N=1 4+7n=71 that is the answer
(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:
1) x = 71
2) x = 117
5)
m<1: 35
m<2: 77
m<3: 52
m<4: 77
m<5: 65
m<6: 25
Step-by-step explanation:
1)
x + 41 + 68 = 180
x + 109 = 180
x = 71
2)
x + 47 + 16 = 180
x + 63 = 180
x = 117
3)
<2 + 103 = 180
<2 = 77
<1 + 68 + 77 = 180
<1 + 145 = 180
<1 = 35
<4 + 103 = 180
<4 = 77
<5 + 41 + 77 = 180
<5 + 115 = 180
<5 = 65
<6 + 65 = 90
<6 = 25
<3 + 103 + 25 = 180
<3 + 128 = 180
<3 = 52
Answer:
I believe UV=45 and RS=114
<h2>
THIS COULD BE WRONG, IF IT IS I'M SORRY, THIS IS THE ANSWER I GOT</h2>
Answer:0.725
Step-by-step explanation:
29/40= 0.725
