Answer:
Graph of the inequality x< -3 as shown below in the figure.
Step-by-step explanation:
Given the inequality: x < -3
Graph of this inequality as shown below in the figure.
All the points that are lie in the shaded area satisfy the equation x < -3 or
In other words, we can say that x can take any value less than -3 .
x ≠ -3 or any number that is greater than -3.
Since there is a strict inequality i.e x < -3 , the points that lie on the line x = -3 does not satisfy the equation.
Therefore, the dotted line is marked at x = -3
Answer:
A: 360
Step-by-step explanation:
Split the trapezoid into 2 shapes
Then find the area of the rectangle on the left:
18 × 15 = 270 square yards
Now for the triangle, first find the base by subtracting the 2 parallel lines:
25 - 15 = 10 yards
0.5(10 × 18) = 90 square yards
Add both areas to find total area:
270 + 90 = 360 square yards
All this can be seen in the figure below:
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles given and equate to 180
4x - 13 + 15 + x + 18 = 180 ( simplify left side )
5x + 20 = 180 ( subtract 20 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
∠A = 4x - 13 = (4 × 32) - 13 = 128 - 13 = 115°
∠C = x + 18 = 32 + 18 = 50°
As a check : 115° + 15° + 50° = 180° ← correct
You draw a hexagon, then draw a triangle in it. Then continue to do it until you get all the triangles that fill up the whole hexagon.
