Answers:
u = 18
v = 20
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Work Shown:
The leg YZ is congruent to the left FH
This means YZ = FH and that leads to u+v-18 = 10u-8v
The hypotenuse ZX is congruent to the hypotenuse HG
This means ZX = HG and we get the equation 14v-14u+32 = v+u+22
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The system of equations we have so far is
u+v-18 = 10u-8v
14v-14u+32 = v+u+22
Let's get the equations into standard form
Start with the first equation
u+v-18 = 10u-8v
u+v = 10u-8v+18
u+v-10u+8v = 18
-9u+9v = 18
-9(u-v) = 18
u-v = 18/(-9)
u-v = -2
Note how we can solve for the variable u to get
u = v-2
which we'll use later
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Let's get the other equation into standard form as well
14v-14u+32 = v+u+22
14v-14u-v-u = 22-32
-15u+13v = -10
Now plug in u = v-2 and solve for v
-15u+13v = -10
-15(v-2) + 13v = -10
-15v+30+13v = -10
-2v+30 = -10
-2v = -10-30
-2v = -40
v = -40/(-2)
v = 20
Which means,
u = v-2
u = 20-2
u = 18
Answer:
Step-by-step explanation:
line up your givens like this:
1, 575 visitors 100%
? adults 56%
? teeenagers 16%
? children. 28%
cross-mulyiply
adults*100 = 1,575*56
teens*100 = 1,575*16
children*100 = 1,575*28
divede each side by 100
adults= 1,575*56/100
teens = 1,575*16/100
children= 1,575*28/100
solve
adults= 882, teens = 252, children= 441
twenty-five multiplied by three.
Answer:
r = -6
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept.
Slope 3/4
This means that 
, and thus:
(6,3)
This means that when 
. We use this to find b. So
So
(-6, r)
r is y when 
. So
So r = -6.
