Question

Can you help me with 10 and 11... thank you

Answer 1

the sum of the intereior angles for a regular polygon with n side is 180(n-2)

so pentaon is 5 sides, n=5
180(5-2)=180(3)=540 degrees
the sum of it's interior angles is 540 degrees



11.
draw diagram

we gotss a right triangle

remember, for any right triangle if the legs are a and b and hytponuse is c then
a²+b²=c²
hypotnuse is longest side
in this case, hytponuse is the diagonal

teh legs are 40 and 24
the hypotnuse is the diagonal

40²+24²=c²
1600+576=c²
2176=c²
sqrt both sides
8√34=c
aprox
c≈46.64
rounded
c=46.6ft

Answer 2

10. Because a pentagon has 5 sides and the sum of all the interior angles of a shape is 360 degrees, you would divide 360 by 5, to get the measure of each interior angle inside the shape. 360/5=72, therefore each interior angle would have a measure of 72 degrees.

11. To find the length of the diagonal of Davey's log cabin, you can use the Pythagorean Theorem, using 40 and 24 as a and b. You would have to solve the equation 40 squared + 24 squared = c squared, were c would represent the length you are finding. If you solve the equation, you find that the length of the diagonal of Davey's Cabin is 46.6 ft.