Triangles IJK and LMN are similar. Then, the proportion between their similar sides must be equal. That is:
IJ/ML = JK/MN = IK/LN
where:
IJ = x
JK = 54
IK = y
MN = 42
ML = 28
NL = 35
In order to find the value of y, you consider the equation JK/MN = IK/LN, and solve for y, just as follow
JK/MN = IK/LN replace by the values
54/42 = y/35 multiply both sides by 35
(54/42)(35) = y
45 = y
Hence, y = 45
I got 20,737 but I could be wrong so I will attach my algorithm and work.
2x+8 = 8(x-5)
expand the rhs to get
2x+8 = 8x-40
now we minus 2x and add 40 to make one side without the unknown and the other with the unknown. you have
48 = 6x
x = 48/6
= 8
Answer:
158.11
Step-by-step explanation:
Let's solve your equation step-by-step.
24(log(2x))=60
Step 1: Divide both sides by 24.
24(log(2x))
/24
=
60
/24
log(2x)=
5
/2
Step 2: Solve Logarithm.
log(2x)=
5
/2
10log(2x)=10
5
/2
(Take exponent of both sides)
2x=10
5
/2
2x=316.227766
2x
/2
=
316.227766
/2
(Divide both sides by 2)
x=158.113883
Answer:
x=158.113883