Answer:
The sum of interior angles of given polygon is 900°
Step-by-step explanation:
A regular polygon is a n-sided figure with n sides and the length of all sides is same.
In the diagram, we have a polygon with 7 sides.
The formula given is used to calculate the sum of interior angles of a polygon

Here n is the number of sides of polygon
In the given polygon
n = 7
So,

Hence,
The sum of interior angles of given polygon is 900°
-6 7/8 /(-3 3/4)
55/8X4/15
11/6
1 5/6
Answer:
When we have a set of N elements, the number of combinations of K elements (such that N ≤ K) from these N elements is:

Then if we have 8 different types of carpet, and we want to see how many different samples of 3 types we can choose, we just need to replace N by 8, and K by 3 in the above equation:

So there are 56 different samples.
Now we can do the same, but this time we want to use 5 types of carpet, then we will have K = 5.

Again, we have 56 different samples.
Answer:
XY=8
Step-by-step explanation:
In △XYZ, XY=XZ
It is isosceles triangle whose equal sides are XY=XZ
We are given,
XY=2a
YZ=3a+1
XZ=5a-12
XY=XZ
So, 2a=5a-12
Solve for a,
2a-5a=-12
-3a=-12
a=4
Now we put a=4 into XY=2a
So, XY=2(4)=8
The statement EF=2.GF (Option A) and the statement
(Option C) are true for the ΔEFG.
<h3>What are trigonometric ratios?</h3>
The six trigonometric ratios of a right-angle triangle are Sin, Cos, Tan, Cosec, Sec and Cot. Trigonometric ratios are used to measure the sides of the right triangle.
Given that in ΔEFG, m∠E=30°, m∠F=60° and m∠G=90°.
Wow, sin 30°
⇒
⇒EF=2.GF
and sin 60°
⇒
⇒
Therefore, the statement EF=2.GF (Option A) and the statement
(Option C) are true for the ΔEFG.
To learn more about trigonometric ratios visit:
brainly.com/question/1201366.
#SPJ1