Answer:
x = 25
Step-by-step explanation:
Given:
- ∠A = ∠B (Vertically opposite angles)
- ∠A = (7x - 8)°
- ∠B = (6x + 17)°
Since ∠A is equivalent to ∠B...

Open the parenthesis:

Add 8 both sides:

Simplify both sides:

Subtract 6x both sides:

Simplify both sides:

Answer:
2 meters, cuz shovels are usually pretty long
Answer:
31.4 inches
Step-by-step explanation:
If a circle is inscribed in a square then diameter of circle inscribed is same as side as of square.
In the given problem it is given that side of square is 10 inches.
So diameter of circle inscribed is 10 inches
we know radius of circle is half of diameter of circle
Thus, radius of circle inscribed = diameter of circle/2 = 10/2 = 5inches.
Expression to calculate circumference of circle is given by 
where r is the radius of circle.
Thus circumference of circle inscribed is

Thus, circumference of circle inscribed is 31.4 inches
Answer:
the area will be increased by 44%
Step-by-step explanation:
Answer:
y = x² - 10x + 41
Step-by-step explanation:
The standard form of a quadratic is ax² + bx + c : a ≠ 0
Given
y = (x - 5)² + 16 ← expand (x - 5)²
= x² - 10x + 25 + 16
= x² - 10x + 41 ← in standard form