Answer:
x=28
Step-by-step explanation:
We can use similar triangles and proportions to solve this problem. Put the side of the small triangle over the same side of the larger triangle.
x 42
---------- = ----------
x+10 42+15
Simplify
x 42
---------- = ----------
x+10 57
Using cross products
57x = 42 (x+10)
Distribute
57x = 42x+420
Subtract 42x from each side
57x-42x = 42x-42x +420
15x = 420
Divide each side by 15
15x/15 = 420/15
x=28
Hello.
The answer is choice A. angle 1 = 118, angle 2 = 118
Explanation:
The four angles above are congruent (meaning the same) to the ones beneath.
Angles 1 and 2 are also congruent, so they will measure the same.
Lets label the angles above A, B, C, D. B being the known angle, which is 118°. The angles beneath can be labelled E, F, G, H.
∠B ≅ ∠D
∠ABCD ≅ ∠EFGH
∠BD ≅ ∠FH
FH (or 1 and 2) equal 118.
Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
Answer:8% discount will be given
Step-by-step explanation:
Answer:
d = 28
r = 14
r² = 196
C = 87.92
Step-by-step explanation:
Given:
r = 14
To find diameter:
d = 2r
d = 2(14)
d = 28
To find r²:
14²
196
Circumference:
C = 2πr
C = 2(3.14)(14)
C = 87.92
