Answer:
Step-by-step explanation:
The figures dont have enough letters to explain step by step all the exercises.
Bread 1:
The horizontal lines are parallels so both angles must be the same
2x + 21 = 4x - 17
21 + 17 = 4x - 2x
38 = 2x
x = 19
Bread 2:
Angles sum 180°
3y - 5 + 2y - 25 = 180
5y - 30 = 180
5y = 180 +30
5y = 210
y = 42
Bread 3:
Angle ABC is the same as the other 2, since x = 19
ABC = 2x + 21
ABC = 2 * 19 + 21
ABC = 59
Bread 4:
Angle ABC is the same as 3y - 5, y = 42
ABC = 3y - 5
ABC = 3 * 42 -5
ABC = 121
Bread 5:
Angles must be the same
5x - 14 = 2x + 13
5x - 2x = 13 + 14
3x = 27
x = 9
Bread 6:
Angle ABC = 5x - 14 , x = 9
ABC = 5 * 9 - 14
ABC = 31
If you need to understand why the angles must be the same just comment and I will give you more details
Answer:
.8
Step-by-step explanation:
S= studies for
B= score of b or higher
we want P(S|B)
Using Bayes' theorem we can solve for the probability

Let the positive odd numbers be x,x+2,x+4.
According to the question,
5(3x+30)=72+x^2+4x
x^2-13x+42=0
(x-6) and (x-7)=0
x=6 or x=7
Answer:
the center is (-4,7) and the radius is 3
Step-by-step explanation:
The center of a circle can be found using the equation
and is (h,k) from it. Notice h and k are the opposite value as in the equation.
First write the equation in this form.
Complete the square with each variable to find what numbers should go in place of the question marks.
Add 16 and 49 to both sides of the equation.
So the center is (-4,7) and the radius is 3.