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Mrrafil [7]
2 years ago
8

A line has a slope of -3 and includes the point (-5,4) and (-7,q). What is the value of q​

Mathematics
1 answer:
serious [3.7K]2 years ago
8 0

Answer:

q = 10

Step-by-step explanation:

\text{slope} =-3=\frac{q-4}{-7-(-5)} =\frac{q-4}{-2} \\\Longrightarrow -3=\frac{q-4}{-2} \\\Longrightarrow \left( -3\right)  \times \left( -2\right)  =q-4\\\Longrightarrow 6=q-4\\\Longrightarrow q=6+4\\\Longrightarrow q=10

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Step-by-step explanation:

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What is the measure of WUX in Circle V ?
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Answer:

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Step-by-step explanation:

<u><em>The complete question is:</em></u>

In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. Circle V is shown. Line segments W V, X V, Z V, and Y V are radii. Lines are drawn from point W to point X and from point Z to point Y to form secants. Point U is on the circle between points W and X. What is the measure of Arc W U X in circle V?

The picture of the question in the attached figure

step 1

Find the measure of angle XWV

we know that

The triangle VWX is an isosceles triangle, because has two equal sides (VX=VW)

we have

m\angle WXZ=30^o\\m\angle WXV=m\angle WXZ

so

m\angle WXV=30^o

Remember that an isosceles triangle has two equal interior angles

so

step 2

Find the measure of angle WVX

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle\ WVX+m\angle XWV+m\angle WXV=180^o

substitute the given values

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step 3

Find the measure of arc WUX

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we have

m\angle WVX=120^o

therefore

arc\ WUX=120^o

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3 years ago
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