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Answer:
The solution is (0, 4)
Step-by-step explanation:
Please pay attention to the first two equations and drop the last two:
12x−5y=−20 y=x+4 x=x=x, equals y=y=y should ideally be:
12x−5y=−20
y=x+4
Let's find x. Substitute x + 4 for y in the first equation, obtaining:
12x - 5(x + 4) = -20
Carrying out the indicated multiplication, we get:
12x - 5x - 20 = -20, or 7x = 0
If x = 0 then y must be 0 + 4, or 4.
The solution is (0, 4)
Answer:
The angles are vertical
Step-by-step explanation:
x+42+2x+1=180
put the like terms together i.e 2x+x+42+1=180
you get: 3x+43=180
Take 43 to th other side of 180 i.e 3x=180-43 i.e (180-43=137)
You get 3x=137
Divide both sides by 3
you get x=45.666666666667(Round off to get 45.67)
Substitute the value of x to the angles
x+42(45.67+42=87.67)
2x+1(2(45.67)+1=92.34
Add 87.67+92.34=180
THis shows that the angles are vertical
Answer:
In 10 seconds, the garden hose will emit 15 quarts of water.
Step-by-step explanation:
The amount of water emitted by the garden hose over time can be expressed as a ratio: 9/6, or 9 quarts of water for every 6 seconds of time. We can then simplify this ratio to 3/2, or 3 quarts of water for every 2 seconds of time. Since the ratio will remain constant, or the same, over time, we can set up an equivalent ratio, or fraction to find the amount of water emitted in 10 seconds: 3/2 = x/10. We look at the denominators and see that 2 x 5 = 10. In order to make the ratios equivalent, we would also multiply the numerator by 5: 3 x 5 = 15, which gives us the amount of water emitted in 10 seconds.
Answer:
C. 72 sorry if its wrong
Step-by-step explanation:
trapezoid formula : A= 1/2h(B+b)
plug in:
A= 1/2×6(10+14)
A= 3(24)
A= 72