Eliminate parenthesis by using the distribution property
= 5x² -3x +3 - x² - 2x +1
Group similar terms
= (5-1)*x² + (-3 -2)*x + (3+1)
Then sum everything:
= 4x² -5x +4
On this picture is shown a quadrilateral inscribed in a circle and by the Inscribed Quadrilateral Theorem the angles on the opposite vertices are supplementary, or in other words are equals to 180 degrees.
On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.
m<A+m<C=180 Substitute the given values for angles A and C
x+2+x-2=180 Combine like terms
2x=180 Divide by 2 in both sides to isolate x
x=90
Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.
m<D=x-10 Substitute the value of x
m<D=90-10 Combine like terms
m<D=80
m<B=180-m<D Substitute the value of angle D
m<B=180-80 Combine like terms
m<B=100
The measure of angle B is 100 degrees, and the value of x is 90.
Answer:
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Step-by-step explanation:
is there supposed to be a picture with this
Answer:
In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792
Step-by-step explanation:
Here we have that the formula for population presented as follows;

Where:
A = Population after growth
P = Original population = 3400
r = 5% = 0.05
t = Time = 17 years
Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;

Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.
Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.
Answer:
A. Total Money Contributed after n months = 
B. Total Money Contributed after 24 months = 
Step-by-step explanation:
Given:
Initial contribution = 
each month contribution =
After 1 month contributed = 
Solving for Part A
let n be the number of months
∴ Total Contribution after n months = Initial contribution + (each month contribution
Number of months = 
Solving for Part A
Now n= 24 months
∴ Total Contribution after 24 months = 