Answer:
2= 4 1/6
Step-by-step explanation:
draw the diagram and extend BC to D
draw AD
use the Pythagorean Theorem with triangle ADC
call AD "h"
call DC "x"
h2+x2=102
now use the Pythagorean Theorem with triangle ADB
AD=h, AB=16, DB=(x+9)
h^2+(x+9)^2=16^2
from the first equation get h^2=10^2-x^2
from the second equation get h^2=16^2-(x+9)^2
set the two right sides equal to each other because they both equal h2
10^2-x^2=16^2-(x+9)^2
100-x^2=256-x^2-18x-81
cancel -x2 from both sides
100=256-18x-81
100=175-18x
100-175=-18x
-75=-18x
18x=75
x=75/18
x=4.1666... inches or 4 1/6 inches for the length of DC
-(m-8)= -8m+29
-1(m-8)=-8m+29-------------Note: there is always an invisible 1 in front
-m+8=-8m+29---------------Subtract both sides by -8
-m=-8m+21-------------------Add both sides by +m
0=-7m+21---------------------Add +7m to both sides
7m=21 -------------------------Divide both sides by 7
m=3
Answer:
Step-by-step explanation:
