Question

3 geometry questions! PLEASE JUST CHECK MY ANSWERS!!

Answer 1

@dan815
@jim_thompson5910

Answer 2

@confluxepic
@wio

Answer 3

can you help me?

Answer 4

@surjithayer

Answer 5

@openstudier101x are you helping me?

Answer 6

1. The area of a trapezoid is a+b/2 times h (where a and b are side lengths and h is the height). First, we need to find the length of the base, which is not given “directly” but portions of the sides are given:
Based on the diagram, we can assume that the center quadrilateral within the trapezoid is a square so part of the base is 12, since we know that one “side” of the square is 12. We also know that the triangles on each side of the square are congruent (based on the diagram and since we know there is a “square” there), so the base of the other triangle (that is not given) is 2, since that is the base of the other triangle. Combine all these bases together: 2+12+2=16. So, one of our bases is 16, now you can find the area, since the height is already given as 6 as well:
a+b/2 times h=12+16/2 x 6=28/2 x 6=14 x 6=84

So, the area of the trapezoid is actually 84 centimeters, NOT 96, so the answer IS B.

Answer 7

What about the second one?

Answer 8

Working on it, wait...

Answer 9

okay thank you

Answer 10

Np :)

Answer 11

2. the “figure” shown is a sector, so find the area of the sector. The formula for the area of a sector is the measure of the arc over 360 times pi r squared (area of a circle).

Answer 12

48.01

Answer 13

is that correct?

Answer 14

...Oops sorry, had a major typo, you only need the central angle measure for the area of a sector, not the arc measure.

Answer 15

...So, it is actually about 24.03, or 24.0.

Answer 16

Okay, so i am correct for that one?

Answer 17

...Sorry @KimberlyAlice , that was a bit of a typo haha, yes you are right for this one :)

Answer 18

...on to number 3 :)

Answer 19

3....Well, by the Angles Subtended by Same Arc Theorem, we know that angles formed from two points on the circumference are equal to other angles, in the same arc, formed from those two points. The angle measure needed, x, and the angle measuring 60 concur to this theorem. So, the two are congruent. Therefore, angle x is 60 degrees, so you are correct: the answer is B.

Answer 20

can you check one last one for me?

Answer 21

I think this one is B. 24

Answer 22

Sure :)

Answer 23

...I can help :) Let me check...

Answer 24

Thank you!

Answer 25

...Well, it is stated that there is a chord, secant, and tangent to the circle. Based on the diagram, we can see that the tangent to the circle is the side with a measure of 18. So, since we know it is a tangent, we now that the side measuring 18 forms a right angle at the point of tangency. Therefore, you could imagine the “triangle” formed by the sides measuring 18, “x”, and the secant with the sides combined as 3 and 12. So, to solve for x, use the Pythagorean Theorem.

Answer 26

C=24

Answer 27

No, C is NOT 24

Answer 28

@KimberlyAlice
Here is why:
Since 3 and 12 are segments of the secant, find the complete length of the secant (which is also a “side” of the right triangle) by adding 3 and 12:
3+12=15.
Now we can use the Pythagorean Theorem since we know two side lengths of the right triangle:
15 squared + x squared = 18 squared
18 squared - 15 squared = x squared
324-225= x squared
99 = x squared

Answer 29

So what is the square root of 99?

Answer 30

9

Answer 31

Correct, so the answer is actually C. :)

Answer 32

Thank you!!!

Answer 33

No problem, and nice job @KimberlyAlice ! :)...happy studying! :)

Answer 34

no 1 correct 96