Answer/Step-by-step explanation:
Given:
AC = 6x - 12
BC = 4
CD = 3x - 2
Required:
Determine length of AB and CD.
SOLUTION:
AC - BC = AB
(6x - 12) - 4 = AB (Substitution)
6x - 12 - 4 = AB
6x - 16 = AB
Since AB ≅ CD, therefore,
AB = CD
6x - 16 = 3x - 2 (Substitution)
Combine like terms
6x - 3x = 16 - 2
3x = 14
Divide both sides by 3
x = 4.7
Find AB
6x - 16 = AB
Plug in the value of x
6(4.7) - 16 = AB
28.2 - 16 = AB
12.2 = AB
Find CD
CD = 3x - 2
Plug in the value of x
CD = 3(4.7) - 2
CD = 14.1 - 2
CD = 12.1
Answer:
original number is 57
Step-by-step explanation:
I am not sure if there is a correct way to do this...but I am just guessing and checking to find the answer.
the possible 2 digit numbers that equal 12 are :
39,93,48,84,57,75,66
the number obtained by interchanging the digits exceeds the original number by 18....so the original number is 18 less then the new number.
the only two numbers whos difference is 18 is 57 and 75.....75 - 57 = 18
so the original number is 57.....and the new number obtained by interchanging the digits (75) exceeds the original number by 18...and 75 - 57 = 18.
Answer:
Step-by-step explanation:
The formula for the area of a square is A = x^2, where x is the length of one side. Equivalently, x^2 = A.
Here x^2 = 225 yd^2. Taking the positive square root of both sides, x = 15 yd.
Thus, the perimeter of the square area enclosed by the fence is
P = 4(15 yd) = 60 yd
Answer:
The equation of the perpendicular line 't' is 3x+y =0
Point slope form y = mx +C
y = - 3x
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given equation s = and given point (1,-3)
The equation of the perpendicular line
⇒ 3 y = x+30
⇒ x - 3y +30 =0
<u><em>Step(ii):-</em></u>
<em>The perpendicular line of the given straight line 's'</em>
<em> b x -ay +k=0</em>
⇒ -3x -y +k=0
This line is passing through the point (1,-3)
-3(1)-(-3)+k=0
k =0
The equation of the perpendicular line -3x-y =0
<u><em>Final answer:-</em></u>
The equation of the perpendicular line 3x+y =0
Point slope form y = mx +C
y = - 3x