Answer:
(7, 6)
Step-by-step explanation:
multiply first eq. by 3 to get 6x - 3y = 60
now do
6x + 3y = 60
- 6x - 5y = 12
--------------------
8y = 48
solve for y: y = 6
with this y value, plug it in to the first equation (easier to solve) and get 2x + 6 = 20
solve for x and get x = 7
so ans is (7, 6)
57/ 3591
= (57/57) / (3591/57)
= 1/63
The final answer is 1/63~
9514 1404 393
Answer:
a) 2
b) left: 3; lower right: 5
c) upper right: 53°; bottom: 82°
Step-by-step explanation:
<h3>3.</h3>
a) The top side of polygon B is 5 units; the corresponding top side of polygon A is 2.5 units, so the dimensions of polygon A are multiplied by the scale factor 5/2.5 = 2 to give the dimensions of polygon B.
the scale factor is 2
__
b) Sides of polygon B are 2 times the length of the corresponding side of polygon A.
left side: 2×1.5 = 3
lower right side: 2×2.5 = 5
__
c) Corresponding angles of similar figures are congruent.
upper right angle: 53°
bottom angle: 82°
___
4.
The arithmetic of problem 4 is correct as shown.
Answer:
Answer is D (got it right on plato)
Step-by-step explanation:
There are 4 of each king and queen in each standard deck of 52 cards.
4+4=8
8/52=0.1538 or 15.38%
Twenty cards are chosen from a pack of cards at random
In A there are 0 kings and 1 queen
0+1= 1; 1/20=.05 or 5%
In B there are 2 kings and 4 queens
2+4=6; 6/20=0.3
In C there are 0 kings and queens
0/20=0
In D there are 2 kings and 1 queen
2+1= 3; 3/20=0.15 or 15%
D is your answer because it is the closest to the probability (0.1538 or 15.38%)
