The sand makes up a rectangular prism of dimensions 8' by 10' by 0.5'.
The volume of sand is then V = L*W*H, or V = (10')(8')(0.5') = 40 cubic ft.
Answer:
See explanation
Step-by-step explanation:
In the figure below, segment CD is parallel to segment EF, DE is a transversal, then angles DIH and HGI are congruent as alternate interior angles when two parallel lines are cut by a transversal.
Consider triangles DIH and EGH. In these triangles,
as alternate interior angles;
as vertical angles;
because point H bisects segment DE (given).
Thus,
by AAS postulate
For ABC:
The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54
The measure of angle ABC = x - 5 = 54 - 5 = 49
For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21
The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°
The small cup is the better deal, with the medium you get 4 more ounces but pay 15 cents an ounce with the small you pay 14 cents an ounce.
Answer:
Step-by-step explanation:
A horizontal line has the equation "y = " something, while a vertical line has the equation "x = " something. If our line is horizontal through (3, 6), it will be horizontal through the y coordinate (and vertical through the x coordinate). Our equation is y = 6
(The vertical equation through this point would be x = 3, just so you understand what I meant above.)
