Answer: C
Step-by-step explanation:
The given graph is a straight line graph.
Slope of a straight line graph is expressed as
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the graph,
y2 = 4
y1 = 1
x2 = 2
x1 = 1
Slope = (4 - 1)/(2-1) = 3/1 = 3
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line parallel to the graph is 3
To simplify, you can divide both the numeratonr(top) and denominator(bottom) by the same number. First divide both by 2 because that is their greatest common factor.
30/4 divided by 2/2
15/2
15/2 is the simplified improper fraction, but as a mixed number it would be 7 1/2<span />
Answer: 68
--------------------------------------
Explanation:
Segment EC is a diameter as it goes through the circle center point O. So arc EDC is 180 degrees in measure.
Arc EDC is composed of the minor arcs DE and DC.
In other words, the two minor arcs mentioned add up to 180 degrees
We want to know DE and we know that DC = 112
So,
(minor arc DE) + (minor arc DC) = arc EDC
(minor arc DE) + (minor arc DC) = 180
(minor arc DE) + (112) = 180
(minor arc DE) + 112 - 112 = 180 - 112
minor arc DE = 68
Answer:
Hence third choice RQ, RP, PQ is correct.
Step-by-step explanation:
We know that if A, B, C are the angles of the triangle and if ∠A > ∠B
a>b {Where “a” is side created by angle A and “b” is side created by angle B }.
We will use same property to decide which side is bigger.
In triangle PRQ,
∠P = 30 degree
∠R = 85 degree
then ∠P + ∠R + ∠Q = 180 {since sum of all three angle of triangle is 180 degree}
30 + 85 + ∠Q = 180
115 + ∠Q = 180
∠Q = 180 - 115
∠Q = 65
Now we know measure of all angles so we can do comparison using above property.
Smallest angle is ∠P so side RQ will be smallest.
Largest angle is ∠R so side PQ will be largest.
Hence we get RQ < RP < PQ.
Hence third choice RQ, RP, PQ is correct.
