Footballs : basketballs = 2.5 : 1
(x 2)
footballs : basketballs = 5 : 2
⇒ basketballs : footballs = 2 : 5
Answer: <span>The ratio of basketballs to footballs is 5 : 2.</span>
X = 5/3 and m∠SPY = 8 1/3°.
Since PQ bisects the angle, the two angles formed by the bisector are equal:
11/2x - 5 = 4x - 5/2
We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5
Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5
Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5
Divide both sides by 3:
3x/3 = 5/3
x = 5/3
Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:
11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2
We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°
Answer:
The equation of the line is y = -7/8x + 11/2
Step-by-step explanation:
Since we have the slope and a point to start, we can use point-slope form to find the equation.
y - y1 = m(x - x1)
Use the slope for m and the point at (x1, y1). Then solve for y.
y - 9 = -7/8(x + 4)
y - 9 = -7/8x - 7/2
y = -7/8x + 11/2
Answer:
y=x is the correct answer
Explanation:
A linear equation is an equation between two variables that gives a straight line when plotted on a graph.
Why the other ones are incorrect:
y=√x gives a radical function graph
y=x^3 gives a cubic graph
y=x^2 gives a parabola
