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
Inessa [10]
2 years ago
12

Find the values of the variables. ​

Mathematics
1 answer:
sladkih [1.3K]2 years ago
6 0

Answer:

x = 82

y = 98

z = 87

Step-by-step explanation:

By inscribed angle theorem:

x\degree =\frac{1}{2} (58\degree + 106\degree)

x\degree =\frac{1}{2}\times 164\degree

x\degree =82\degree

x =82

x° and y° are the measures of the opposite angles of a cyclic quadrilateral.

Opposite angles of a parallelogram are supplementary.

Therefore,

x° + y° = 180°

82° + y° = 180°

y° = 180° - 82°

y° = 98°

y = 98

Similarly,

93° + z° = 180°

z° = 180° - 93°

z° = 87°

z = 87

You might be interested in
A) -3 · x = -21<br><br> b) -7x + 16 = 2x - 20<br> help pls
NeTakaya

Answer:4

Step-by-step explanation:

B) -7x-2x= -20-16

    -9x= -36

      X= -36 /-9

      X= 4

7 0
3 years ago
Is this the right answer?
Ne4ueva [31]
Yes your answer is solved correctly
6 0
2 years ago
This is a 10 point question i need help
Bess [88]
It’s B because they both equal each other I would explain more but I’m in class but the answer is definitely B
4 0
3 years ago
A wooden board 100 centimeters long is cut into two pieces. One piece is 16 centimeters longer than the other. What are the leng
Bezzdna [24]

x = the length of one piece

y = the length of the other piece


the total length is 100 cm this means 


x + y = 100


one piece is 16 inches longer than the other


first we need to convert inches to cm: 


1 in = 2.54 cm

16 in = 2.54*16 = 40.64


now we can write


x = y + 40.64


by solving the system of equations


x + y = 100

x = y + 40.64


we find


x = 70.32 cm


y = 29.68 cm


the lengths of the two pieces are 70.32 cm and 29.68 cm.

4 0
2 years ago
How do I write the sum of 6x and 2x is at least 39 ?
tatiyna
<h2>Put x = \dfrac{39}{8} I write the sum of 6x and 2x is at least 39 .</h2>

Step-by-step explanation:

We have,,

6x and 2x

To find, the value of x = ?

According to question,

The sum of 6x and 2x is at least 39

∴ 6x + 2x = 39

⇒ 8x = 39

⇒  x = \dfrac{39}{8}

∴ The value of x = \dfrac{39}{8}

Thus, put x = \dfrac{39}{8} I write the sum of 6x and 2x is at least 39 .

5 0
3 years ago
Other questions:
  • Cathy has 10 feet of ribbon that she wants to use to make bows. She needs 2/3 foot of ribbon for each bow. She also needs to use
    13·1 answer
  • 2 to the power of x plus 2 to the power of negative x equals 5/2
    10·1 answer
  • Tom practiced piano 1 and 1/3 hours on Monday. If he spent half as much time practicing on Tuesday, how long did he practice on
    5·1 answer
  • If you multiplied a number by 1 2 , the result would be A) less than 1 B) half of the original number. C) a fourth of the origin
    9·1 answer
  • Graph the line y=-1/3x+2
    12·1 answer
  • Solve a triangle when A = 27.3°, B = 55.9°, and a = 8.6.
    5·2 answers
  • The seventh grade class is putting on a variety show to raise money. It cost $700 to rent the banquet hall that they are going t
    5·2 answers
  • What is the slope of a line parallel to -6x + 3y = 5<br><br> A. -2<br> B. 1/2<br> C. -1/2<br> D. 2
    9·1 answer
  • How Many Squares does the Below given picture. <br> Thanks.
    12·1 answer
  • Which expression is equivalent to 2(3w)?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!