Answer:
Q = 132
P = 48
Step-by-step explanation:
Angles R + S = 180, which means
(5x + 3) + (14x + 6) = 180
19x + 9 = 180
19x = 171
x = 9
so
R = 5x + 3 = 5(9) + 3 = 48
S = 14x + 6 = 14(9) + 6 = 132
Q = 180 - R = 180 - 48 = 132
P = 180 - Q = 180 - 132 = 48
Answer:
D. y = 5x - 11.
Step-by-step explanation:
One equation of a straight line is y = mx + c where m = slope and c = the y-intercept..
Lines which are parallel have the same slope.
So the equation will be y = 5x + c so we have to find c.
As we are given a point on the line we now use the point slope form:
y - y1 = m(x - x1) where (x1, y1) is a point on the line:
The point is (3, 4) so we have:
y - 4 = 5(x - 3)
y - 4 = 5x - 15
y = 5x - 15 + 4
y = 5x - 11.
Answer:
The area of the screen at AT&T Stadium is 4,480 square feet.
Step-by-step explanation:
Given that the screen at Dallas' AT&T Stadium is 175 feet wide, and a movie theater screen with similar dimensions is 40 feet wide with a screen area of 1,024 ft², to determine what is the area of the screen at AT&T Stadium the following calculation must be done:
40 = 1,024
175 = X
175 x 1,024 / 40 = X
179,200 / 40 = X
4,480 = X
Thus, the area of the screen at AT&T Stadium is 4,480 square feet.
Answer:
True
Step-by-step explanation:
(6³ * 3³)² = 18⁶
Multiply inside the parenthesis.
(18³)² = 18⁶
When you put powers to powers, they multiply, eg:
(x³)⁴ = x³°⁴ = x¹²
18⁶ = 18⁶
True.
Answer:
the solution is (21/2, 19/2)
Step-by-step explanation:
The first equation, x = y + 1, has already been solved for x. We can eliminate x in the second equatin by substituting y + 1 for x:
y = -(1/3)(y + 1) + 6
Let's eliminate fractions by multiplying all three terms by 3:
3y = y + 1 + 18
Combining like terms results in:
2y = 19, so that y = 19/2.
Substituting this 19/2 for y in the first equation, we get:
19/2 + 2/2 = x, or
x = 21/2
Thus the solution is (21/2, 19/2)
