Answer:
a = 
Step-by-step explanation:
To find the value of a, find the Slope of both the equations.
For lines to be perpendicular to each other 
For line 1:
2x + 3y − 6 = 0 represent the line in y=mx +c form
3y = -2x + 6
y =
+ 
y =
+ 2
= 
For line 2:
ax - 3y = 5
ax = 5 + 3y
ax - 5 = 3y
y = 
= 
Apply the condition of perpendicularity:
*
= - 1

a = 
<span>17 1/3 + (-50 1/3) -5 1/2
= -33 - 5 1/2
= (</span>-33 ) + ( - 5 1/2)
<span>= -38 1/2
</span>
Answer: 54.6
Step-by-step explanation: 42 x 30% = 12.6 ( tax ) then 12.6 + 42 = 54.6
Answer:
x = 38
y = 25
Step-by-step explanation:
To find x, you do
(2x + 5) = (3x - 33)
Subtract 2x from both sides to isolate x on one side, you get:
5 = (x - 33)
Add 33 to both sides to separate the normal number from the x, you get:
38 = x
From there, you plug x into one of the equations
2(38) + 5
The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:
(4y - 1) = 99
Add one to both sides to get rid of it, you get:
4y = 100
Divide by four, to get the y all alone:
y = 25
I hope this helped!
Answer:
3.4545
Step-by-step explanation: