Answer:
x = 1
Step-by-step explanation:
-2x + y = 4
y = 2x + 4
2x + 3y = 20
2x + 3(2x + 4) = 20
2x + 6x + 12 = 20
8x + 12 = 20
8x = 8
x = 1
All these cases represent experiments whose outcomes are all equaly likely. What we mean is that the cards have all the same probability of being dealt (1/52), and all the spaces of the spinner have the same probability of being landed into (1/5).
These probabilities are computed as 1 over all the possible outcomes.
(a) If you want a heart card and a five, you want the 5 of hearts. So, only one card would satisfy your request, and thus you have probability 1/52 of dealing the 5 of hearts.

(b) There are four 10s and four Jacks in the deck, so 8 cards satisfy your request. With probability 8/52, you'll be dealt a Jack or a 10.

(c) You have two "good" outcomes out of 5, so your probability is 2/5.

Answer:
Step-by-step segment dc bisects segment ab, then point d is equidistant from points a and b because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects. if segment dc bisects segment ab, then point d is equidistant from points a and b because congruent parts of congruent triangles are congruent. if segment ad bisects segment ab, then point d is equidistant from points a and b because a point on a perpendicular bisector is equidistant from:
Answer: Two regular octagons and eight congruent rectangles
Step-by-step explanation:
An octagon has 8 sides and the shapes on the bottom of the shape are 8 rectangles.
Answer:
integer
Step-by-step explanation:
the slope looks like it's 4/1 when simplified it's 4. (integer)