y = - 5x + 12
the equation of a line in ' slope- intercept form ' is
y = mx + c where m is the slope and c the y- intercept
rearrange 10x + 2y = - 2 into this form
2y = - 10x - 2 ⇒ y = - 5x -1 ( with m = - 5 )
note that parallel lines have equal slopes
Thus the slope of the parallel line is m = - 5
given the line passes through ( 0 , 12 ) then c = 12
equation of parallel line is y = - 5x + 12
Given:
The inequality is:
To find:
The integer solutions to the given inequality.
Solution:
We have,
This compound inequality can be written as two separate inequalities 
and 
.
Now,
...(i)
And,
Divide both sides by 2.
...(ii)
From (i) and (ii), we get
Here, 1 is excluded and 3 is included in the solution set. There two integer values 2 and 3 in .
Therefore, the integer solution for the given inequality are 2 and 3.
Answer:
A. 37.5°
Step-by-step explanation:
∠SPT can be considered an inscribed angle in the circumcircle. In that circle, arc ST would have a measure of 360°/8 = 45°. Angle y° is half that measure, so is 22.5°.
The external angles of a regular octagon are 360°/8 = 45°, so that is the measure of angles UTW and UVW. It is also the amount by which reflex angle TUV exceeds 180°.
The sum of the interior angles of quadrilateral TUVW is ...
45° +225° +45° +3x° = 360°
Then 3x° = 45° and x° = 15°.
Then the sum of interest is ...
x° + y° = 15° + 22.5° = 37.5°
A= substitution property
b=definition of linear angles
c= subtraction property
Answer:
The answer is B. m∠ POS + m∠ POR = 180
step-by-step explanation:
Because if you already know that m∠POQ equals 90 because it is a right angle
Then all you have to do is take 90 from 180 which is 90 then divide 90 by two which is 45
now you have the measurement for the two acute angles 45
which makes m∠POS = 45 and m∠QOR =45
NOW YOU HAVE TO ADD 90 AND 45 AND 45 ALL TOGETHER THEN YOU WILL HAVE 180
