Angl G = angle I because of alternate interior angle theorem
the triangle JHG is congruent to the triangel JFI because the corresponding angles F and J equal with J and H in the other triangle and the sides between them are equal FJ and HJ
therefor GJ = IJ because of the congruence
Answer: 3n ×9
Step-by-step explanation:
The product of 3 times a N number equals 3n or 3 ×N but you should write 3n then times it by 9
T = 5.34 + 0.78m
T = 5.34 + 0.78 * 5
T = 5.34 + 3.9
T = 9.24
Tina was charged $9.24 at the car wash for 5 minutes.
Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
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Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
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Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
Ok to solve this just write it out how it sounds, like so.
3x/4
-16
Hope this helps!=)
