The exterior angle at the intersection of the tangent and secant has a measure that is half the difference between the intercepted arcs.
... ((10x+20) -80)/2 = 2x+15
... 5x -30 = 2x +15
... 3x = 45
... x = 15
So, the unknown arc to the right has measure
.. 10x + 20 = 10·15 +20 = 170
And the arcs of the circle total 360°.
... 80 + z + 170 = 360
... z = 360 - 250 = 110 . . . subtract 250 from both sides
The appropriate choice for the value of z is
... B. 110
Answer:
(A) At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.
Step-by-step explanation:
Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)
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<em>Comment on orientation</em>
If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.
5x6 = 30 divided in half because its a triangle
=15
2x3 = 6
15-6 = 9
Answer:
The answer to your question is Volume = 27.5 ft³
Step-by-step explanation:
Data
Volume = ?
height = 3.9 ft
Circumference = 16.3 ft
Process
1.- Calculate the radius of the Cone
Circumference = 2πr = 16.3 ft
-Solve for r
r = 16.3/2π
r = 16.3/6.28
r = 2.5955 ft
2.- Calculate the volume
Volume = 1/3πr²h
-Substitution
Volume = 1/3(3.14)(2.5955)²(3.9)
-Simplification
Volume = 1/3(82.4966)
-Result
Volume = 27.5 ft³
