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AlexFokin [52]
3 years ago
13

Angle C is inscribed in circle O. Line AB is a diameter of circle O. What is the measure of angle B? I can't get the picture but

the image is of a triangle inside a circle with one angle given of 46 degrees. It's a khan academy problem
Mathematics
1 answer:
WINSTONCH [101]3 years ago
7 0

Answer:

Step-by-step explanation:

Since the inscribed angle theorem tells us that any inscribed angle will be exactly half the measure of the central angle that subtends its arc, it follows that all inscribed angles sharing that arc will be half the measure of the same central angle. Therefore, the inscribed angles must all be congruent.

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A triangle has a perimeter of 72 units, and two of its sides measure x units and 3x units, respectively. Which inequality repres
blagie [28]

Answer:

x

Step-by-step explanation:

Given: Perimeter of triangle= 72 units

          Measure of one of the side= x units

          Measure of second side = 3x units

We know the perimeter of triangle is equal to sum of all sides.

Now, finding the possible value of x

forming an inequality to determine the value of x

Remember triangle has three sides, however, measure of only two sides are given.  

⇒ x+3x < 72\ units

⇒ 4x

Dividing both side by 4

⇒ x < 18

∴ The inequality to represents all possible values of x is x < 18

4 0
3 years ago
I need help knowing how to show the work and how to get the answer and the answer it self
Morgarella [4.7K]
Find the separate areas.

We have a triangle with base 5 cm and height 5 cm, calculate the area:

\sf A=\dfrac{1}{2}bh

Plug in what we know:

\sf A=\dfrac{1}{2}(5)(5)

Multiply:

\sf A=12.5~cm^2

Now for the two quarter circles, we know that if we put these two together we will end up with a semi-circle with radius 5 cm. The formula for the area of a circle is:

\sf A=\pi r^2

A semi-circle is half of a whole circle, so the formula for the area of it must be:

\sf A=\dfrac{1}{2}\pi r^2

Now plug in what we know(use 3.14 to approximate for pi):

\sf A\approx\dfrac{1}{2}(3.14)(5)^2

Simplify the exponent:

\sf A\approx\dfrac{1}{2}(3.14)(25)

Multiply:

\sf A\approx 39.25~cm^2

Now add this to the area of the triangle to find the approximate area of the entire figure(round to the nearest tenth):

\sf 39.25+12.5=\boxed{\sf 51.8~cm^2}
4 0
3 years ago
If on the unit circle C , the distance from P (1, 0) to the point T ( 5/13, 12/13 ) is x , determine the coordinates of the poin
Lorico [155]

Answer:

T' (\frac{5}{13},- \frac{12}{13})

Step-by-step explanation:

See the diagram attached.

This is a unit circle having a radius (r) = 1 unit.

So, the length of the circumference of the circle will be 2πr = 2π units.

Now, the point on the circle at a distance of x along the arc from P is T(\frac{5}{13},\frac{12}{13}).

Therefore, the point on the circle at a distance of 2π - x along the arc from P will be T' (\frac{5}{13},- \frac{12}{13}), where, T' is the image of point T, when reflected over the x-axis. (Answer)

6 0
3 years ago
Find the slope of the two points (-7, 8) and (4, -3).
Nastasia [14]

Answer:

y = (15/24)x + 6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
the points (4,-4) and (4,-6) lie on a circle with the radius of 1. what is the center point of the circle
ycow [4]
The centre point is given by;
( \frac{ x_{2}+ x_{1}  }{2} , \frac{ y_{2} + x_{1} }{2} )
=(  \frac{4+4)}{2}  + \frac{-4+(-6)}{2} )
=( \frac{8}{2} , \frac{-10}{2} )
=(4, -5)
7 0
4 years ago
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