∠ a: x
∠ b: x
∠ c: x + 21
∠ d: x - 53
∠ a + ∠ b + ∠ c + ∠ d = 360 <em>sum of the angles of a rectangle is 360° </em>
(x) + (x) + (x + 21) + (x - 53) = 360
4x - 32 = 360
4x = 392
x = 98
∠ c: x + 21 = (98) + 21 = 119
∠ d: x - 53 = (98) - 53 = 45
Answer: ∠ a = 98°, ∠ b = 89°, ∠ c = 119°, ∠ d = 45°
Answer:
x = -4
Step-by-step explanation:
2x + 9 (x-1) = 8(2x + 2) -5
2x + 9x - 9 = 16x + 16 - 5
11x - 9 = 16x +11
-9 = 5x +11
-20= 5x
x= -4
Up 7 units, left 3 units
Or the vector (-3,7)
Answer:
18
Step-by-step explanation:
( 3 + √3 ) ( 5 - √2 )
= 3 ( 5 - √2 ) + √3 ( 5 - √2 )
= 15 - 3√2 + 5√3 - √6
√2 = 1.41 ( approximately )
3√2
= 3 x 1.41
= 4.23
√6 = 2.44
√3 = 1.73
5√3
= 5 x 1.73
= 8.65
15 - 3√2 + 5√3 - √6
= 15 - 4.23 + 8.63 - 2.44
= 15 + 8.63 - 4.23 - 2.44
= 15 + 8.63 - 6.67
= 15 + 1.93
= 16.93
Rounding of 16.93 = 17
17 is near to 18.
So, 18 can be the answer.
The answer for 3/4 as a ratio is 0.75