Answer:
x = 25 degrees
Step-by-step explanation:
So we know that the 4x, 2x + 10°, and x - 5° and the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180°.
Using this, we can conclude that the sum of 4x, 2x + 10°, and x - 5° is equal to 180°.
We can write this information as the equation:
4x + (2x + 10) + (x - 5) = 180
We can use this equation to find the value of x. To find the value of x by using the equation, we need to solve for x (put the equation into the form x = _).
Solve for x:
4x + (2x + 10) + (x - 5) = 180
4x + 2x + 10 + x - 5 = 180
Combine like terms.
7x + 5 = 180
Subtract 5 from both sides to get rid of the +5 on the left side.
7x = 180 - 5
Simplify.
7x = 175
Divide both sides by 7 to get rid of the coefficient of 7 on the left side.
x = 175 ÷ 7
Simplify.
x = 25.
x would be equal to 25°.
x = 25 degrees
I hope you find this helpful. :)
Based in the given figure, we are being asked to solve the area and the perimeter of the semicircle. As we evaluate the problem, we can get a radius measurement from the rectangle. Hence, the radius is half of 4 inches which is 2 inches and since we know the formula for solving the area of a circle which is Area = pi*r², dividing the result by two, we able to get the area of the half of a circle which is equivalent to the area of the semicircle.
Area of circle = pi*r²
Area of circle = 3.14*(2)² = 12.56
Therefore, area of semicircle is = (1/2) 12.56
Area of semicircle = 6.28 inches²
Solving for the perimeter:
Semicircle Perimeter = 1/2 * pi* d+d where d is the diameter (diameter = 4 inches)
Semicircle Perimeter = 1/2 * 3.14*4+4
Semicircle Perimeter = 10.28 inches
Answer: 7
Step-by-step explanation: 26/2 = 13 _+6=13? 7
Simple.....
you have
to find what a is....simplify/multiply both sides....
simplifying it too....
18=7a
Thus, your answer, C.
