Answer: Option d.
Step-by-step explanation:
The trigonometric identity needed is:
Knowing that 
:
Substitute it into :
Simplify the expression:
Solve for 
. Apply square root at both sides of the expression:
Answer:
(x, y) = (18, 5)
Step-by-step explanation:
Assuming the three lines meet at a single point at lower left (the figure is sloppily drawn), the angle (3x)°+49° is a corresponding angle to (7x-23)°. That means they have the same measure:
3x +49 = 7x -23
72 = 4x . . . . . . . . . add 23-3x
18 = x . . . . . . . . . . . divide by 4
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Angles (3x)° and (11y-1)° are "corresponding" angles, so are congruent.
3x = 11y -1
3(18) +1 = 11y . . . . add 1, fill in the value of x
55/11 = y = 5 . . . . divide by 11
The values of x and y are 18 and 5, respectively.
Did you forget to attach an image?
Answer: The car has to sell for $20000
Step-by-step explanation:
Let x represent the price that the car would have to sell for in order for these two job opportunities to pay Jim the same amount.
Ace Cars says they will pay Jim a 10% commission on the sale price of each car. It means that his pay would be
10/100 × x = 0.1x
Budget Cars says they will pay him $500 per week plus a 7.5% commission on the sale price of each car. It means that his pay would be
500 + 0.075x
For boths pays to be the same, it means that
0.1x = 500 + 0.075x
0.1x - 0.075x = 500
0.025x = 500
x = 500/0.025
x = 20000
The car has to sell for $20000
1. A. y and 1.2y are like terms. c they both contain the same term (y) and can therefore be combined.
2. B. 12x+11 (you have to combine the like terms)
3. 15y+18-4
C. 15y+14 (you must distribute the 3 to inside the parentheses, so 3×5y and 3×6)
4. 9(9-3p) (you have to find a common factor between the terms, in this case 9, and you place it on the outside of the parentheses, while dividing that factor from those terms, which are placed in parentheses.
