12=5x-13x-44
combine like terms
12 = -8x -44
add 44 to each side
12+44 = -8x
56= -8x
divide by -8 on each side
56/-8 = x
-7 =x
1 ÷ 4 1/4 so one lap is a quarter of a mile meaning 3 laps is 3/4 of a mile
Answer:
E
Step-by-step explanation:
The problem says that triangle BDC lies in the plane k, which means that whatever angle is formed by another point beyond this plane with any of the three segments that form BDC (BD, DC, and BC) is the same as the angle formed by the line connecting the point and the plane.
Here, we're given that AD⊥DC, which means AD forms a 90° angle with DC. Then, since DC is already on the plane, we already know for sure that AD is definitely perpendicular to plane k.
Thus, the answer is E (none of these).
Answer:
y = -2x -1
Step-by-step explanation:
slope intercept form is y = mx +b
m = slope, b = y intercept
point is given as ordered pair (x,y)
plug in slope into y=......
y= -2x+b
plug in the point
3 = -2 * (-2) + b
3= 4 +b subtract 4 on each side
b = -1
y = -2x -1
Since we know the polygons are similar, the side length ratio of each side must be equal.
13/5 = x/10
Multiply both sides by 10
x = 26
That's your answer. Have a nice day! :)