All the angles created by the transversal intersecting through a pair of parallel lines have got many names and connections with each other, like Alternate Angles, Corresponding angles, consecutive interior angles etc.
As per the question statement, We are given a pair of parallel lines which is cut by a transversal. We are supposed to mark the following angles.
Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles and Consecutive Interior Angles.
Here is an attached image of the same with angles marked on it.
Alternate Interior Angles: ∠
= ∠
and ∠
=∠
Alternate Exterior Angles: ∠
=∠
and ∠
=∠
Corresponding Angles: ∠=∠ , ∠=∠ , ∠=∠ and ∠=∠
Consecutive Interior Angles: ∠=∠ and ∠=∠
- Parallel Lines: Parallel lines are those straight lines that are, no matter how far they are extended, always the same distance apart from one another.
- Transversal Line: In geometry, a transversal line intersects two lines in the same plane at two different locations.
To learn more about Transversal Line click on the link given below:
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It is solution c. You substitute ABC for DEF.
The standard equation of the circle is:
(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...
so
30.
(x-2)^2+(y-7)^2=16
31.
We need to find the radius...(I'll just use the Pythagorean Theorem)
r^2=6^2+8^2
r^2=36+64
r^2=100 (so the radius is 10) and its center is (-6,-8) so
(x+6)^2+(y+8)^2=100
The surface area of the cube is 150 in^2
Further Explanation:
A cube is a six-faced figure with same side length.
The formula for calculting the surface area of cube is given by:
Here s is the length of side.
Given
Side length =s =5 in
The area of cube is 150 in^2
Keywords: Surface area, Cube
Learn more about cube at:
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I will show you how to do first one but it is simple addition and subtraction.
7y + 5 + (3 - y)
We just combine like terms
7y - y + 5 + 3
6y + 8
I will do the second one for subtraction
5 + 5q - (3q - 9)
since the subtracroon sign is outsiDr patenthesis you have to apply it to both terms
5 + 5q - 3q + 9
since it was -9 it became --9 which is +9
so:
5q - 3q + 5 + 9
2q + 14
