Answer:
x ≈ 3.9
Step-by-step explanation:
Call the segment shared by the two triangle "y". The Pythagorean theorem tells you ...
sum of squares of sides = square of hypotenuse
y² +6² = 10²
x² +7² = y²
Substituting for y² using the second equation, we get ...
x² +7² +6² = 10²
x² = 10² -7² -6² = 100 -49 -36 = 15
Taking the square root, we find ...
x = √15 ≈ 3.9
He drank more than half of his drink... So we need to look for fractions greater than 1/2.
First, lets find equivalents of 1/2

If all of these fractions are equal to 1/2, then by adding to the numerator of these fractions, we'l have fractions greater than 1/2.
2 +1 3
__= ___
4 4
3/4 is greater than 1/2
Mike could have drunken 3/4 of the juice
4/6>1/2 Mike could have drunken 4/6 of the juice
5/8 is greater then 1/2 Mike could have drank 5/8 of the drink.
Answer=3/4, 4/6, 5/8 and many more possible fractions
Answer:
Step-by-step explanation:
Ok so you are given the values of the slope-intercept form with m being the slope and b being the y-intercept. So since b is equal to -1 you want to plot a point at (0, -1) since that is the y-intercept (when x = 0). The next thing you want to do is look at the slope, which is essentially saying each time x increases by 5 the y-value decreases by 4 or in other words rise/run which is negative which is why you're going down. So from the point (0, -1) go forward 5 units and go down 4 units which should lead you to (5, -5) and the third point you can plot is by going backwards instead of forwards. So instead of every time x increases by 5 y decreases by 4 you're going to do the inverse. Every time x decreases by 5, y is going to increase by 4. So by doing this from the y-intercept (0, -1) you should go backwards 5 units and up 4 units which should lead you to (-5, 3). And then now just draw a line that goes through all those three points. Hope that helps :)