Answer:
65°
Step-by-step explanation:
From the figure we can see a circle.
It is given that, measure of arc AD = 80° therefore m<ACD = 80/2 = 40°
Also m<D = 75°
<u>To find the measure of <DCQ</u>
We know that, an angle made by a tangent and chord is equal to the angle made by the angle made by the chord on other side of the circle.
Here m<DCQ = m<CAD
By using angle sum property,
m<CAD + m<ACD + m<D = 180
m<CAD + 40 + 75 = 180
m<CAD + 115 = 180
m<CAD = 180 - 115 = 65°
Therefore m<DCQ = m< CAD = 65°
The correct answer is third option.
Answer:
Step-by-step explanation:

Could you confirm to me that this is in fact the problem? Do not report. I will edit this answer once you answer my question.
B
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 5x + 3 is in this form with slope m = 5
To decrease the slope we require a smaller, positive value for m
y = x + 3 has m = 1 which is less than 5 and positive
y = x + 3 is less steep than y = 5x + 3
Ok, I cant see the image because I'm on a school laptop but I can tell you that if there are infinite solutions you will sbasically see one line on the other . the simple definition of a solution is just the point that the two or more lines all cross. so look at it and see howmany intercecting points there are.