(9)
<em>x</em> ° = 1/2 (130° - 30°) = 50°
(due to a theorem about intersecting secants/tangents)
(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then
<em>x</em> ° = 1/2 (240° - 120°) = 60°
(due to the same theorem)
(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that <em>y </em>° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and <em>x</em> ° is the measure of each arc that passes over an edge of the pentagon.
Each arc makes up 1/5 of the circle's circumferece, so
<em>x</em> ° = 360°/5 = 72°
The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)
The angles formed by the tangent to the circle are supplementary, so that
<em>y</em> ° + 108° + <em>y</em> ° = 180°
2<em>y</em> ° = 72°
<em>y</em> ° = 36°
Answer:
Intercepts at (-1, 0) and (0, 1).
Step-by-step explanation:
The double intercept form for the equation of a line is
ax + by = 1
-1 = -y + x
<em> y = 0
</em>
<em> </em>x = -1 Multiply each side by -1
-x = 1
The <em>x-intercept</em> is at (-1, 0).
=====
<em> x = 0
</em>
-1 = -y Multiply each side by -1
y = 1
The <em>y-intercept</em> is at (0, 1).
=====
The graph (see below) is a straight line passing through the points (-1, 0) and (0, 1).
Answer:
3
Step-by-step explanation:
X+5=2x+2
Subtract 2 from both sides:
X+3=2x
Subtract x from both sides
3=x
x=3
Answer:
A. The function is Nonlinear.
Answer:
4 : 13
Step-by-step explanation:
Divide both numbers by 6
