Ask your own question, for FREE!
Mathematics 12 Online
noblelove42:

What is the measure of PQ?

noblelove42:

In circle T, ∠PTQ ≅ ∠RTS.

noblelove42:

cant upload picture

mhchen:

|dw:1540915764025:dw| is it like this?

mhchen:

You can press the pencil-button on the top-right of my drawing to draw on it.

noblelove42:

mhchen:

Oh okay. So you see how there are 2 triangles in there? |dw:1540915914346:dw|

noblelove42:

yea

mhchen:

The 2 triangles are the same (or congruent). Because the angles from the middle are the same. And since it's a circle, all the sides of the triangle are the same. (The radius doesn't change).

noblelove42:

What is the measure of ? 24° 33° 48° 66°

mhchen:

What is the measure of what? your question didn't say what angle.

noblelove42:

pq

mhchen:

Oh that's the same as SR. Remember how the 2 triangles are the same? It's also 66 then.

noblelove42:

Which kind of triangle must triangle XYZ be? an equilateral triangle an isosceles triangle a scalene triangle a right triangle

noblelove42:

mhchen:

Hmm.. It looks like XY and YZ have the same lengths so it'll be an isosceles.

noblelove42:

A point is on a circle if the distance from the center of the circle to the point is equal to the area. circumference. radius. diameter.

mhchen:

|dw:1540916727074:dw| Do you know what that red line is called?

noblelove42:

radius

mhchen:

Yeah. That's what the question was describing.

noblelove42:

What is the length of the radius, r? 8 units 10 units 12 units 16 units

noblelove42:

noblelove42:

?

mhchen:

Sorry uh...I'm still thinking about it

noblelove42:

take your time

mhchen:

I'm going to make one assumption. "KL is tangent to circle J." Otherwise I don't think it's possible to solve this.

noblelove42:

yea it is tangent to J

mhchen:

|dw:1540917166085:dw| let me look at this a little more

mhchen:

GOT IT. So you know what the Pythagorean theorem is right?

noblelove42:

know of it

mhchen:

\[(Leg)^2 + (Leg)^2 = (Hypotenuse)^2\] If we use it here: \[(r)^2 + (24)^2 = (r+16)^2\]

mhchen:

So if we simplify that it becomes \[r^2 + 24^2 = r^2 + (2)(16)(r) + 16^2\] and that becomes \[24^2 =32r + 16^2\]

mhchen:

Are you able to solve for 'r' from here? or would you like me to help.

noblelove42:

yea

noblelove42:

its 10

mhchen:

Welp. There's your answer.

noblelove42:

In the diagram of circle C, m∠VWX is 43°. What is m? 39° 41° 78° 82°

noblelove42:

noblelove42:

would i do the same for this

mhchen:

No since none of them are tangents. Tangents make a right-angle. And you can only use pythagorean theorem for right-angle triangles.

mhchen:

Okay wait, where is 'm' at?

noblelove42:

there is no m

mhchen:

|dw:1540917711896:dw| So uh what are we looking for?

mhchen:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @noblelove42 In the diagram of circle C, m∠VWX is 43°. What is m? 39° 41° 78° 82° \(\color{#0cbb34}{\text{End of Quote}}\) This is what you asked

noblelove42:

What is mvx?

mhchen:

oh

mhchen:

|dw:1540917938014:dw|

mhchen:

Sorry I messed up xd, anyways there's the formula. |dw:1540917983781:dw|

mhchen:

Can you solve for VX in this equation: \[43 = \frac{125-VX}{2}\]

noblelove42:

82?

mhchen:

I got 39. 43 x 2 = 125 - VX 86 = 125 - VX VX = 125 - 86 VX = 39

noblelove42:

ok i get it

noblelove42:

In circle O, what is m∠MAJ?

mhchen:

I actually don't know how to solve this without assuming A is right underneath O. xd. Are there answer choies?

noblelove42:

no answer choices

mhchen:

Yeah shoot. i can't help anymore sorry.

mhchen:

@ThisGirlPretty Are you able to help with this question?

noblelove42:

What is the area of the sector that is not shaded? 12 24 120 144

noblelove42:

mhchen:

My brain is burned out. You know the area of a circle right? In here it would be 12^2 * pi Which is 144pi. Then you know that a circle is 360 degrees right? And you're only trying to find (360-60) degrees of it. That's 300/360 or 5/6 of the circle. So you divide 144pi by 6 and multiply it by 5. 5*144pi/6 = 120pi.

mhchen:

I can't help anymore. I'm gonna suffer some mental trauma.

noblelove42:

help tomorrow ?

noblelove42:

thank you

mhchen:

If you get on maybe xd.

noblelove42:

what is that

noblelove42:

questions that need to be answered ?

noblelove42:

?

noblelove42:

The measure of central angle ABC is radians. What is the area of the shaded sector?

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!