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LuckyWell [14K]
2 years ago
5

I would really appreciate anyone who can answer this, Thanks!

Mathematics
1 answer:
gregori [183]2 years ago
8 0

Answer:

JM

Step-by-step explanation:

A tangent line is a line that only intersects a circle at one point.

LG and CJ are not lines, and GH intersects the circle twice (at point G and point H), so JM is the tangent line.

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PLEASE PLEASE HELP! Find the measure of APB^.
Whitepunk [10]

Answer:

65°

Step-by-step explanation:

Radii CA and CB are perpendicular to tangent lines AT and BT, so

\angle CAT=\angle CBT=90^{\circ}

Since angle BAT is equal to 65°, angle CAB has measure

\angle CAB=90^{\circ}-65^{\circ}=25^{\circ}.

Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus

\angle CBA=\angle CAB=25^{\circ}

The sum of the measures of all interior angles in triangle is always 180°, so

\angle CAB+\angle CBA+\angle ACB=180^{\circ}\\ \\25^{\circ}+25^{\circ}+\angle ACB=180^{\circ}\\ \\\angle ACB=130^{\circ}

Angle ACB is central angle subtended on the minor arc AB, angle APB is inscribed angle subtended on the same minor arc AB. The measure of inscribed angle is half the measure of central angle subtended on the same arc, so

x=\angle APB=\dfrac{1}{2}\cdot 130^{\circ}=65^{\circ}

8 0
3 years ago
An example of a plane geometric surface is ​
Vesnalui [34]

Answer:

A  square

Step-by-step explanation:

8 0
2 years ago
Helppppp what was Fátima’s error?
Gekata [30.6K]

Answer:

She applied the exponent -2 to 4(-2) instead of applying the exponent to just -2.

Step-by-step explanation:

i got my rerecord from my flash cards my teacher made of some answers

3 0
3 years ago
What is the equation in slope-intercept form of the line that passes through the points(-4,2) and (12,6)?
aleksandrvk [35]

Answer:

y=1/4x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-2)/(12-(-4))=4/(12+4)=4/16=1/4

y-y1=m(x-x1)

y-2=1/4(x-(-4))

y-2=1/4(x+4)

y=1/4x+4/4+2

y=1/4x+1+2

y=1/4x+3

3 0
2 years ago
AB is Tangent to circle O at B. if AB = 7 and AO = 17.4, what is the length of radius r to the nearest tenth?
irakobra [83]
The angle the radius makes with AB is a right angle, so the Pythagorean theorem applies.
  r² = 17.4² - 7² = 253.76
  r = √253.76 ≈ 15.9

The length of radius r is about 15.9.
5 0
3 years ago
Read 2 more answers
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