Answer:
a=8
b=17
Step-by-step explanation:
Isoceles means we will have 2 congruent sides in this triangle.
So it appears we are to assume it is sitting on its base which means that other side has measurement ax+9 as well
So we have the sum of the 3 sides is the perimeter.
That means we have the equation:
(ax+9)+(ax+9)+(4x+b)=20x+35
Combine like terms:
(a+a+4)x+(9+9+b)=20x+35
(2a+4)x+(18+b)=20x+35
This implies 2a+4=20 and 18+b=35.
2a+4=20
Subtract 4 on both sides:
2a=16
Divide both sides by 2:
a=8
18+b=35
Subtract 18 on both sides:
b=17
So a=8 and b=17.
So 16=heads
18=tails
after you add some tails
18+x
ratio of heads to tails is 1:1.5
heads=16, didn't change
tails=18+x
so
1:1.5=16:18+x
fractionify
1/1.5=16/(18+x)
1/1.5=2/3
2/3=16/(18+x)
mutiply both sides by (3)(18+x)
2(18+x)=3(16)
36+2x=48
subtract 36 from both sides
2x=12
divide 2
x=6
6 tails added
total=heads+tails
heads=16
tails=18+6=24
total=16+24
total=40
6 tails added
40 total coins
Evaluating each expression means to simplify the expression down to it's simplest form.
Based on her results, if she flipped the coins another 50 times, she should expect to flip heads 20 times. If Jessica flips a coin 100 times and gets 40 times heads and the next time she flips a coin 50 times she should get 20 because, 100 divide 2 is 50 so you would have to divide 40 with 2 and get the answer of 20.
