Answer:
12
Step-by-step explanation:
(66 2/3)
---------- (x) = 8
100
Solve for x
(66 2/3)x = 800
x = 800/(66 2/3)
x = 800/(200/3)
x = 800(3/200)
x = 4(3)
x = 12
Substitute the number for the appropriate variables and solve
(ab)^2
(4×3)^2
(12)^2
12×12
144
Your answer is B.144
Answer: " m∠ACD = 40° " .
______________________________________________________
Explanation:
______________________________________________________
We are asked to find: "m∠ACD" ;
______________________________________
Note: m∠ACD = m∠ABD ;
______________________________________________________
So, given:
m∠ACD = (4x + 4)° ;
m∠ABD = <span>(6x - 14)° ;
_______________________________________________________
4x + 4 = 6x - 14 ;
Solve for "x" ; then solve for: "m</span>∠ACD" ;
_______________________________________________________
Add "14" to each side of the equation; and subtract "4x" from each side of the equation ;
4x + 4 + 14 - 4x = 6x - 14 + 14 - 4x ;
to get:
18 = 2x ;
↔ 2x = 18 ;
Divide each side of the equation by "2" ; to isolate "x" on one side of the equation; & to solve for "x" ;
__________________________________________________________
2x / 2 = 18/2 ;
x = 9 .
_________________________________________________________
Now, to solve for: " m<span>∠ACD " :
</span>_________________________________________________________
m∠ACD = <span>(4x + 4)° ;
Substitute "9" for "x" ;
</span>
m∠ACD = (4*9) + 4 = 36 + 4 = 40° .
_____________________________________________
Answer: " m∠ACD = 40° " .
_____________________________________________
Let us check our answer:
_____________________________________________
m∠ACD = 40 ; and m<span>∠ABD = (6x - 14) ;
</span>m∠ACD = ∠ABD ;
<span>
Since </span>m∠ABD = (6x - 14) ;
If x = 9; if we plug in "9" into the expression for "m∠ABD" ; will the value obtained be "40" ??
m∠ABD = (6x - 14) ; Let us plug in "9" for "x" ; to see if the value obtained is "40"
6x - 14 = ? (6*9) - 14 ??
6x - 14 = ? 54 - 14 ??
6x - 14 = ? 40 ?? Yes!
______________________________________________
The x value is 1 because it is in between 4 and -2.
It is 3 away from 4 and 3 away from -2.
Hope this helps!
I can but the values and variables of what?
