Mathematics: Two secants go through point a, which is a point in the exterior of a circle, makes a 32° angle. the measure of the bigger arc, which those secants intercept, is 100°. find the measure of the smaller arc.

Two secants go through point a, which is a point

Ответ:

jluvit6135

11.01.2022

Mathematics

The measure of the smaller arc is $36\°$

Step-by-step explanation:

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

Let

x-----> the measure of the bigger arc

y----> the measure of the smaller arc

we know that

$32\°=\frac{1}{2}(arc\ x-arc\ y)$

we have

$arc\ x=100\°$

substitute the values and solve for arc y

$32\°=\frac{1}{2}(100\°-arc\ y)$

$64\°=(100\°-arc\ y)$

$arc\ y=100\°-64\°=36\°$

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Ответ:

joejoefofana

21.01.2023

Mathematics

(13y + 15) -9y

-117y - 135

Step-by-step explanation:

Distribute -9y to the inside numbers in the parentheses -117y and -135 are not compatible to each other ( because the -135 doesn't have a y ) so that would give you your final answer of:

-117y -135

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Two secants go through point a, which is a point in the exterior of a circle, makes a 32° angle. the measure of the bigger arc, which those secants intercept, is 100°. find the measure of the smaller arc.

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