Answer:
y = 52 degrees
x = 7 degrees
Step-by-step explanation:
Hello! So, we can first easily find out the measurement of y because of the Base Angles Theorem.
[ The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. ]
- www.ck12.org
So basically, in an iscoceles triangle, the base angles are equal so therefore, y = 52 degrees
Now we have to solve for x. We know that the sum of the angles in a triangle are 180 so we have to make an equation:
52 + y = 14x + 6 {<em>We know that y is 52 degrees so we should plug that in</em>}
52 + 52 = 14x + 6 --> Now we should simplify:
104 = 14x + 6
98 = 14x
x = 7 degrees
1:4 400/100 and you get 1:4 ... there was 1 person at the second show for every 4 at the first
To find the time at which both balls are at the same height, set the equations equal to each other then solve for t.
h = -16t^2 + 56t
h = -16t^2 + 156t - 248
-16t^2 + 56t = -16t^2 + 156t - 248
You can cancel out the -16t^2's to get
56t = 156t - 248
=> 0 = 100t - 248
=> 248 = 100t
=> 2.48 = t
Using this time value, plug into either equation to find the height.
h = 16(2.48)^2 + 56(2.48)
Final answer:
h = 40.4736
Hope I helped :)
