Answer:
-37 / 4
Step-by-step explanation:
Answer:
11: x=90 and y=10
12: x=59 and y=48
14?: x = 28, y = 20 and z = 56
15: x = 4 and y = 53
Step-by-step explanation:
11: Since two sides are parallel, you can draw a transversal (a line that crosses through both) that makes sure all angles it makes are 90 degrees. (let me know if that doesn't make sense. Now you have two trapezoids. One has angle measures 90+90+90+x=360 and the other has 90+90+77+y = 360. Doing some quick algebra gets you x=90 and y=10
12: We do the same thing, transversal throught he parallel lines to get four 90 degree angles. Now 360 = 90 + 90 + 2x + 62 makes x = 59 and 360 = 90 + 90 +3 y + 42 makes y = 48
(14? the one to the left of 15): Could do the same thing to solve for x, then we need to do something different for y and z. so first 90 + 90 + 68 + 4x = 360 so x=28. Now, since this is an isosceles trapezoid it means the two top angles are equal and the two bottom angles are equal. so 68 =3y+8 so y = 20 and 2z = 4x = 4(28) makes z = 56
for 15 we'll start with y. We will call the two equal angles a, because we need to use them. Since the top and bottom parts are parallel, 106 + a = 180 and 2y + a = 180. Use a system of equations to find a = 74 and y = 53 (You just needed y of course). since 2y=106, we know that 4x=6x-8 so then we can solve for x = 4
I am not sure what the question is but here is how you use trig functions:
sine of the angle = side opposite the angle ÷ hypotenuse
cosine of the angle = side adjacent to the angle ÷ hypotenuse
tangent of the angle = side opposite the angle ÷ side adjacent to the angle
X= 9 1/4 or 9.25 in decimal form
The third choice - 65.3%.
He made 66 successful attempts out of 101 total free throws. To find the experimental probability, it will be 66 divided by 101.
66 successful / 101 total attempts = 0.6534
Rounded off to the nearest tenth of a percent - 65.3%
The experimental probability that you make a free throw is 65.3%.
