Answer:
z = 66
Step-by-step explanation:
QT is a midsegment. Thus, applying the midsegment theorem:
RS = 2(QT)
QT = z - 33,
RS = z
Plug in the values into the equation
z = 2(z - 33)
z = 2z - 66
Subtract 2z from each side
z - 2z = -66
-z = -66
Divide both sides by -1
z = 66
A) Tonya bought 3 games at X price, so 3X would be total amount.
B) Tony's cost was 0.50 less than X, so x-0.50, he bought 4 games, so he spent 4(x-0.50).
C) Set those to equal to solve for x:
3x = 4(x-0.50)
D) Solve:
3x = 4(x-0.50)
Distribute:
3x = 4x - 2
Subtract 4x from both sides:
-X = -2
Multiply both sides by -1:
X = 2
E) Since X is the amount Tonya paid per game, Tony paid X - 0.50, so Tony paid 2 - 0.50 = $1.50 per game.
Check:
Tonya: 3x = 3(2) = $6 total
Tony: 4(x-0.50) = 4(2.00 - 0.50) = 4(1.50) = $6 total
38 quarts because four quart equals one gallon.
We have a line passing through 3 points. We can use the first
two points to find the equation of the line.
(6,3), (8,4)
slope m = (4-3)/(8-6) = 1/2
We can use the point slope form y-y1 = m(x-x1) or
the slope intercept form y = mx + b
to find the equation of the line.
Let's take the point (6,3) and use y = mx + b to find b
y = 3, x = 6, m = 1/2
3 = (1/2)(6) + b
3 = 3 + b
0 = b
The equation of our line is y = (1/2)x
We have a line of equation y = (1/2)x going through point (n,-2)
Plugging in we have: -2 = (1/2)n
2(-2) = n
-4 = n
Your answer is n = -4
NOTE: looking at the 3 points as given initially: (6,3), (8,4), (n,-2)
We can see that 3 = (1/2)6 and 4 = (1/2)8 so -2 = (1/2)n makes sense
Hope this helps you :)
so if diane drives for 2 hours, she travels about 100 miles. if she drives for 4 hours, she drives about 200 miles. if we subtract 20 from each of these, we get 80 and 180. the answer is A.
