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:
Step-by-step explanation:
We are letting <em>d</em> represent the number of drinks and<em> p</em> represent the number of pizza slices.
We know that each drink <em>d</em> costs <em>$2</em>. We also know that each pizza slice <em>p</em> costs <em>$4</em>. They spent a total of $28. Therefore:
We also know that 9 items was purchased all together. So, the total number of drinks <em>d </em>and pizza slices <em>p</em> sum to 9:
Therefore, our system of equations is:
<h3>
</h3>
Here given angle B = 71°, side a = 11 cm, side c = 18cm.
We have to find the area of a triangle.
There is a formula to find the area of a triangle when two sides and angle between them given.
The formula is 1/2 × a × c × sin (B)
So, the area of the triangle
= 1/2 × 11 × 18 × sin(71°) cm²
= 1/2 × 11 ×18 × (0.945518575599) cm²
=1/2 × (187.212677968602) cm²
= 93.606338984301 cm²
We have to round the answer to the nearest hundredth.
So the required area of the triangle = 93.61 cm²
1) total $ = 2543
2) x -> printer y-> computer z -> scanner
3) y = x + 1502
4) x = z + 123 -> x - 123 = z
5) 2543 = (x + 1502) + (x - 123) + x
6) 2543 = x + 1502 + x - 123 + x
7) 2543 = 3x + 1379
8) 2543 - 1379 = 3x
9) x = 388$
10) y = x + 1502
11) y = 1890$
computer costs 1890$
Answer:
D. 40.0km
Step-by-step explanation:
When rounding to 3 significant figures, we will have to look at the 4th significant figure. If that figure is 1-4, you round the 3rd figure down. If that figure is 5-9, you round the 3rd figure up.
In this case, the 3rd figure is the tenth 9 and the 4th figure is the hundredth 7.
Since 7 is from 5-9, you round the tenth 9 up. This adds one whole to 39, which makes it 40. You also need to keep 3 significant figures so the decimal zeros are significant. Thus, the answer is 40.0km
