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frutty [35]
3 years ago
10

Find the value of each variable.

Mathematics
1 answer:
DaniilM [7]3 years ago
8 0

Answer: x = 143 degrees, y = 37 degrees and z = 143 degrees

Step-by-step explanation: First of all, looking at the line where x is situated,

37 + x = 180 {Sum of angles on a straight line equals 180}

Subtract 37 from both sides of the equation

x = 143

Next, looking at the line where y is situated, we observe that angle y is opposite of angle 37. Opposite angles are equal, therefore

y = 37

Alternatively, since angles x and y lie on the same line, and x has been calculated as 143, then

y + x = 180

y + 143 = 180

Subtract 143 from both sides of the equation

y = 37

Also looking at the line where angle z is situated, angle z is opposite angle x. Opposite angles are equal. Therefore z = 143.

Alternatively angle z and angle 37 lie on the same line. Therefore,

z + 37 = 180

Subtract 37 from both sides of the equation

z = 143

So all three variables are

x = 143, y = 37 and z = 143

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Read 2 more answers
A<br> 19 = 548 and a<br> 33 = 968<br> Find a<br> 27
s2008m [1.1K]

Answer:

The value of a₂₇ is 788

Step-by-step explanation:

a₁₉ = 548

a₃₃ = 968

Now,

a₁₉ = 548 can be written as

a + 18d = 548 ...(1) and

a₃₃ = 968 can be written as

a + 32d = 968 ...(2)

Now, from equation (2) we get,

a + 32d = 968

a + 18d + 14d = 968

548 + 14d = 968 (.°. <u>a + 18d = 548</u>)

14d = 968 - 548

14d = 420

d = 420 ÷ 14

d = 30

Now, for the value of a put the value of d = 30 in equation (1)

a + 18d = 548

a + 18(30) = 548

a + 540 = 548

a = 548 - 540

a = 8

Now, For a₂₇

a₂₇ = a + 26d

a₂₇ = 8 + 26(30)

a₂₇ = 8 + 780

a₂₇ = 788

Thus, The value of a₂₇ is 788

<u>-TheUnknownScientist</u>

4 0
3 years ago
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