Answer:
200
Step-by-step explanation:
Please refer to the attachment(s) for explanations
Answer: The driver has $95.25 after the last ride.
Step-by-step explanation: First we need to know how much money he recieved from each ride. Multiply 3.5 with each number.
$3.5 x 10 = $35
$3.5 x 5.5 = $19.25
$3.5 x 19 = $91
Now add them up.
$35 + $19.25 + $91 = $145.25.
However, he spends $50 on gas. So subtract $145.25 and $91.
$145.25 - $91 = $95.25.
Therefore, the driver has $95.25 after the last ride.
Applying parallel line postulate twice
36degree=3x degree +2y degree
126 degrees=12 x degree + 2y degree
So, the two equations are:
3x + 2y = 36
and
12x + 2y = 126
Eliminate x to solve for y
-(3x + 2y)= -(36)
-3x - 2y = -36
Combine the equations
(-3x - 2y)+ (12x + 2y) = (-36) + (126)
-3x -2y + 12x + 2y = -36 + 126
9x = 90
x = 10
Plug value of x back into to the equations to solve for y
3(10) + 2y = 36
30 + 2y = 36
2y =6
y = 3
Optional
Plug x into the other equation to check for error
12(10) +2y = 126
120 + 2y =126
2y = 6
y = 3
*see attachement for the triangles given
Answer:
PQ = 6.8
Step-by-step explanation:
Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:
LN/OQ = MN/PQ
LN = 5
OQ = 17
MN = 2
PQ = ?
Plug in the values
5/17 = 2/PQ
Cross multiply
5*PQ = 2*17
5*PQ = 34
PQ = 34/5
PQ = 6.8
