Answer:
Step-by-step explanation:
Since the line segment is only being translated and reflected it would still maintain its length. This is pretty much the only characteristic that would remain the same as te original line segment. It would not maintain the same x-axis positions for both endpoints of the line segment. This is because when it is translated 2 units up it is only moving on the y-axis and not the x-axis. But when it is reflected over the y-axis the endpoints flip and become the opposite values.
Hi there!
Let the second angle be represented by x. Now, just use the given information to write expressions for each angle.
Angle 1:
The question says that it is 10 degrees less than the second angle. Therefore, it can be represented by the expression x - 10.
Angle 2:
Represented by x.
Angle 3:
As said in the question, the third angle is 2 times the second angle. This gives us the expression 2 × x, giving us 2x.
Now, take all the expressions and add them up and make them equal to 180 degrees, according to the Triangle Sum Theorem.
x + 2x + x - 10 = 180
4x - 10 = 180
4x = 190
/4 /4
x = 47.5
Therefore, the angle measures are 47.5 degrees, 2(47.5) = 95, and 47.5 - 10 = 37.5 degrees. Hope this helped!
Answer:
The measure of an exterior angle is found by the following formula: Aˆ0B=^AB-^CD2. An interior angle has its vertex at the intersection of two lines that intersect inside a circle. The sides of the angle lie on the intersecting lines. You can find a measure of an exterior angle of a regular polygon with
N sides. It is equal to 360
o
N
.
Step-by-step explanation:
Angles of a general polygon (exterior and interior) with more than 3 sides are not defined by the lengths of its sides.
However, we can calculate the sum of all interior or exterior angles of any convex polygon. It equals to 360
o
.
It can be proven geometrically since each exterior angle describes a rotation by some angle and a sum of all exterior angles describes a rotation by full angle of
360
o
. So, if all exterior angles are equal, like in a regular polygon, each one equals to 360
o
N
.
It can also be defined with some algebraic calculations based on the fact that a sum of all interior angles is (
N
−
2
)
⋅
180
o
.
Dividing the above by N
we will obtain a value of an interior angle: (
N
−
2
)
⋅
180o
N
.
Therefore, exterior angle of a regular polygon is 180
o
−
(
N
−
2
)
⋅
180
o
N
=
360
o
N
Answer:10^2+24^2
Step-by-step explanation:the required expression equivalent to the area of the square A in inches is (10² + 24²).
