Find the measure of arc EC.
Circle A with chords EF and CD that intersect at point G, the measure of arc EC is 5x degrees, the measure of angle EGC is 7x degrees, and the measure of arc DF is 90 degrees.
Answers
Answer:
50
Step-by-step explanation:
[tex]7x = (90 + 5x) \times \frac{1}{2} [/tex]
[tex]7x = {2.5x} + 45[/tex]
[tex]4.5x = 45[/tex]
[tex]x = 10[/tex]
Plug 10 in for x.
[tex]5(10) = 50[/tex]
The measure of arc EC is 50. Exterior angle theorem is used in the given problem.
What is the sum of a regular polygon's outer angles?The sum of the exterior angles of a regular polygon with any number of sides equals 360°.
The exterior angle of a polygon is the angle of rotation between one extended side and its neighboring side, which is not extended.
Furthermore, because the polygon is regular, even though it has 'n' sides, all the outside angles have the same measure, and hence their measure is (360/n)°.
The measure of arc EC is found as;
[tex]\rm 7x = (90+5x)\times \frac{1}{2}\\\\ 7x=2.5x+45\\\\ 4.5 x=45 \\\\ x=10[/tex]
From the diagram,he EC is 5x . The measure of arc EC is;
EC=5x
EC=5×10
EC=50
Hence,the measure of arc EC will be 50.
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I can’t figure it out
5 = 5 ( x + 6 )
Answers
x = -5
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5 = 5 (x + 6)
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Hopefully this helped!
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Step-by-step explanation:
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A certain forest covers an area of 4900 km². Suppose that each year this area decreases by 5.75%. What will the area be after
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Answers
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Step-by-step explanation:
y = 4900(1 - .0575)^5
y = 4900(0.9425)^5
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Answers
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3 rows
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Answers
Answer:
x=10.247
y=52.02
z=37.98
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Answers
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Step-by-step explanation:
A rectangular park measures 100m by 60m. A path of constant width is to be paved around the perimeter. The mayor wants to ensure that the resulting area is 6400m2. Find the width of the path. (Round to the nearest tenth.)
Answers
Answer: 20
Step-by-step explanation:
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The constant width of the path is 20 m.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
Length of park = 100 m
Breadth of park = 60 m
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Answers
Answer:
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step
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= 62 ° ÷ 2
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Answer:
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Answer:
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Answers
Answer:
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