Answer:
C. 
Step-by-step explanation:
Angle 6 and angle with measure 45° are vertical angles (opposite angles whan two lines intersect). By Vertical Angles Theorem, vertical angles are congruent, so
Angle 6 and angle with measure 
are the same side interior angles when two parallel lines are cut by transversal. The same side interior angles add up to 180°, then
Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:
30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.
Remaining length of board = 72 - 59.25 = 12.75 inches.
Therefore, there will be 12.75 inches remaining of the board.
Answer:
(x+3)^2 + (y-7)^2 = 2^2
Step-by-step explanation:
Follow the standard form of a circle, (x-h)^2 + (y-k)^2 = r^2, given that (-3,7) is (h,k) and 2 is r.
Answer:
3 inches
Step-by-step explanation: An equilateral triangle means all 3 sides are the same length.
A square also have the same length for all 4 sides.
So each side of the square is 6cm, to find the perimeter you do 6*4=24.
then divide the square's perimeter by 3 since triangle have 3 sides. 24/3=8
so each side of the triangle will be 8cm
Let's compare apples to apples and oranges to oranges: convert each given proper fraction into its decimal counterpart:
3 63/80 => 3 .788 approx.
3 1/5 => 3.2
3 11/20 => 3.55
It's now an easy matter to arrange these numbers from least to greatest:
3.2, 3.55, 3.79, or
3 1/5, 3 11/20, 3 63/80
