1. In a class of x children, 16 boys. What fraction of the class are boys.
2. Inside a stable there are h horses. 6 of them are taken out of the yard to exercise. How many are left in the stable.
3. There are b people on a bus. At the next stop, 7 get off and 10 more get on. How many people are on the bus now?
Step-by-step explanation:
Right angle = 90°
(x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90, x = 29.
Supplementary angles = Angles that add up to 180°.
x + (x + 104) = 180
2x = 76, x = 38.
Answer:

Step-by-step explanation:
Since we're dividing the polynomial by
, we'll be using -1 to start the division.
Before setting the division up, let's list the coefficients of
from descending powers and the constant.
The coefficient of
is 3
Since we don't see an
, the coefficient will be 0.
The coefficient of
is 5.
Lastly, the constant, which is the term without the
is -1.
Refer to the attached picture before continuing.
After referring to the picture, we now have the coefficients for the quotient.
The coefficient of
is 3.
The coefficient of
is -3.
The constant is 8.
Lastly, since the last number is not zero, it's the remainder just like regular division. This can be tricky to remember, but -9 is not the actual remainder.
The remainder is actually
.
Now putting all the pieces together, we get:

Answer:
m∠k = 60°
Step-by-step explanation:
- an exterior angle of a triangle is equal to the sum of the opposite interior angles
4x + 2 + 6x - 12 = 130
to find x:
4x + 2 + 6x - 12 = 130
4x + 6x = 130 - 2 + 12
10x = 120
x = 120/10
x = 12
apply the value of x to find the measure of angle K:
k = 6*12 - 12 = 60