They are similar. Set the proportions equal to each other
(x + 8)/8 = (x+14)/12
Cross multiply
(x + 8)/8 (8)(12) = (x + 14)/12 (12)(8)
12(x + 8) = 8(x + 14)
Distribute the 12 and 8 to the corresponding monomials inside the parenthesis
12(x + 8) = 12x + 96
8(x + 14) = 8x + 112
12x + 96 = 8x + 112
Isolate the x. Subtract 8x from both sides and 96 from both sides
12x (-8x) + 96 (-96) = 8x (-8x) + 112 (-96)
12x - 8x = 112 - 96
4x = 16
Isolate the equal sign. Divide 4 from both sides
4x/4 = 16/4
x = 16/4
x = 4
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4 is your answer for x
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hope this helps
Hey there! :D
So, basically, you could say that "x" is equal to both of the legs.
We also know that in 45-45-90 triangles, x*√2= the hypotenuse
Given this information, if we were to divide 10 by the √2, we would get:
10/√2= 7.071.....
5√2= 7.071....
5√2 is the answer.
I hope this helps!
~kaikers
Answer:
Step-by-step explanation:
.
a. Yolanda only wins if the cup lands upright.
From the experimental data we see that the probability of winning is 5 out of 50, or
10%. Therefore, if Yolanda plays 10 times she can expect to win 10% of 10 times = 1
time. She will lose 9 times. (Note: Ten trials is a very small number of trials, so we should not be surprised if Yolanda’s results are very different from the percentages
produced by the longer experiment.)
b. If Yolanda wins 1 time and plays 10 times, she will have spent $10 to play and won
back only $5, so she would have less money at the end of 10 games.
Answer:155in^2
Step-by-step explanation:
Area of the poster board that she has left=Area of ||gm- area of ∆
Area of the poster board that she has left= 10*20-1/2*9*10
Area of the poster board that she has left=200-45=155in^2
