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
Elan Coil [88]
2 years ago
8

Find the value of x y and z below !

Mathematics
1 answer:
ehidna [41]2 years ago
8 0

Answer:

x=67, y=121, z=65

Step-by-step explanation:

One property of parallelogram is that opposite angles have the same measure, so we can write down:

(y-9)=112\\y=121

Another property is that two adjacent angles are supplementary (meaning that they add up to 180 degrees). Thus, the following equations are true:

(z+3)+112=180\\(x+1)+112=180

Solve the equations:

(z+3)+112=180\\z+115=180\\z=65\\(x+1)+112=180\\x+113=180\\x=67

To check, add up all 4 angles and check if they sum up to 360 degrees:

x=67, y=121, z=65\\(y-9)+(x+1)+(z+3)+112=360\\(121-9)+(67+1)+(65+3)+112=360\\112+68+68+112=360\\360=360

And please ignore the fact that I cannot insert the degree sign :(

You might be interested in
MATH HELP ASAP TYSM IF YOU PUT A RANDOM ANSWER YOU WILL BE REPORTED JUST GIVE ME THE ASNWER DON"T SHOW YOUR WORK TYSM
avanturin [10]

Answer:

1,080

Step-by-step explanation:

3 0
3 years ago
Lillian has nickels, dimes, and quarters in her coin purse. She has 3 fewer dimes than quarters, and 3 times as many nickels as
Reil [10]

Answer:

18 nickels, 6 dimes, and 9 quarters

Step-by-step explanation:

nickels dimes and quarters

x y and z

x+y+z=33

y+3=z

3y=x

3y+y+y+3=33

5y+3=33

5y=30

y=6

z=9

x=18

Hope this helps plz hit the crown :D

6 0
3 years ago
Seven and one sixth subtract three and four sixth
Ne4ueva [31]

Answer: 3 and 3 6ths

Step-by-step explanation:

7 0
3 years ago
Simplify. 2−4÷2+2^3 <br><br> A. -5 <br><br> B. 2<br><br> C. 7<br><br> D.8
alexira [117]
2-4÷2+2^3
=D.8
i'm not sure
5 0
3 years ago
Choose all of the equations that are equivalent to 8k=20.
Sholpan [36]
You have to give the choices.
4 0
2 years ago
Other questions:
  • Help~~~~~~~~~~~~~~~~~~~~~~~~~
    15·2 answers
  • A number k is increased by 7 is 34.
    5·1 answer
  • micah uses 2 bags of birdseed to fill up 4 bird feeders. how many bags wi'll he need to fill up 40 feeders?
    12·2 answers
  • Y=5/3x+1 and y=5/4x-7 determine if the equations are parallel, perpendicular or neither
    9·1 answer
  • Suppose you invest $150 a month for 5 years into an account earning 7% compounded monthly. After 5 years, you leave the money, w
    15·1 answer
  • Determine the coordinates of the point that partitions the segment from E to F into the ratio 3:5
    9·2 answers
  • XY is formed by X(-9,-7) and Y (-3,5 is line j is the perpendicular bisector of XY
    13·1 answer
  • Find the volume of this sphere.<br> Use 3 for T.<br> d=6in<br> V ~ [?]in3<br> V = Tr3
    14·1 answer
  • I need help plz percent equations the question is blank% of 16 = 12
    15·1 answer
  • 4(9 ÷ 3)^2 Can you please help
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!