Answer:
ΔNLM is congruent to ΔXZY
Step-by-step explanation:
Since m∠L = m∠Z, then L ↔ Z
Since m∠N = m∠X, the N ↔ X
That leaves M ↔ Y
So ΔNLM is congruent to ΔXZY
1. Let the shorter piece be x in. long
the longer piece will be x + 13 in. long
and the two pieces add up to be 47 in., so
x + ( x + 13 ) = 47
2x = 47 - 13
2x = 34
x = 17
the longer piece is x + 13 in. long,, or 17 + 13 = 30 in. long
2. number of dimes: x
number of quarters: y
x + y = 27....(1)
10x + 25y = 405...(2)
(1)*10: 10x + 10y = 270....(3)
(2) - (3):15y = 135
y = 9
plug y = 9 into (1), you will find that x = 18
so 18 dimes, 9 quarters
Each boy would get 1/8 of each pizza because there are 8 boys on the team. So you would divide each pizza into eighths. Hope this helps!
Answer: 1111/ 1111/ 1111/ 1111/ 1111
Step-by-step explanation: