Answer:
that graph will feature an area delimited by a line of slope m passing through the origin (0,0).
Since m>0 the slope is positive, meaning the line goes up.
Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.
So it will for sure include ALL quadrant II (with -x and +y values) and NONE of the quadrant IV (with +x and -y values) since the line is passing through the origin (0,0).
Answer:
m∠ABC = 68°
m∠DEF = 112°
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (they form a straight line).
If ∠ABC and ∠DEF are supplementary, that means that they add up to 180. We can write this in an equation:
- (6x + 8) + (12x - 8) = 180
Combine like terms.
Divide both sides by 18.
Find the measure of each angle by substituting 10 for x into both expressions for the angles.
m∠ABC = (6x + 8)°
m∠DEF = (12x - 8)°
Answer:
32.40cm²
Step-by-step explanation:
Given the parallelogram ABCD ;
side AB is always Parallel to CD, hence ;
AB = CD = 7.2cm
Perpendicular from C on AB is the height of the parallelogram = 4.5cm
Area of a parallelogram : base * height
Area of a parallelogram = length base * height
Area of a parallelogram = 7.2 cm * 4.5cm
Area of parallelogram = 32.40cm²
for example, let's look at the first set
y+3x =5 or y = -3x+ 5
and y = -3x + 2
y = m + b
the slopes are equal, the y-intercepts differ
that means, they're just parallel lines, no solution
