Answer:
Step-by-step explanation:
Calculate the scale factor, using the ratio of corresponding sides, image to original.
Using the vertical line image = 4 and original = 6 , then
scale factor = 
=
Answer:
38 sq ft
Step-by-step explanation:
Add together the two triangles plus the rectangle area.
A(triangle1) = 1/2 bh = 1/2 4*4 = 8 sq ft
A(triangle2) = 1/2 bh = 1/2 4*3 = 6 sq ft
A(rectangle) = lw = 8*3 = 24 sq ft
A(total) = 8 + 6 + 24 = 38 sq ft
Angle BAC = (180 - 114) degrees = 66 degrees [angle on a straight line]
Angle OCA = Angle OBA = 90 degrees [angle at the point where the tangent and the radius meet]
Thus, the measure of arc BC = (360 - 66 - 90 - 90) degrees = 114 degrees [sum of interior angles of a quadrilateral]
Angle CDE = (180 - 124) degrees = 56 degrees [angle on a straight line]
Angle OCD = Angle OED = 90 degrees [angle at the point where the tangent and the radius meet]
Thus, the measure of arc CE = (360 - 56 - 90 - 90) degrees = 124 degrees [sum of interior angles of a quadrilateral]
Given that the measure of arc BC is 114 degrees and the measure of arc CE is 124 degrees, thus the measure of arc BE = (360 - 114 - 124) degrees = 122 degrees [angle at a point]
Angle OBF = Angle OEF = 90 degrees [angle at the point where the tangent and the radius meet]
Thus, angle BFE = (360 - 122 - 90 - 90) degrees = 58 degrees.
Answer: B 45º
Step-by-step explanation:
If the sine and cosine are the same, the angles would need to be the same. In an isosceles triangle, the angles are the same and therefore the sine and cosine would also be the same.
4/7 to a percent is about 57 percent.
