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3 years ago

Which statement about BC←→ is correct?

Mathematics

2 answers:

Shkiper50 [21]3 years ago

7 0

Answer: BC is not a tangent line because m∠ABC≠90°.

Step-by-step explanation:

From the given picture, we have given a triangle ΔABC, in which

∠A=25° and ∠C=60°, AB is the radius of the circle.

if BC is tangent to circle then ∠B must equals to 90°because tangent line makes right angle with the radius of the circle.

Since, we know that by angle sum property of a triangle , the sum of all angles of triangle is 180°.

Therefore, in ΔABC

∠A+∠B+∠C=180°

⇒∠B=180°-∠A-∠C

⇒∠B=180°-25° -60°

⇒ ∠B=95°≠90°

⇒ BC is not tangent line .

puteri [66]3 years ago

6 0

I have the same question, I believe it is because angle B is 90* but IDK, when I find out ill let you know.

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Anika [276]

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Step-by-step explanation:

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We have that
A(-2,-4) B(8,1) 

let
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we know that

A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
distance MB is equal to (3/5) AB
so

step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
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step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
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the coordinates of point M is (2,-2)

see the attached figure

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