Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°
To Find: The length of the park's boundary to the nearest yard.
Calculation:
The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc
or, (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)
or, (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 209.33 yards
or, (P) = 309.33 yards ≈309 yards
Hence, the option D:309 yards is the correct option.
Answer: 3/2 s-6
hope i helped
if you can give me brainliest that would be great
Answer:

Step-by-step explanation:
Hello There!
<u>Geometry</u>
The angles shown represented by the expressions (11x + 5) and (5x+59) are vertical angles
Vertical angles are congruent so we can use this equation to solve for x
<u>Basic Algebra</u>
11x + 5 = 5x + 59
step 1 subtract 5x from each side
5x - 5x cancels out
11x - 5x = 6x
now we have 6x + 5 = 59
step 2 subtract each side by 5
5 - 5 cancels out
59 - 5 = 54
now we have 54 = 6x
step 3 divide each side by 6
6x/6=x
54/6=9
we're left with x = 9
now we want to plug in 9 into x for one of the expression
11(9) + 5
11 * 9 = 99
99 + 5 = 104
so we can conclude that the measure of the angle labeled ( 11x + 5 ) is 104 degrees
Now we need to find z
<u>Geometry</u>
The angle with a measure of 104 and angle Z are supplementary angles meaning that the sum of the two is 180
So to find z we subtract the known angle (104) from 180
180 - 104 = 76
so we can conclude that z = 76
Kevin is incorrect because x+x is adding two numbers, but x^2 is multiply.