Answer:
w = 32
Step-by-step explanation:
Remark
The value of the exterior angle (marked w + 33) = the sum of the two angles not connected to it. w and w + 1
Equation
w + w + 1 = w + 33
Solution
2w + 1 = w + 33 Subtract w from both sides.
2w - w + 1 = 33 Combine
w + 1 = 33 Subtract 1 from both sides.
w = 33 - 1
w= 32
Answer:
√16×81 = 4×9 or √1296 = 36
√16×√81 = 4×9 = 36
Step-by-step explanation:
√81×16
We simplify 81 and 16 by prime factorisation (expressing a number as a product of its prime factors).
√81 = √3×3×3×3 = √9×9 = √9² = 9
√16 = √2×2×2×2 = √4×4 = √4² = 4
Do you mean 117 divided by 2.25? If so it would be 52
(1/2,3)(2,3/4)
slope = (3/4 - 3) / (2 - 1/2) = (3/4 - 12/4) / (4/2 - 1/2) =
(-9/4) / (3/2) = -9/4 * 2/3 = -18/12 = -3/2
Answer:
2 sqrt(13)
Step-by-step explanation:
We can find the hypotenuse using the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
4^2 + 6^2 = c^2
16+36 = c^2
52 = c^2
Taking the square root of each side
sqrt (52) = c
sqrt(4*13) = c
2 sqrt(13) = c