Answer:
1
Step-by-step explanation:
Rise over run, for every time the y-value increases by one, the x-value also increases by one; 1/1=1. The slope formula is y2-y1/x2-x1.
Answer:
74
Step-by-step explanation:
A polygon's angles add up to (n-2)*180, where n is the total number of sides, and a hexagon has 6 sides, which means its angles add up to 720 degrees.
Therefore, we can set up an equation where the missing angles, marked as x, and the rest of the angles add up to 720:
x+x+152+108+140+172=720
2x+572=720
2x=148
x=74
Therefore, the angles of the 2 missing angles is 74
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
Answer:
1. 0.893 + 17.58 = 18.473
2. 8.9 x 4.4 = 39.16
3. 8/6 = 1.33
Answer a be 9
2(-1.5) + (-6)(-3 + 1)
-3 + (-6)(-2)
-3 + 12
9