Answer:
x = -6.5 y= 3.75
Step-by-step explanation:
Add angle 1 and 2 since they are both alternate interior angles
6x + y - 4 = x - 9y + 1
- x + 9y - x + 9y Subtract x and add 9y to both sides
5x + 10y - 4 = 1
+ 4 + 4 Add 4 to both sides
5x + 10y = 5
-5x - 5x Subtract 5x from both sides
10y = -5x + 5 Divide both sides by 10 to solve for y
y = -1/2x + 1/2
Use this equation to solve for x in the original equations
6x + (1/2x + 1/2) -4 = x - 9(-1/2x +1) - 1
6.5x - 3.5 = x + 4.5x - 9 - 1 Solve in the parentheses
6.5x - 3.5 = 5.5x - 10 Solve the right side of the equation
+ 3.5 + 3.5 Add 3.5 to both sides
6.5x = 5.5x - 6.5
- 5.5x - 5.5x Subtract 5.5x from both sides
x = -6.5
Use the new value of x to solve for y
6(-6.5) + y -4 = -6.5 -9y + 1
-43 + y = -5.5 -9y Simplify both sides
+43 + 43 Add 43 to both sides
y = 37.5 - 9y
+ 9y + 9y Add 9y to both sides
10y = 37.5
y = 3.75
Answer:
FV= $11,156.94
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $7,000
Number of periods (n)= 8 years
Interest rate (i)= 6% compounded annually
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= PV*(1 + i)^n
FV= 7,000*(1.06^8)
FV= $11,156.94
Answer:
C) x=35
Step-by-step explanation:
First, we know that the total amount of degrees in a rotation is 360. As the picture tells us, the opposite angles will be exactly the same. Taking this information, we can have the following equation:
4x + 2(3x+5) = 360
By now using our linear equation skills, we get:
10x+10=360
10x=350
x=35
The degree amount of x for c) is 35 degrees.
Answer:
$420.69
Step-by-step explanation:
if you do some thinking, you'll easily find out the answer is $420.69
not only is it a funny number, it's also a NICE amount of cash i would really love to have. anyways, hope this helps!
P.S: i have all A's in school ;)
Step-by-step explanation:
Rs8,100 / (Rs45 per square meter)
= 180 square meters.
The area of the 4 walls of the room is 180 sq.m.
