Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides
168x - 280 = 160x - 160 ( subtract 160x from both sides )
8x - 280 = - 160 ( add 280 to both sides )
8x = 120 ( divide both sides by 8 )
x = 15
100°+(4y+25)+(3y+20)=180°
100+4y+25+3y+20=180
7y+145=180
7y=35
y=5
100°; 45°; 35°
Answer: [c, ∞)
<u>Step-by-step explanation:</u>
Range is all of the y-coordinates.
The parabola is upright (∪) because the coefficient of x² is positive.
So the minimum value is at "c" and the parabola tends toward infinity.
Range: y ≥ c <em>in Interval Notation</em>: [c, ∞)
Company A
Income = 35,000 + 0.03x
Company B
Income = 25,000 + 0.05x
set them equal to see how much of sales Julia needs to make the same income at both companies.
30,000 + 0.03x = 25,000 + 0.05x
30,000 - 25,000 = 0.05x - 0.03x
5,000 = 0.02x
5,000/0.02 = x
250,000 = x
Company A has better base salary and so would pay better if less than 250,000 sales are made. Company B has bigger percent bonus and would be a better deal if more than 250,000 sales are made.
So it's the 2nd choice.
Answer:
Where's the number line?
Step-by-step explanation: