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:
True
Step-by-step explanation:
Required
Does dilation preserve angle measure?
When a point, side, line, or angle is dilated; the length of the line will be altered by the ratio or scale of dilation.
However, the measure of angle will remain the same.
<em>Hence, the given statement is true.</em>
Answer: 
Step-by-step explanation:
(a) Given
Sam charge $5 for each dog for a thirty minute walk
For an hour which is double the thirty minutes, it must be double of the same charge.

(b)Given
With $20, Christie sells 100 cups of lemonade with a quarter per cup charge
For 100 cup, she generate a revenue of

So, she earns
that is , her profit is 
1). not a -27
2). -8x = -96 (x = 12)
3). y = -150
Answer:
maybe since the rhombus is divided into triangles it'll be easier. x = 8
Step-by-step explanation:
the total degrees in a triangle would be 180 and the inner little angles would be 90 degrees so you would solve for (7x - 1) + (4x + 3) + 90 = 180 so 11x + 2 = 90 so 11x = 88 so x = 8
hope this helps!