The two angles are Alternate Exterior angles. For the lines to be parallel, the two angles need to equal each other:
2x-3 = x+4
Subtract x from both sides:
x - 3 = 4
Add 3 to both sides:
x = 7
Answer:
<em>The total percentage discount was 19%</em>
Step-by-step explanation:
<u>Percentages</u>
Suppose the original price of the shirt was x.
A discount of 10% reduces the price by:
10*x/100 = 0.1x
Thus, the discounted price is:
x - 0.1x = 0.9x
The second discount reduces the price by:
10*0.9x/100 = 0.09x
The new discounted price is:
0.9x - 0.09x = 0.81x
With respect to the original price, the last discounted price has been discounted by:
x - 0.81x = 0.19x
This means the total percentage discount was 0.19*100 = 19%.
The total percentage discount was 19%
4/5 of the original amount at the start of the month will remain. The amount at the start of every month will change. Thus:
an = 4/5 (an-1) ; where a1 = 500.
Answer:
y = 0.265x - 494.7
Step-by-step explanation:
Let median age be represent by 'a' and time be represent by 't'
In 1980, median age is given 30
which means that
a₁ = 30
t₁ = 1980
In 2000, the median age is given 35.3
which means that.
a₂ = 35.3
t₂ = 2000
The slope 'm' of the linear equation can be found by:
m = (a₂ - a₁) /(t₂ - t₁)
m = (35.3 - 30)/(2000-1980)
m = 0.265
General form of linear equation is given by:
y = mx + c
y = 0.265x +c
Substitute point (1980,30) in the equation.
30 = 0.265(1980) + c
c = -494.7
Hence the the linear equation can be written as:
y = mx + c
y = 0.265x - 494.7
