To find this:
<span>x = -1.3333333333333... </span>
<span>Multiply by 10: </span>
<span>10x = -13.3333333333... </span>
<span>Subtract x = 1.3333333333333333....: </span>
<span>9x = 12. </span>
<span>Divide by 9: </span>
<span>x = 12/9 = 4/3.</span>
That's of course the 30/60/90 right triangle.
If you need to see the algebra, the acute angles in a right triangle are complementary, adding to 90 degrees:
x + 2x = 90
3x = 90
x = 30
Answer:
m= 0.3
Step-by-step explanation:
10.1 = 8 + 7m
-8 -8
2.1 = 7m
2.1/7 = 0.3
Answer:
y=-4/9x+11/3
Step-by-step explanation:
Reminder: slope intercept form is y=mx+b where m= slope and b=y intercept
Two points are given; (6,1) and (-3,5)
First, find the slope
Reminder: slope is y2-y1/x2-x1
You can plug the numbers given into the equation to get 5-1/-3-6 which equals 4/-9
Now, we can use slope point form which is y-y1=m(x-x1)
Once again, plugging the numbers in (any one of the two points will work) will get
y-1=4/-9(x-6)
Simplifying it will get y=-4/9x+11/3.