2 years ago

Set up an equation (part + part = whole). Solve the equation to find the value of x. 10 + x + x + 20 = 12

Mathematics

1 answer:

Licemer1 [7]2 years ago

3 0

Answer:

x is equal to -9 thus it becomes -18 in the whole setup

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Given: m arc IV =140°, m arc VK =30°, m∠ISV=135° Find: m∠VPL

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Answer:

$m$

Step-by-step explanation:

step 1

Find the measure of arc PK

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

Let

x------> the measure of arc IV

y ------> the measure of arc PK

$m$

substitute the values and solve for y

$135\°=\frac{1}{2}(140\°+y)$

$270\°=(140\°+y)$

$y=270\°-140\°=130\°$

The measure of arc PK is $130\°$

step 2

Find the measure of angle VPL

we know that

The inscribed angle measures half that of the arc comprising

Let

z------> the measure of arc VK

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$m$

substitute the values

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