The maximum number of packs Jess can buy is 3 packs.
Given that we need to determine the radius of the circle.
<u>Radius:</u>
By definition of radius of circle, the radius is the length of the line which is drawn from the center of the circle to any point on the circle.
From the figure, we need to determine the radius of the circle.
As, we can see that, the distance from the center of the circle to the point on the circle is 11 cm.
Since, we know that, the radius is the distance from the center of the circle to the point on the circle then, the radius of the given circle is 11 cm
Thus, radius of the circle is 11 cm.
Answer:
- Infinitely many solutions
Step-by-step explanation:
First, let's organize the equations of the lines into slope-intercept form.
- x + 4y = 1
- => 4y = -x + 1
- => y = -x/4 + 1/4
And,
- 2x + 8y = 2
- => 8y = -2x + 2
- => y = -2x/8 + 2/8
- => y = -x/4 + 1/4
Since both the graphs are the same, the two equations have infinitely many solutions.
Slope = rise/run =[y2-y1]/[x2-x1]
1) slope = [90 - 30] / [12 - 4] = 60 / 8 = 15/2
2) slope = [75 - 30] / [10 - 4] = 45 / 6 = 15 / 2
The slopps are equal.
Answer:
Step-by-step explanation:
Angles 153 and QRP are straight angles, and thus Angle QRP is
180 - 153, or 27 degrees.
The interior angles of the triangle must sum up to 180 degrees:
27 + (3y + 5) + (2y - 7) = 180.
combining like terms, we get:
5y - 25 = 180, or 5y = 155, or y = 31
Then Angle Q is 3(31) + 5, or 93
Angle P is 2(31) - 7, or 55, and
Angle QRP is 27 degrees (found earlier).
