Add the 3 ratio portions together: 1 + 4 + 7 = 12
Divide total length by 12:
84/12 = 7
Multiply each ratio portion by 7:
1 x 7 = 7
4 x 7 = 28
7 x 7 = 49
The longest piece is 49 cm
The answer for the first slot is Alternate Interior Angles Theorem
Angle B and angle G are inside the "train tracks" formed by AB and GH. They are on opposite sides of the transversal line BG.
Along a similar line of reasoning, the answer for the second slot is Alternate Exterior Angles Theorem
The two parallel lines in question are AC and FH. The transversal line is FC. Angles ACB and HFG are on the exterior of the "train tracks" formed by the parallel lines.
25 - 7 = 18 |
18 - 3 = 15
The school received 15 kits in the box.
The reason why is because there are 3 kits that they haven't received yet. Then there were 7 that they already had, so that means there are 10 kits that wont be included in the box.
Answer:
see below
Step-by-step explanation:
In the attachment, the points are listed in the order given in the problem statement. (They are listed to the right of the "rotation matrix", with x-coordinates above y-coordinates.)
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I really don't like to do repetitive calculations, so I try to use a graphing calculator or spreadsheet whenever possible. Angles are measured CCW.
As always, the rotation transformations are ...
180° — (x, y) ⇒ (-x, -y)
270° — (x, y) ⇒ (y, -x)
Answer:
286 miles / x gallons = 15miles per gallon.
286/15 = x = approximately 19.07 gallons.
Step-by-step explanation:
