Angle AEB and angle CED are vertical angles, this means they equal each other, therefore we set their values as an equation and solve:
5x-10=3x+40
Subtract 3x to both sides
2x-10=40
Add 10 to both sides
2x=50
Divide both sides by 2
x=25
After we have gotten the value of x we can plug it in into the equation of angle AEB:
5x-10
Substitute x by 25
5(25)-10
Distribute
125-10
Substract
115
The measurement of angle AEB is 115
Hope it helped!, have a great day.
I think its irrational bc if you put it as the squareroot of 329, it results in neverending decimals.
18^2=324+5=329
Answer:
It is +2 or since (+2)*(+2 ) gives. If you think that it would be (-2) also then you are wrong because root of a positive rational number is always positive number.
Step-by-step explanation:
Let the square root of four be ‘k’.
Then we have
(4)^1/2=k
(Squaring both sides)
4=(k)^2
=>(k)^2–4=0
=>(k)^2-(2)^2=0
=>[k+2][k-2]=0 {since (a)^2-(b)^2=(a+b)(a-b)}
if product of two numbers is 0 then either of one must be zero.
If k+2=0 then k=-2
If k-2=0 then k=2
From here we got two answers but -2 should be omitted because when we square an equation we add “root extra”which means that when we square an equation one root is added.
Answer:
$18,087.23
Step-by-step explanation:
The future worth of the loan in 7 years compounded semiannually is computed as shown below using the future value formula adjusted for semiannual compounding:
FV=PV*(1+r/2)^n*2
FV is the worth of the loan in 7 years which is unknown
PV is the actual amount of loan which is $8,000
r is the rate of interest of 12%
n is the number of years of the loan which is 7 years
the 2 is to show that interest is computed twice a year
FV=8000*(1+12%/2)^7*2
FV=8000*(1+6%)^14
FV=8000*1.06^14=$18,087.23
