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otez555 [7]
4 years ago
8

Write the standard equation of the circle with center (-8, -7) and a radius of 6.5.

Mathematics
1 answer:
Temka [501]4 years ago
6 0
The standard equation of a circle is:

(x-h)^2+(y-k)^2=r^2, where r=radius and (h,k) is the center of the circle so:

(x--8)^2+(y--7)=6.5^2

(x+8)^2+(y+7)=42.25
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Lines AC←→ and DB←→ intersect at point W. Also, m∠DWC=138° .
mr_godi [17]

m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°

Solution:

Line \overrightarrow{A C} \text { and } \overrightarrow{B D} intersect at a point W.

Given m \angle D W C=138^{\circ}.

<em>Vertical angle theorem:</em>

<em>If two lines intersect at a point then vertically opposite angles are congruent.</em>

<u>To find the measure of all the angles:</u>

∠AWB and ∠DWC are vertically opposite angles.

Therefore, ∠AWB = ∠DWC

⇒ ∠AWB = 138°

Sum of all the angles in a straight line = 180°

⇒ ∠AWD + ∠DWC = 180°

⇒ ∠AWD + 138° = 180°

⇒ ∠AWD = 180° – 138°

⇒ ∠AWD = 42°

Since ∠AWD and ∠BWC are vertically opposite angles.

Therefore, ∠AWD = ∠BWC

⇒ ∠BWC = 42°

Hence the measure of the angles are

m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°.

7 0
3 years ago
A student bought a book for $7.50 and a pen.the total cost was $9.50.which of the following can be used to find the cost of the
zloy xaker [14]
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How do I factor 8v2-8v-448=0?
Shtirlitz [24]
Factor it should be
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3 years ago
The front of a box is a square with an area of 175 square units. What would be the best represents S, the length of the edge of
alexira [117]

Answer:

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Step-by-step explanation:

√175 ≈ 13.2 . . . units

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