Consecutive integers area 1 apart
they are
x,x+1,x+2
sum is
x+x+1+x+2=87
3x+3=87
minus 3 both sides
3x=84
divide both sides by 3
x=28
x+1=29
x+2=30
the smallest number is 28
Three and one tenth. The zeros on the end don't mean anything.
Given:
Consider the below figure attached with this question.
Angles of a triangle are x, y and z.
To find:
The values of x, y and z.
Solution:
If two angles are linear pair, then their sum is 180 degrees.



Similarly,



According the the angle sum property, the sum of all angles of a triangle is 180 degrees.





Divide both sides by -5.

The value of x is 36.



Now,



Therefore, the values of x, y and z are 36, 67 and 77 respectively.
Answer:
see attached image
Step-by-step explanation:
F(x) = 2x + 5 is a linear graph because the exponent on x is 1. I tell my students that think of graphs having one less turn/corner that the value of the highest exponent. so since 2x has a exponent of 1, 1-1 =0 so it has no turns or its a straight line.
this has a slope of 2 or 2/1 or up 2 and right 1 from the y intercept which is 5
so mark 5 on the y axis and a from there go up 2 and right 1 and make another point. Join these points and you have your graph
and
g(x) = (x-5)/2 is its inverse and is found:
F(x) = 2x + 5 write it this way y = 2x + 5
now swap the x and y x = 2y - 5
solve for y
x = 2y + 5
- 5 -5
x - 5 = 2y
/2 /2
(x-5)/2 = y
it can be written as y = x/2 - 5/2
and graphed the same way as above with a 1/2 slope and -5/2 y intercept
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