Answer:
x=8
Step-by-step explanation:
first you need to find the unknown corner so you do 180-71= 109
then find the interior angle degree (n-2)*180 (n=number of sides) so (4-2)*180=2(180)=360
then set everything equal to 360:
10x+6+13x-2+8x-1+109=360
(combine like terms)
31x+112=360
(subtract 112 form both sides)
31x=248
(divide both sides by 31)
x=8
Answer:
29,892
Step-by-step explanation:
811,968-782,076
Step 1
<u>Find the slope of the function f(x)</u>
we know that
The formula to calculate the slope between two points is equal to
Let
substitute
Step 2
<u>Find the y-intercept of the function f(x)</u>
The y-intercept is the value of the function when the value of x is equal to zero
in this problem the y-intercept of the function is the point
so
the y-intercept is equal to
Step 3
Verify each case
we know that
the equation of the line into slope-intercept form is equal to
where
m is the slope
b is the y-intercept
<u>case A) </u>
In this case we have
therefore
the function of case A) does not have the same slope as the function f(x)
<u>case B) </u>
In this case we have
therefore
the function of case B) does not have the same slope and y-intercept as the function f(x)
<u>case C) </u>
In this case we have
therefore
the function of case C) does have the same slope and y-intercept as the function f(x)
<u>case D) </u>
In this case we have
therefore
the function of case D) does not have the same y-intercept as the function f(x)
therefore
<u>the answer is</u>
Answer:
Top one
Step-by-step explanation:
Answer:
23, 25, and 27.
Step-by-step explanation:
Let the first odd integer be <em>k</em>.
Since the three numbers are consecutive odd integers, the second is given by (<em>k</em> + 2) and the third by (<em>k</em> + 4).
Their sum is 75. Hence:
Solve for <em>k</em>. Combine like terms:
Subtract:
And divide:
Therefore, the first number is 23.
In conclusion, the three consecutive, odd integers are 23, 25, and 27.