Answer
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Step-by-step explanation:
Charles' weight = Edith's weight + 20% of Edith's weight
We'll use a variable to represent Edith's weight, x.
The decimal form of 20% is 0.2.
60 = x + 0.2x
60 = 1.2x
x = 50
Edith's weight is 50kg.
Hope this helps!
B, 4% .
Find this by using the Interest Formula:
I = P X R X T
I = 7500 X .OO4 X 3
I = 900
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
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Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
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We have the two equations x+y = 180 and y+z = 180 to form this system of equations

Which is really the same as this system

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.
Answer: Natalie make $ 367.5 in a week in which she made $225 in sales .
Natalie make $ ( 300+x ) in a week in which she made $ x in sales .
Step-by-step explanation:
Base Salary of Natalie = $300
Also, she gets 30% of the her total sales for the week.
If total sales in a week = $225
commission = 30% of $225
= $ ( 0.30 × 225)
= $ 67.5
Natalie got = Base Salary + Commission
= $300 + $ 67.5
= $ 367.5
∴ Natalie make $ 367.5 in a week in which she made $225 in sales .
If total sales in a week = $x
commission = 30% of $x
= $ ( 0.30 × x)
= $ 0.30 x
Natalie got = Base Salary + Commission
= $ ( 300+x )
∴ Natalie make $ ( 300+x ) in a week in which she made $ x in sales .