Answer:
x = 29°
Step-by-step explanation:
the Δ on the right has 3 angles whose measures are 30°, 74°, and 76° (you get 76° because it forms a linear pair with an angle that is 104°; you get 74° by adding 30 and 76 and subtracting the sum from 180°.
the Δ on the left has 3 angles whose measures are 45°, 29°, and 106° (you get 106° because it forms a linear pair with an angle that is 74°; you get 29° by adding 45 and 106 and subtracting the sum from 180°.
∡x is a vertical angle with the angle that measures 29° and vertical angles are congruent
Answer:
x<-2
Step-by-step explanation:
Divide both sides of the inequality by 5 to solve for x.
For a better understanding of the solution provided here please go through the diagram in the file that has been attached.
As can be clearly seen from the question and the graph, the area is bounded by a straight line 
which passes through the origin, the y axis and the horizontal line 
.
As we can see from the graph, this is a right triangle. To find the point of intersection of the horizontal line y=6 and the line 
, we will have to equate the two as:
Therefore, 
Thus, 
Hence the point of intersection is (12,6) which is depicted on the graph too.
As this is a case of a simple right triangle, the area of the bounded region will thus be:
Let the base be the y=6 line whose length is 12 and let height be the y axis whose length is 6, thus, the area will be:
squared units.
Answer:
Step-by-step explanation:
Answer:
y = 1x+14
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Substitute the point into the equation
10 = -4+b
Add 4 to each side
10+4 = -4+b+4
14 = b
y = x+14
