Dana bikes 10 mi in 50 min. At this rate, how far can she bike in 90 min?
2 answers:
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<u>Given:</u>
Zoe gets paid a 1% commission for every sale she makes in addition to base pay.
She sold $8,000 worth of computers on a day and made $140 that day.
<u>To find:</u>
A function P(x) representing total pay on a day where she sells x dollars worth of computers.
<u>Solution:</u>
To determine the function P(x) we need to determine how much Zoe's base pay per day is.
One day, she sold $8,000 worth of computers and made $140 that day.
She gets a commission of 1% for $8,000.
1% of $8,000
So she got paid $140 out of which $80 was a commission.
So her base pay
So Zoe's base pay is $60 a day.
P(x) is the sum of her base pay and 1% of the amount of computer sales she makes ($x).
So , where x is the computer sales she makes in dollars. P(x) is represented in dollars.
Answer:
The correct option is;
∠A ≅ ∠X
Step-by-step explanation:
The given coordinates of the points of triangle ACB are;
A(-4, 4), C(-1, 3), B(-4, 0)
The given coordinates of the points of triangle XYZ are;
X(0, 8), Y(8, 8), Z(6, 2), therefore, we have
The length. l. of segment is given by the following formula;
For the length of the segment AC; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-1, 3), l = √(10)
For the length of the segment AB; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-4, 0), l = 4
For the length of the segment BC; (x₁, y₁) = (-4, 0), (x₂, y₂) = (-1, 3), l = 3·√2
For the length of the segment XY; (x₁, y₁) = (0, 8), (x₂, y₂) = (8, 8), l = 8
For the length of the segment XZ; (x₁, y₁) = (0, 8), (x₂, y₂) = (6, 2), l = 6·√2
For the length of the segment ZY; (x₁, y₁) = (6, 2), (x₂, y₂) = (8, 8), l = 2·√(10
Therefore;
XY ~ AB, XZ ~ BC, ZY ~ AC
Which gives;
∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z
