(x+4)(x+4+1) = (x+1)(x+1+11)
(x+4)(x+5) = (x+1)(x+12)
x^2 + 4x+5x+20=x^2+x+12x+12
9x + 20 = 13x + 12
13x-9x = 20-12
4x = 8
x = 2
parallel lines, have the same exact slope, hmmm what is the slope of y = -2/3 x + 1/3 anyway? well, low and behold, the equation is already in slope-intercept form, therefore
has a slope of -2/3.
so we're really looking for a line whose slope is -2/3 and runs through 9,4.
Answer:
5. independent variable hours (h); dependent variable; total cost
6. t= 10h + $4.50
Step-by-step explanation:
The final result in dependent on how many hours he uses the boat.
Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get
Therefore, the value of x is 111.
Answer:
960
Step-by-step explanation:
We start with the variable "x". Let's call "x" Raina's penny bank.
After adding 360 pennies, at the end, she has 5/8x, or 5/8.
So we start with
(1/4)x + 360 = 5/8x
Let's subtract 1/4x from both sides
360 = 5/8x - 1/4x
Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8
360 = 5/8x - 2/8x
Now we simplify to get
360=3/8x
Multiply the reciprocal of 3/8 to both sides which is 8/3
360 * 8/3 = x
Answer is 960 pennies.
Therefore Raina's bank hold 960 pennies.
