Answer:
1st quadrant
Step-by-step explanation:
I guess what you are asking is what is the measure of the central angle?
arc length = radius * central angle (in radians)
central angle (in radians) = arc length / radius
central angle (in radians) = 12 / 10
central angle (in radians) = 1.2 radians =
<span>
<span>
<span>
68.7549</span></span></span> degrees
Answer:
<E = 36 degrees (Answer B)
Step-by-step explanation:
Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:
<E + <F + <G + <H = 360
Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G and <E = <H .
The previous equation then can be written as:
<H + <G + <G + <H = 360
Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:
<H + 4 <H + 4 <H + <H = 360
10 <H = 360
divide both sides by 10 to isolate <H
<H = 360 / 10
<H = 36
Since as we mentioned, <E equals <H, we can state that
the measure of <E = 36 degrees (Answer B)
Answer:
Step-by-step explanation:
The two inside angles will sum to 180°.
The top to angles are equal.
Think about this as what if both of the parallel lines were intersected by a perpendicuar line. Every angle would be a right triangle 90°. The inside angles will sum to 180° and the opposite angles are again equal.
(2x + 18) + (8x + 12) = 180
10x + 30 = 180
10x = 150
x = 15
-------------------------
(3y - 18) = (8x + 12) x = 15
(3y - 18) = (8(15) + 12)
(3y - 18) = (120 + 12)
(3y - 18) = 132
3y = 132 + 18
3y = 150
y = 50
Answer:
A. y = 3x + 3
Step-by-step explanation:
Slope = change in y / change in x
From 3 to 5 (x) = +2
From 12 to 18 (y) = +6
slope, m = 6/2 = 3
Using point slope form
y - y1 = m (x - x1)
y - 12 = 3 (x - 3)
y - 12 = 3x - 9
y = 3x -9 + 12
y = 3x + 3
