2 years ago

Find the missing value in the table.

Mathematics

1 answer:

dimulka [17.4K]2 years ago

7 0

Answer:

we're just multiplying X × 2 every time so (y=80)

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Given: circle k(O), m∠P=95°, m∠J=110°, m∠LK=125°<br> Find: m∠PJ

IRINA_888 [86]

Answer:

The measure of the arc PJ is $75\°$

Step-by-step explanation:

step 1

Find the measure of angle L

we know that

In a inscribed quadrilateral opposite angles are supplementary

$m$

we have

$m$

substitute

$m$

step 2

Find the measure of arc KJ

we know that

The inscribed angle measures half that of the arc comprising

$m$

substitute the values

$95\°=\frac{1}{2}(125\°+arc\ KJ)$

$190\°=(125\°+arc\ KJ)$

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step 3

Find the measure of arc PJ

we know that

The inscribed angle measures half that of the arc comprising

$m$

substitute the values

$70\°=\frac{1}{2}(65\°+arc\ PJ)$

$140\°=(65\°+arc\ PJ)$

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