Answer:
8
Step-by-step explanation:
Let's say the ant is walking across the floor. Then it hits the wall and starts climbing to the ceiling.
We have a right triangle, as in the diagram, so we can apply Pythagoras' Theorem.
x² + 6² = 10²
x² + 36 = 100
x² = 64
x = 8
The ant must walk eight vertical units.
the sum of all interior angles in a polygon is 180(n - 2), where n = number of sides.
well, this is a quadrilateral, so it has 4 sides so it has a total of interior angles of 180(4-2) = 360°, since this is a kite, then <u>one pair of opposite angles are congruent</u>, namely ∡C = ∡A.
360° - 45° - 100° = 215°, and ∡C and ∡A split that evenly, so ∡C = 107.5°.
The answer is B. (y = 4)
Further explanation:
–4y + 8 = 4(2y – 2) – 2(–16 + 8y)
= -4y + 8 = 4 * (2y -2) - 2 * (-16 + 8y)
= -4y + 8 = ( 4 * 2y - 4 *2 ) - (2 * -16 - 2 * 8y )
= -4y + 8 = 8y - 8 - ( -32 - 16y)
= -4y + 8 = 8y - 8 + 32 + 16y
Move y’s to the left & numbers to the right
= -4y - 8y - 16y = -8 + 32 - 8
= 12y - 16y = -16 + 32
Y = 16 / 28
Y = 4 = (B choice)
Answer:
infinite solutions
Step-by-step explanation:
1 gal + 2 qt + 3 pts
1 gal + 3 qt + 7 pts
1 gal + 3 qt + 3 pts
----------------------------add
3 gal + 8 qt + 13 pts
1 gal = 4 qts
1 gal = 8 pts
1 pt = 1/2 qt
13 pts = 6.5 qts
now we have 3 gal + (8 + 6.5) = 3 gal + 14.5 qts
12 qts = 3 gal
now we have : 6 gal + 2.5 qts or 6 gal + 2 qts + 1 pt <=== answer
