Circle A and Circle B are conguent. CD is a chord of both circles. if AB=24 in and the radius is 13 in how long is CD

100 points the right answer please the set designer for a play painted some background scenery on a large piece of plywood. He u

podryga [215]

Answer:

14 ft

Step-by-step explanation:

Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle. Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.

Applying the Pythagorean Theorem, we get:

13^2 = (h - 2)^2 + 5^2, or

169 = h^2 - 4h + 4 + 25, or

144 = h^2 - 4h + 4, or

140 = h^2 - 4h, or, finally,

h^2 - 4h - 140 = 0. We must find the value of h.

I graphed this function on a calculator and found that -10 is a zero. Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.

The total height of the piece of plywood is 14 ft.

Check this: does a right triangle with legs (14 - 2) and 5 have a hypotenuse of 13? Yes.

7 0

3 years ago

Which equation represents a line that is perpendicular to the y-axis?

Sindrei [870]

Answer:

C, $y=-8$

Step-by-step explanation:

$y=-8$ , is a horizontal line, which makes it vertical to the y-axis

6 0

3 years ago

What’s the proof for this

KIM [24]

Well... Basically, you should prove this by SSS property(side-side-side). It's fair to say that the length of a side is equal to itself so The line that cuts through the rectangle is a side for both rectangles. Thus because of the given, all the sides of the triangles are equal to one another. This is a very important trick for geometry(I remember using it a lot).
Hope this helps!

7 0

3 years ago

The cost of maintaining car A is $300 per year plus $.014 per mile driven. The cost of maintaining car B is $200 per year plus $

mylen [45]

When cost is equal