Answer:
Step-by-step explanation:
1). Since, both the angles are vertically opposite angles,
Measure of both the angles will be same.
6x = 30
x = 5
2). Since, both the angles are the linear pair of angles,
(4 + 5x)° + (x + 2)° = 180°
6x + 6 = 180
6x = 180 - 6
x = 
x = 29
Therefore, (4 + 5x)° = 4 + 5(29)
= 149°
And (x + 2)° = (29 + 2)
= 31°
3). Since, both the angles are linear pair of angles,
5x° + (3x + 12)° = 180°
8x + 12 = 180
8x = 180 - 12
x = 
x = 21
Therefore, 5x° = 5(21)
= 105°
(3x + 12)° = 3(21) + 12
= 75°
Your answer:1/5 Hope this helps!
The answer I got is y= 1/3x + 5
ABCD is a square . if the coordinates of three of its vertices are A(-1,2a), B(a,2a), C(a,0), find the coordinates of D. BC is obviously 2a (it's a vertical line) then AB must be 2a (notice AB is horizontal) so BC = AC because it is a square 2a = a+1 a=1
Answer:
The correct option is the graph on the bottom right whose screen grab is attached (please find)
Step-by-step explanation:
The information given are;
The required model height for the designed clothes should be less than or equal to 5 feet 10 inches
The equation for the variance in height is of the straight line form;
y = m·x + c
Where x is the height in inches
Given that the maximum height allowable is 70 inches, when x = 0 we have;
y = m·0 + c = 70
Therefore, c = 70
Also when the variance = 0 the maximum height should be 70 which gives the x and y-intercepts as 70 and 70 respectively such that m = 1
The equation becomes;
y ≤ x + 70
Also when x > 70, we have y ≤
-x + 70
with a slope of -1
To graph an inequality, we shade the area of interest which in this case of ≤ is on the lower side of the solid line and the graph that can be used to determine the possible variance levels that would result in an acceptable height is the bottom right inequality graph.