Answer:
30
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
150 = ?+120
Subtract 120 from each side
150-120 = ?
30 = ?
Lets say the price of a shirt is X, then the price of sweater is X + 3.95
Since a total cost is 71.65 for 3 shirts and 2 sweaters. 71.65 = (3*X) + 2*(X+3.95)
So, 71.65 = 3X + 2X + 7.9
71.65 - 7.9 = 5X
12.75 = X. Therefore, the price of a shirt is 12.75 dollars, and the price of a sweater is 16.7 dollars (12.75 + 3.95)
**
Answer:
B. (x-4)^2 + (y - 3)^2 = 5^2
Step-by-step explanation:
The equation for a circle is given by
(x-h)^2 + (y-k) ^2 = r^2
where (h,k) is the center and r is the radius
We have a center of (4,3) and a radius of 5
(x-4)^2 + (y-3) ^2 = 5^2
Answer:
d.
Step-by-step explanation:
Left line is defined when x < 1 (x is less than 1). The point is not full and that means that x = 1 is not included.
Right line is defined when x is greater or equal to one x ≥ 1.
Options that have x < 1 and x ≥ 1 are b and d, so the answer is one of those.
Equations of the lines are in slope-intercept form y = mx + b, where m is slope and b is y-intercept.
Right line has steeper slope than left line, so the slope of right line will have bigger absolute value. That is the case with option d. (Left line has slope -1 and right one has slope -2, absolute value of right slope is bigger.)
You could also check with y-intercepts. Left line has y-intercept at y = 2 and left line is defined when x < 1. Only option d meets these conditions.
