Answer:
everything is correct
Step-by-step explanation:
you did a good job
Answer:
<u>77.4 degrees and 12.6 degrees</u>
Step-by-step explanation:
Let the angles be x and x - 64.8.
Therefore, on the basis of knowledge that complementary angles add up to 90 degrees :
x + x - 64.8 = 90
2x = 154.8
x = <u>77.4 degrees</u>
x - 64.8 = 77.4 - 64.8 = <u>12.6 degrees</u>
Answer:
Step-by-step explanation:
1) the triangle is a right angle triangle.
From the given right angle triangle,
With 67° as the reference angle,
x represents the adjacent side of the right angle triangle.
17 represents the opposite side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 67 = 17/x
xTan 67 = 17
x = 17/Tan 67
x = 17/2.3559
x = 7.22
2) From the given right angle triangle, with 24° as the reference angle,
x represents the opposite side of the right angle triangle.
12 represents the adjacent side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 24 = x/12
x = 12Tan 24
x = 12 × 0.4452
x = 5.34
Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)
