Answer:
Step-by-step explanation:
The sum of angles in a triangle is 180 degrees. So the third angle in the triangle is
90+32+a=180
a+122=180
a=58
Now angle x is adjacent to angle a so their sum must equal 180 degrees so
x+58=180
x=122 degrees
Area of a circle=πr²
area of this cirlce=π*(12 ft)²=144π ft²≈452.39 ft².
answer 1= the area of this circle is 452.39 ft².
Perimeter of a circle=2πr.
Perimeter of this cirlce=2π(12 ft)=24π ft≈75.4 ft
<span>answer 2= the perimeter of this cirlce is 75.4 ft.</span>
Answer:
25 girls
Step-by-step explanation:
Let
x denote number of boys
and
y denote number of girls
According to the statement that total 45 people came,
x+y = 45 => Eqn 1
And total paid amount was 175
So,
5x + 3y = 175 => Eqn 2
For solving, We will use the substitution method
So, from eqn 1
x = 45-y
Putting value of x in eqn 2
5(45-y) +3y = 175
225 - 5y + 3y = 175
-2y+225 = 175
-2y = 175-225
-2y = -50
2y = 50
y = 25
Putting y =25 in eqn 1
x+25 = 45
x = 45 - 25
x = 20
As y= 25
So, 25 girls came to the dance ..
It's 154.687 because first you have to line up the dot which is call and. And you going to add your place holder which is a 0 next to the 2 and the you times
The equation of the line is 
Explanation:
The equation of the line is perpendicular to 
The equation is of the form 
where m=-14
<u>Slope:</u>
The slope of the perpendicular line can be determined using the formula,
Thus, the slope of the line is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the slope and the point (2,-4), we get,
Simplifying, we get,
Thus, the equation of the line is
