Answer:
y = -4/3x + 2
Step-by-step explanation:
to find slope use m= y2-y1/x2-x1
m= 3-(-1)/-6-(-3)
m= 4/-3
m= -4/3
then use point slope formula (y-y1) =m(x-x1)
(y-(-1)) = -4/3(x-(-3))
simplify
y+1 = -4/3x + 3
turn into slope intercept form
y = -4/3x + 2
Answer:
a = 133 degrees
b = 78 degrees
Step-by-step explanation:
the top and bottom lines are parallel.
the two sidelines are lines that intercept the top and bottom lines.
as they intercept parallel lines, they actually must have the same angles with them.
so, the 47 degrees inner angle at the bottom line, must be also somewhere at the interception point with the top line. and right, it must be now mirrored the outward angle at the top line. and that means a (the inward angle at the top line) is also the outward angle at the bottom line.
the sum of inward and outward angles at a point must always be 180 degrees.
so, the outward angle of 47 = the inward angle a =
= 180 - 47 = 133 degrees.
similar in the other side.
102 is the inward angle.
the outward angle of that is 180 - 102 = 78 degrees.
and that is also the inward angle b.
b = 78 degrees
Answer:
NO
Step-by-step explanation:
The left side 0.25 does not equal to the right side 0.125 , which means that the given statement is false.
Answer:
The number of fiction books is <u>500</u> and non fiction books is <u>1500</u>.
Step-by-step explanation:
Given:
Total book library contains = 2000.
There are 3 times as many non fiction books as fiction books.
Now, to determine the number of non fiction books and fiction books.
Let the fiction books be 
And the non fiction books be 
Total books = 2000.
Now, to get the number of non fiction books and fiction books we put an equation:
Dividing both sides by 4 we get:
Fiction books = 500.
Non fiction books = 
Therefore, the number of fiction books is 500 and non fiction books is 1500.
