The linear inequality that is represented by the graph is; y ≤ One-halfx + 2
<h3>How to Interpret Inequality Graphs?</h3>
The general form of equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, from the inequality graph attached, we can see that we can calculate the slope from;
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(2 - 0)
m = 1/2
We can also see that the y-intercept which is the point where the line crosses the y-axis is; y = 2.
The line is a solid line and not dotted and the shaded part is beneath the line and as such;
The inequality is; y ≤ One-halfx + 2
Read more about Inequality Graphs at; brainly.com/question/11234618
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Answer:
m<AIR = 90 deg
Step-by-step explanation:
I assume the problem contains an error, and that AR is a diameter, not AC.
Look at the diameter of the circle, AR. It passes through the center of the circle, C. You can think of the two radii of the circle, CR and CA, as sides of angle RCA. Since AR is a diameter, and AR is a segment which is part of line AR, rays CR and CA are sides of an angle that lie on a line. That makes the measure of angle RCA 180 deg. Angle RCA is a central angle of circle C since its vertex is the center of the circle.
Angle AIR is an inscribed angle in circle C since its vertex is on the circle itself. If an inscribed angle and a central angle intercept the circle at the same two points, then the measure of the inscribed angle is half the measure of the central angle.
m<AIR = (1/2)m<RCA = (1/2) * 180 = 90
m<AIR = 90 deg
Answer:
x=20
Step-by-step explanation:
Since they are congruent triangles
A = D
3x-10 = 2x+10
Subtract 2x from each side
3x-10-2x = 2x+10-2x
x-10 = 10
Add 10 to each side
x-10+10 = 10+10
x=20
Answer:
m2−20m+72=−3
Step 1: Subtract -3 from both sides.
m2−20m+72−(−3)=−3−(−3)
m2−20m+75=0
Step 2: Factor left side of equation.
(m−5)(m−15)=0
Step 3: Set factors equal to 0.
m−5=0 or m−15=0
m=5 or m=15
Answer:
m=5 or m=15