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3 years ago

-8x - 4 = -30 Round your answer to the nearest tenth.

Mathematics

2 answers:

STatiana [176]3 years ago

4 0

Answer: 3.25

Explanation :

-8x - 4 = -30
-8x = -26
x = -26/-8
x = 3.25

Tatiana [17]3 years ago

3 0

Answer:

-8x -4 = -30

-8x = -26

X = -26/8

X = 3.25

3.3 is your answer

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If arc XV = 80° and arc YX = 120°, what is the measure of ?YUV?

kramer

Answer:

The measure of angle YUV is 40°

Step-by-step explanation:

Consider the diagram of this question is attached below,

Where, Tangent line UV and secant XY intersect outside the circle at U,

Since,

$\widehat{XV}+\widehat{XY}+\widehat{VY}=360^{\circ}$

We have,

$\widehat{XV}=80^{\circ}, \widehat{XY}=120^{\circ}$

$\implies 80^{\circ}+120^{\circ}+\widehat{VY}=360^{\circ}$

$200^{\circ}+\widehat{VY}=360^{\circ}$

$\widehat{VY}=360^{\circ}-200^{\circ}=160^{\circ}$

Since, the measure of intercepted angle outside the circle is half of the difference of measure of intercepted arcs,

$\implies m\angle YUV = \frac{\widehat{VY}-\widehat{XV}}{2}$

$=\frac{160^{\circ}-80^{\circ}}{2}$

$=\frac{80^{\circ}}{2}$

$=40^{\circ}$

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