Answer:
he will owe $1,047 in total and $97.37 in interest
Answer:
6.2 units.
Step-by-step explanation:
We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.

Cross multiplying and solving will get you this:

Which can simplify to:

Which putting into a calculator gets you:

So the line PR is 6.2 units long.
We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).
15*-4 = -60
Now we need to split the b term into two pieces that multiply to -60 and add to 4.
-6 and 10 will work.
Now group one part of b with the 15x^2 and the other part with -4.
(15x^2 + 10x) + (-6x - 4)
Now factor both terms.
5x(3x+2) - 2(3x+2)
3x+2 is one of our factors and 5x-2 is the other.
(3x+2)(5x-2)=0
Now just find the zeros.
3x+2 = 0
3x = -2
x = -2/3
And
5x-2 = 0
5x = 2
x = 2/5
So the answer is x = -2/3 and x = 2/5
Answer:
The probability is either 2 but mostly 3 boys.
Step-by-step explanation:
Let Angle A = X
Since Angle B is the same, angle B is also X
Then angle C = X +45
Add the 3 angles together: X +X +X +45 = 3x+45
That equals 180 degrees:
3x+45 = 180
Subtract 45 from both sides:
3x = 135
Divide both sides by 3:
X = 135/3
X = 45
Angle A = 45
Angle B = 45
Angle C = 45+45 = 90