I believe the correct answer from the choices listed above is option A. Given a segment with endpoints A and B and the steps given above, the figure that you can construct would be a perpendicular bisector. <span>The </span>perpendicular bisector<span> of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.</span>
|DF| = |DE| + |EF|
|DF| = 9x -36
|DE| = 47
|EF| = 3x+10
Substitute:
9x - 39 = 47 + 3x + 10
9x - 39 = 3x + 57 |+39
9x = 3x + 96 |-3x
6x = 96 |:6
x = 16
Put the value of x to the equation |EF| = 3x + 10
|EF| = (3)(16) + 10 = 48 + 10 = 58
Answer: |EF| = 58
Answer:
B: 24ft^2
Step-by-step explanation:
Area of triangle = (base x height)/2
Step 1: form an equation
a = (12ft x 4ft)/2
Step 2: solve equation
a = 48ft^2 / 2
a = 24ft^2
*the base is the measurement for the bottom of a triangle while height is the measurement of the length from the bottom to the top of a triangle*
Answer:
30/169
Step-by-step explanation:
We need to know how many marbles in the bag
6 red marbles + 2 white marbles + 5 blue marbles = 13 marbles
P (red) = red / total = 6/13
We then put the marble bad so there are still 13 marbles in the bag
P(blue) = blue /total = 5/13
P (red then blue ) = P(red) *P(blue)
= 6/13 * 5/13 = 30/169
Answer:
Step-by-step explanation:
16^3 - 8^3
Take out 8^3 as a common factor.
16^3 = 2^3 * 8^3
8^3(2^3 - 1)
8^3(8 - 1) = 8^3 * 7
(4^3 + 2^3) Expand
64 + 8 Combine
72
72 = 9 * 8
Conclusion
(8*3 * 7 )(9*8)
7*9 = 63
So any number containing 63 will divide into the reduced form of
(16^3–8^3)(4^3 +2^3)
