Answer:
°
Step-by-step explanation:
The angle shown in the figure is known as an external angle.
Also, <u>in a regular polygon (like the regular octagon) the sum of all the exterior angles is the same regardless of the number of sides of the figure</u>:
°
And to find the measure of a single external angle (such as the angle
shown in the figure) we must <u>divide 360 ° by the number of sides n:</u>

and for the regular octagon, since it has 8 sides:

so the value of x is:
°
the measure of angle x is 45° which is the second option
Answer:
-2y+x
Step-by-step explanation:
x-2y
-2y+x
Answer: 266 boys
Because there are 304 girls we do 304/8=38 now we do 38 multiplied by 7 (as that is the ratio for the number of boys) 38*7=266 boys
Hope this helped
2) If we have 2 points K & M with their coordinates (x₁,y₁) & (x₂,y₂), the the distance of KM is given by the formula:
KM = √[(x₂-x₁)² + (y₂-y1)²] ; K(2,3) & M(5,1) (Given)
KM = √[(5-2)² + (1-3)²] ==>√(9+ 4) ==> KM = √13 (ANSWER D)
3) The coordinates are A(4,7) & B(-3,9). Follow & apply the same methodology as above:
AB =√[(x₂-x₁)² + (y₂-y1)²] ; A(4,7) & B(-3,9) (Given)
AB =√[(-3-4)² + (9-7)²] ==> AB = √[(-7)² + (2)²] ==> √(49+4) =√53 (B)
;