Answer & Step-by-step explanation:
This can be proven with the SAS theorem (side-angle-side)
With a perpendicular bisector, the line it bisects is cut directly in half. This creates two equal sides:
and it creates two 90° angles:
∠
∠
And because of the reflexive property of congruence:
Side-Angle-Side.
:Done
Answer:
5.3
Step-by-step explanation:
Cos(68) = adjacent/hypotenuse
Cos(68) = 2/AC
AC = 2/cos(68)
AC = 5.3389343253
AC = 5.3
Answer:
56.25 pi cm^2
Step-by-step explanation:
To find the area of the circle,
we use the formula
A = pi r^2, where r is the radius
We know the diameter is 15 so we can find the radius from
r = d/2 where d is the diameter
r = 15/2
A = pi ( 15/2) ^2
A = pi ( 225/4)
A = 56.25 pi cm^2
Answer:
Rectangle A's length = 22 ft., Rectangle B's length = 44 ft.
Step-by-step explanation:
Since we know that the length of Rectangle B is twice the length of Rectangle A, we know that 2*(3x + 7) = Rectangle B's length.
We must set this equation to the dimensions already given for Rectangle B, which gives us 2(3x + 7) = 2 (5x - 3).
Using the distributive property gives us 6x + 14 = 10x - 6 and solving for x gives us x = 5.
We must plug five into the original dimensions to find that the lengths of Rectangles A and B are 22 feet and 44 feet respectively.
Simplifying
15 + -5(4x + -7) = 50
Reorder the terms:
15 + -5(-7 + 4x) = 50
15 + (-7 * -5 + 4x * -5) = 50
15 + (35 + -20x) = 50
Combine like terms: 15 + 35 = 50
50 + -20x = 50
Add '-50' to each side of the equation.
50 + -50 + -20x = 50 + -50
Combine like terms: 50 + -50 = 0
0 + -20x = 50 + -50
-20x = 50 + -50
Combine like terms: 50 + -50 = 0
-20x = 0
Solving
-20x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-20'.
x = 0.0
Simplifying
x = 0.0
