2/10 mile. who jogged a longer distance than 4/10 mile?
Inga [223]
Betsey jogged the longer distance.
5 0
3 years ago
If you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.
Murrr4er [49]

Answer:1/5 you can buy 1/5

Step-by-step explanation:

6 0
2 years ago
Ariel completes the square for the equation x2 - 16x + 17 = 0. Which of the following equations reveals the vertex of the parabo
stealth61 [152]
X² - 16x + 17 = 0
x² - 16x + 8² - 8² + 17 = 0
(x - 8)² - 64 + 17 = 0
(x - 8)² - 47 = 0 

-----------------------------------------------------------------------------------------
Answer: y = (x - 8)² - 47 (Answer D)
-----------------------------------------------------------------------------------------

8 0
3 years ago
Read 2 more answers
Other questions:
  • Solving for h 7a=10-2h
    8·2 answers
  • Alan measures the circular floor of a tepee, then calculates that it has an area of 12.56 square yards. What is the floor's diam
    15·1 answer
  • What's the 7th term in the geometric sequence
    8·1 answer
  • Describe how you would find the sum of 24,36and 13
    15·2 answers
  • 100 - 10x = 40 *<br><br> a X = 6<br> b X = 7<br> c X = -6<br> d X = 5
    12·2 answers
  • A bicycle is drawn on a grid such that the front tire is represented by the equation (x-16)^2+y^2=9 what is the tire's diameter?
    9·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • If you are dealt 3 cards from a shuffled deck of 52​ cards, find the probability that all 3 cards are queens.
    14·1 answer
  • a man invests a total of 5000 in a bank account that yields 5% interest compound monthly. how much will it be worth after 6 year
    10·1 answer
  • During a jump, a sky diver reaches terminal velocity. Which forces are in effect during a sky dive, and are they balanced or unb
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!