Answer:
178/7
Step-by-step explanation:
4x-7+3x+9=180
4x+3x-7+9=180
7x-7+9=180
7x+2=180
7x=180-2
7x=178
x=178/7
The lines on a basketball form a half circle at the free throw line. Use the picture to determine the area of the half circle. Round your answer to the nearest tenth.
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
The result of the log function 
is 60
According to the law of logarithm if 
then 
Given the following expressions
This can be expressed as
Substitute the value of m and n into the expression to have:
This shows that the result of the log function is 60
Learn more here: brainly.com/question/12049968
(x^2 + 3)(5x + 9)
5x^3 + 9x^2 + 15x + 27
