Applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.
<h3>How to Apply the Linear Pair Theorem?</h3>
Given the following angles in the image above:
Measure angle RSU = (17x - 3)°,
Measure angle UST = (6x – 1)°
To find the measure of angle TSV, we need to find the value of x in the given expressions as shown below:
m∠RSU + m∠UST = 180 degrees (linear pair]
Substitute the values
17x - 3 + 6x - 1 = 180
Solve for x
23x - 4 = 180
23x = 180 + 4
23x = 184
x = 8
m∠TSV = 180 - 2(m∠UST) [Linear Pair Theorem]
m∠TSV = 180 - 2(6x - 1)
Plug in the value of x
m∠TSV = 180 - 2(6(8) - 1)
m∠TSV = 86°
Therefore, applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.
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Answer:
70707mmm = 111nnn
Step-by-step explanation:
Using the basic equation of a line:
y = mx + c;. where m is slope and c is intercept on y axis.
Let mmm = y and nnn = x
(i) 333 = 212121m + c
(ii) 555 = 353535m + c
Making c the subject of the formula in both (i) and (ii)
c = 333 - 212121m = 555 - 353535m
353535m -212121m = 555 - 333
141414m = 222
m = 111/70707
Substitute in (i) above
c = 333 -333 = 0
Hence; y = 111/70707x + c
Finally, mmm = 111/70707 nnn
i.e. 70707mmm = 111nnn
Hope this helps.
Answer:
120 pi
Step-by-step explanation:
a. 1/3pi(6)^2(10)
just plug them into the calculator using pi.
b. pi is more accurate because you aren't round to 3.14. If you use 3.14 your answer will be rounded and not an exact number.
Answer:
The pentagon.
Step-by-step explanation:
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Answer:
Step-by-step explanation: