Answer:
see below
Step-by-step explanation:
butterfly = x minutes
breast = y minutes
total is 50 minutes
breast stroke = butterfly +20
Part A
x+y = 50
y = x+20
Part B
Substitute the second equation into the first
x+ (x+20) = 50
2x+20 = 50
2x+20-20 = 50-20
2x = 30
2x/2 = 30/2
x = 15
y = x+20
y = 20+15
y = 35 minutes
35 minutes on the breast stroke
Part C
45 minutes on the butterfly is not reasonable
We only have a total of 50 minutes
50-45 = 5
But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.
Answer:
Step-by-step explanation:
We have been given that line m is parallel to line p, 
and 
.
Since line m is parallel to line p and EJ is a transversal, so measure of angle EJG will be 39 degrees as angle EJG is alternate interior angle of angle HEF. Both angles are inside parallel lines m and p and on opposite side of transversal EJ.
We can see that angle EFG is exterior angle of triangle GFJ. Since the measure of an exterior angle of a triangle equals to the sum of the opposite interior angles.
We can see that angle IGF and angle EJG are opposite interior angles of angle EFG.
Upon substituting our given values we will get,
Therefore, measure of angle EFG is 52 degrees.
Answer: 20
H(c) = 6.4 + 0.6c
<u>6.4</u> is the constant.
When the height of the cups is <u>18.4</u> the function is:
18.4 = 6.4 + 0.6c
Then, you add <u>6.4</u> from both sides
18.4 - 6.4 + 6.4 = 6.4 + 0.6c - 6.4 + 6.4
Simplify
18.4 = 6.4 + 0.6c
Switch sides
6.4 + 0.6c = 18.4
Multiply both sides by <u>10</u>
6.4 x 10 + 0.6c x 10 = 18.4 x 10
Refine
64 + 6c = 184
Subtract <u>64</u> from both sides
64 + 6c - 64 = 184 - 64
Simplify
6c = 120
Divide both sides by <u>6</u>
6c/6 = 120/6
c = <u>20</u>
Step-by-step explanation:
h(x)=-x-4
but h(x)=4
4=-x-4
x=-4-4
x=-8
The y is going to be 165 if the x is 54 because you need to multiply by 3 each time.
