Find the length of each hypotenuse such that KMN = LMN
1 answer:
If triangle KMN is congruent with triangle LMN, then:
1) KM must be congruent with LM→KM=LM→
x+2y=3x-y→x+2y-x-2y=3x-y-x-2y→0=2x-3y→2x-3y=0 (1)
2) KN must be congruent with LN→KN=LN→
5x+3y=8x-7→5x+3y-5x-3y+7=8x-7-5x-3y+7→7=3x-3y→3x-3y=7 (1)
We have a system of two equations and two unkowns:
(1) 2x-3y=0
(2) 3x-3y=7
Subtracting equation (1) from equation (2)
(3x-3y)-(2x-3y)=7-0
3x-3y-2x+3y=7
x=7
Replacing x=7 in equation (1)
(1) 2x-3y=0→2(7)-3y=0→14-3y=0→
14-3y+3y=0+3y→14=3y→14/3=3y/3→14/3=y→y=14/3
The length of the hypotenuse is:
KN=5x+3y=5(7)+3(14/3)=35+14→KN=49
or
LN=8x-7=8(7)-7=56-7→LN=49
Answer: Option C. 49
You might be interested in
A)8*2-4 b)6*5+2+24*5 c)7*2(5-2) d)3(9+5)
12 30+2+120 14*3 3*14
152 42 42
i hope it helps
<span>common difference for the sequence = 1/16
cause
1/4 = 4/16
and
3/8 = 6/16
so
4/16 + 1/16 = 5/16
5/16 + 1/16 = 6/16
</span>
Answer:
1) The store selling for 1.1 per 3 lbs
2) $6.24
Step-by-step explanation:
1)
1.1/3 = 0.37
0.78/2 = 0.39
0.37 is cheaper so it's a better deal
2)
I think it would be <span>51 and 1/3, but I'm not sure</span>
553,000 is the answer for rounding up
