Answer:
40°, 95°, 105°, and 160°
Step-by-step explanation:
Let the smallest angle be x.
Measures of the 3 angles can be expressed as:
The sum of all angles in a quadrilateral = 360°.
Therefore,
Solve for x
The smallest angle = 40°
Plug in the value of x in the earlier stated expressions to find the measure of the other angles:
-1, maybe or maybe not this is my first time doing this
Answer:
24 bars of treasure
Step-by-step explanation:
You just need to do the opposite in order to find the total value since you divided the treasure up we need to multiply the treasure “back”.
3 buried bars is equal to 1/3 of the remaining treasure. Multiply by 3 to get 3/3 or 100% of buried and crew portion. So we now have 9 bars. Then multiply by 2 to get 100% of what was given to bill, crew and buried. We now have 18 bars. Then we know that we took 1/4 for ourselves so that means 18 bars represents 3/4 of the treasure. So when we look at factors of 18 we find that 3 x 6 = 18 and 4 x 6 = 24 so we conclude that we had 24 bars of treasure before the split.
The other endpoint is (1, -17).
The midpoint formula is:
Using our midpoint and endpoint, we have:
For the first equation (to find the x-coordinate) we will multiply both sides by 2:
Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂
For the second equation (the y-coordinate) we multiply both sides by 2:
Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂
This means that (x₂, y₂) is at (1, -17).
Answer:
39 active volcanoes.
Step-by-step explanation:
Subtract 169 (whole) from 130 (part). 9 - 0 = 9, 6 - 3 = 3, and 1 - 1 = 0. Therefore, 169 - 130 = 39