Answer:
the dishes sparkled after we washed them.
Step-by-step explanation:
Given:
hexagon
apothem of the hexagon: 14 cm
perimeter of the hexagon: 96 cm
Area of the hexagon = [(3√3) / 2] a² ; where a is the measure of the side
hexagon has 6 sides.
Perimeter = 6a
96 cm = 6a
96 cm / 6 = a
16 = a
We can also use the area of a triangle to approximate the area of the hexagon. There are 6 triangles in the hexagon .
Area of a triangle = (height * base) / 2
A = (14 cm * 16 cm) / 2
A = 224 / 2
A = 112 cm²
112 cm² * 6 triangles = 672 cm²
Answer:
1. Because a right angle is 90 degrees, the answer to this is 90 - 65 = 25.
2. This question is similar to the last one, but this time the angle is 180 degrees total, so the answer is 180 - 55 = 125.
3. I'm fairly certain the lines here indicate that all three angles are the same. If all three angles make 180 degrees, the answer would be 180 / 3 = 60.
4. This is the same as in question 2. 180 - 135 = 45.
5. Again, because all three angles need to make up 180 degrees, we can just simply do 180 - (65 + 45) = 70.
6. With a quadrilateral, the angles add up to 360 degrees. We can do the same thing as in question 5 here. 360 - (70 + 95 + 55) = 140.
7. I don't remember exactly how to solve this but 55 degrees is correct because 55 + 55 + 70 = 180 which is the only possible value.
I haven't done this kind of stuff in a looooong time so I hope this suffices! :)
Answer:
(2,-3)
Step-by-step explanation:
I used substitution and rearranged the second equation to y=-2x+1. Then I replaced the y in the first equation with -2x+1. So, I got 3x-5(-2x+1)=21. When you solve that you get 13x=26 or x=2. Then you replace x with 2 in either equation and end up with y=-3.
