Answer:
3 hours
Step-by-step explanation:
The rate of bus is 50
The rate of car is 55
Which means, per hour, the Car catches up by 55 - 50 = 5 miles
Since, the car starts AFTER the bus has already travelled 15 miles, the CAR IS BEHIND by 15 miles. To catch up these 15 miles (at the rate of catching up 5 miles per hour), the car would need:
15/5 = 3 hours to catch up with the BUS
<u>Note:</u> we use the formula
d = rt
where d = distance
r is rate
t is time
Thus, we had:
d = rt
t = d/r
t = 15/5
t = 3
Thus, after 3 hours, the car with catch up with the bus
Answer:
x = -2, y = 3
Step-by-step explanation:
2x + 3y = 5
5x - 2y = -16
In order to find the value of a variable, we must eliminate the other variable by multiplying the equations to get the same coefficient.
We can multiply the first equation by 5 and the second one by 2 to get the same coefficient for x, the equations then become:
10x + 15y = 25
10x - 4y = -32
Now we can subtract:
19y = 57
y = 3
Since we know the value of y, we can substitute it into one of the original equations:
2x + 3(3) = 5
2x + 9 = 5
2x = -4
x = -2
Answer:
the middle one because HL is hypotenuse-leg and the middle one is the one that has a congruent hypotenuse and a congruent leg
(HL theorem only works with a right triangle)
Step-by-step explanation:
Answer:
x=7 multiplicity of 2
Step-by-step explanation:
14x - 49 = x^2
Subtract x^2 from each side
-x^2 +14x - 49 = x^2-x^2
-x^2 +14x - 49 = 0
Multiply by -1
x^2 -14x +49 =0
What 2 numbers multiply together to give you 49 and add together to give you -14
7*-7 = 49
-7+-7 = -14
(x-7) (x-7) = 0
Using the zero product property
x-7 = 0 x-7 =0
x-7+7= 0+7 x-7+7 =0+7
x =7 x=7
Answer:
A
Step-by-step explanation:
Well B is strange. You might get them to make one complementary angle, but that has nothing to do with the Triangle sum theorem.
C is true. He is getting similar triangles, but that does not prove the Triangle sum theorem. So -- don't choose C
D is just taking up space so you get 4 choices.
The answer should be A but the problem is the tips of the angles should all come to the same place. I think it does mean A, but it is a bit awkwardly worded.