uve prob moved bc its apex but i think either a or c
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
The value of the 5 in 581.03 is 100 times the value of the 5 in 5.472
Step-by-step explanation:
Each digit in a number has a place value.
The place value of 4 in 453.56 is hundreds (100), because 4 is in the hundred place
The place value of 2 in 1782.56 is ones (1), because 2 is in the unit place
The place value of 3 in 2.345 is tenth (0.1), because 3 is in the tenth place
∵ The number is 581.03
- Find the place of 5 in the number
∵ 5 is in the hundred place
∴ The place value of 5 is 100
∵ The number is 5.472
- Find the place of 5 in the number
∵ 5 is in the unit place
∴ The place value of 5 is 1
To find the value of the 5 in 581.03 is how many times the value of the 5 in 5.472 divide the place values of them
∵ 100 ÷ 1 = 100
∴ The value of 5 in 581.03 = 100 times the value of 5 in 5.472
The value of the 5 in 581.03 is 100 times the value of the 5 in 5.472
<span>= (37 1/2%)/100%
= (75/2)/100
= 75/200 or (75/25)/(200/25)
= 3/8
Answer: 3/8</span>
