Step-by-step explanation:
Triangle PQR is in a coordinate plane. The triangle is reflected across the y–axis and
then translated 11 units left to form Triangle P'Q'R'. Determine which of the following statements must be true regarding this transformation. Select True or False for each statement.
Angle P has the same measure as angle P'. T or F
Angle Q has the same measure as angle R'. T or F
Angle R has the same measure as angle R'. T or F
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Answer:
the answer is 10
Step-by-step explanation:
Answer:
First car: 30 gallons
Second car: 35 gallons
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
Total gas consumption was 65:
x+y=65
Where:
x = gallons consumed by the first car
y = gallons consumed by the second car
The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas, the two cars went a combined total of 1650 miles:
x 20+y 30 = 1650
The system is:
x+y=65 (1)
x 20+y 30 = 1650 (2)
Isolating y on (1)
y = 65-x
Replacing y= 65-x on (2):
x 20+(65-x)30 = 1650
20x +1,950-30x= 1650
20x-30x= 1650-1950
-10x= -300
x= -300/-10
x = 30 gallons
Back to (1)
y =65-x
y =65-30
y= 35 gallons
Feel free to ask for more if needed or if you did not understand something.
<u>Given </u><u>:</u><u>-</u>
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
- To solve for x and find the value of y at the given values of x .
<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>
The given equation to us is ,
4y = 5x -8
y = 5x-8/4
At x = -2 ,
y = 5(-2) -8/4
y = -10-8/4
y = -18/4
y = -9/2
At x = -1 ,
y = 5x -8/4
y = 5(-1) -8/4
y = -5-8/4
y = -13/4
Let c be the hypotenuse in miles.
72 + 92 = c2
49 + 81 = c2
130 = c2
130‾‾‾‾√ = 2‾‾√
130‾‾‾‾√ = c
11.4 ≈ c
The path along Riverside Drive is shorter, about 11.4miles, compared to the path along Cypress and Control Avenues, 16 miles. The difference is about 4.6 miles. The Pythagorean theorem allowed me to calculate the distance along Riverside Drive because the three roads from a right triangle.