All categories

3 years ago

Use the diagram. AB is a diameter, and AB is perpendicular to CD. The figure is not drawn to scale.

Mathematics

1 answer:

Westkost [7]3 years ago

7 0

Answer:

The measure of arc BD is 147°

Step-by-step explanation:

we know that

If segment AB is perpendicular to segment CD

then

The measure of the inner angle CPA is a right angle (90 degrees)

Remember that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

m∠CPA=(1/2)[arc AC+arc BD]

substitute the given values

90°=(1/2)[33°+arc BD]

180°=33°+arc BD

arc BD=180°-33°=147°

You might be interested in

Circle C has a center at (-2,10) and contains the point P(10,5). Which equation represents circle C?

Rina8888 [55]

Answer:

The equation that represents circle C is $(x+2)^2+(y-10)^2=169$ .

Step-by-step explanation:

A circle is the set of all points in the plane which maintains a fixed finite distance r from a fixed point O = (a, b). Here O is called the center, and r is called the radius of that circle.

The standard equation for a circle with center (a, b) and radius r is

$(x-a)^2+(y-b)^2=r^2$

We are told that the center of this circle is (-2, 10), so

$(x+2)^2+(y-10)^2=r^2$

We are also told that the circle contains the point (10, 5), so we will use that information to find the radius r.

$(10+2)^2+(5-10)^2=r^2\\\\r^2=\left(10+2\right)^2+\left(5-10\right)^2\\\\r^2=12^2+5^2\\\\r^2=144+25\\\\r^2=169\\\\r=\sqrt{169}=13$

Therefore, the equation that represents circle C is

$(x+2)^2+(y-10)^2=13^2\\\\(x+2)^2+(y-10)^2=169$

7 0

3 years ago

Find the area of a trapezoid whose height is 2 meters and whose bases are 6 meters and 10 meters

zhannawk [14.2K]

Answer:

16 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) *h

= 1/2 ( 6+10) * 2

= 16 m^2

3 0

3 years ago

Read 2 more answers

Find the length of the unknown side. Round your answer to the nearest whole number.

aleksley [76]

The answer is 72.8. in order to solve this problem, you need to use the pythagorean theorem. the equation is c^2-b^2=a^2.

75^2-18^2=a^2

75 squared minutes 18 squared is 5301. then you need to find the square root of 5301.

the square root of 5301 is 72.8079666, rounding to 72.8.

6 0

3 years ago

Read 2 more answers

What is the length of the side of a right triangle that has a side length of 20 mm and a hypotenuse of 25 mm?

Marta_Voda [28]

I don't know but I think it is C

6 0

4 years ago

WILL GIVE BRAINLIEST find area

olga nikolaevna [1]

Answer:

$60 \: {cm}^{2}$