A. The perimeter of a right triangle is given by summing all the sides.
4x + 2 + 7x + 7 + 5x - 4
x + 3 + 2x - 5 + x + 7
b. I think you have to combine like terms of the expressions.
16x + 5
4x + 5
c.
Large triangle: 4(3) + 2 + 7(3) + 7 + 5(3) - 4 = 12+2+21+7+15-4 = 53
Small triangle: 3 + 3 + 2(3) - 5 + 3 + 7 = 3+3+6-5+3+7 = 17
This is a 30, 60, 90 triangle. One angle measures 30° and the other measures 90°. The other has to be 60° because all triangles are 180°. These triangles have special rules:
Say the side opposite 30° (in this case, y) is equal to 1
The side opposite the 60° (in this case, x) is equal to √3
The side opposite 90° is 2.
If 16√3 is opposite 90°, then opposite 30° would be half of that. Therefore, y = 8√3.
Now we need to multiply y by √3 to get x, because the side opposite 60° is always that of 30° multiplied by √3.
8√3 * √3 = 24 as the √3s cancel and become 3. So 8 multiplied by 3 makes 24.
Therefore, x = 24.
Answer: y>-2/6+2
Step-by-step explanation:
We know it's greater then so we just need to find the line. Let's look at the Slope, since 0,2 is greater than -6,4 we start there. The y of 0,2 is 2 so we subtract 4 from 2 which is -2 and now we subtract -6 from 0 which is 6 so now we have -2/6 and the intercept is 2 so we now have y=mx+b which is the line in black: y=-2/6+2. But it is greater than so its y>-2/6+2
