Answer:
hope this helps
Step-by-step explanation:
Angle _1_and angle _4_ are vertical angle pairs.
Angle _4_ and angle _5_ are an alternate interior pair.
Angle _2_ and angle _6_ are alternate exterior pair.
Angle _1_ and angle _2_ are a linear angle pair.
Angle _2_ and angle _7_ are corresponding angle pair.
Answer:
See attached
Step-by-step explanation:
In the questions, find the equation of the dash line then apply the appropriate inequality sign.
In the first one, take points (-3,2) and (0,1) find the gradient and slope of the line.
slope of line, m=Δy/Δx
Δy=1-2=-1
Δx= 0--3=3
m= -1/3
Finding the equation of the line;
y-1/x-0 = -1/3
3y-3 =-x
3y=-x+3
y=-1/3 x+1
The inequality can be ;
y> -1/3 x +1 or y<-1/3 x +1 depending on the shaded region as attached
In 2.
You have two graphs that provide the solution of the inequality.
In the graph represented by line 1, where you have points (-3,-4) and (-5,-5)
The slope will be,
m=-5--4/-5--3
m=-5+4/-5+3
m=-1/-2 = 1/2
The equation will be;
y--4/x--3= 1/2
y+4/x+3= 1/2
2y+8=x+3
2y=x+3-8
2y=x-5
y=1/2x -2.5
In the line with points (-3,-4) and (1,-6)
m=-6--4/1--3
m=-6+4/1+3
m=-2/4 = -1/2
Finding the equation of the line
y--4/x--3 = -1/2
2(y+4) = -1 (x+3)
2y+8 =-x-3
2y=-x-3-8
2y=-x-11
y= -1/2x-5.5
The inequality can be ;
y>1/2x + 2.5
y> -1/2x -5.5
or
y< 1/2 x +2.5
y< -1/2x-5.5
Depending on the area shaded as show in the attached graphs
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Keywords : Inequalities, graph solutions
#LearnwithBrainly
0.25m + 1.75= 15
Move +1.75 to the right side of the equal sign which becomes -1.75
0.25m=15-1.75
subtract 15 and 1.75 which is 13.25
0.25m=13.25
divide 0.25 by both sides. 0.25m divided by 0.25 is 1m and 13.25 divided by 0.25 is 53.
He can travel 53 miles
0.25m + 1.75= 15
For this case we have by definition that the area of a parallelogram is given by:
Where:
b: It's the base
h: It's the height
According to the data we have:
Substituting in the formula:
The area of the parallelogram is
Answer:
Answer:
2x
Step-by-step explanation:
solve it