(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:
<h3>1:OPTION 3</h3><h3>2:answer already given in older question</h3><h3>3:answer already given in older question</h3><h3>4:SSS</h3><h3>5: complete the box</h3><h3> 1:AD=AC | REASON=BOTH HAVE SAME PERPENDICULAR SEGMENT</h3><h3> 2:CAE=EAD | REASON=BOTH ARE OF SAME DEGREE</h3><h3> 3:AE=CED |REASON=IT CUTES THE ANGLE IN HALF</h3><h3> 4:EAD=CAD |REASON= BOTH TRIANGLE ARE OF SAME SIZE</h3>
Step-by-step explanation:
HOPE IT HELPS
X^2+10x+16＝0
First, you find factors of 16.
1 x 16
2 x 8
4 x 4
Next, you find which of the factor pairs adds up to 10 (from the 10x). In this case, 2 x 8 because 2 times 8 is 16 and 2 plus 8 is 10.
Then, the equation will be written out as: (x+2) (x+8). Take those two equations and set them equal to 0, and then solve.
x+2＝0
-2 -2
x＝-2
x+8＝0
-8 -8
x＝-8
So, your answers are x＝-2 and x＝-8. You can check by plugging in those two numbers as x.
Answer: 5 units
Step-by-step explanation:
The area of a parallelogram is 
. SInce we know the area and the height, we can directly plug the values into this equation and solve for the base.
20=b(4) [divide both sides by 4]
b=5 units
