Answer:
x = 135°
Step-by-step explanation:
6 sided polygon = hexagon
The sum of the interior angles of a hexagon = 720°
⇒ 4x + 90 + 90 = 720
⇒ 4x = 720 - 90 - 90
⇒ 4x = 540
⇒ x = 540 ÷ 4
⇒ x = 135°
Answer:
471ft^3
Step-by-step explanation:
5^2 x 6 x 3.14
25 x 6 = 150
150 x 3.14 = 471
Answer:
256/3 = 85 1/3 square inches
Step-by-step explanation:
The dimensions of the first inscribed triangle are 1/2 those of the original, so its area is (1/2)² = 1/4 of the original. The area of the original is ...
A = (1/2)bh = (1/2)(16/√2)(16/√2) = 64 . . . . square inches
The sum of an infinite series with first term 64 and common ratio 1/4 is ...
S = a1/(1 -r) . . . . . . for first term a1 and common ratio r
= 64/(1 -1/4) = 64(4/3) = 256/3 . . . . square inches
The sum of the areas of the triangles is 256/3 = 85 1/3 square inches.
A segment bisector is a segment, ray, line, or plane that intersects a given segment at its midpoint.
For example, in the diagram shown, line SQ bisects segment PR because line SQ intersects segment PR at its midpoint which is Q.
Answer:
k = 4
Step-by-step explanation:
-9 +8k = 7+4k
Subtract 4k from each side
-9 + 4k = 7
Add 9 to each side
4k = 16
Divide by 4
k = 4
Plug in the value you got for k:
-9 + 8(4) ? 7 + 4(4)
-9 + 32 ? 7 + 16
23 ? 23
23 = 23
