Answer:
27 degrees
Step-by-step explanation:
We are given that Angle AEF is 63. We can also see that EAF is a right angle. Since angles in a triangle add up to 180, we can use this to solve for AFE:
Angle AEF + EAF + AFE = 180
63 + 90 + AFE = 180
153 + AFE = 180
AFE = 27
<em>Or we can solve it another way</em>
Since EAF is a right angle, the other angles are complementary (they add up to 90) so...
Angle AEF + AFE = 90
63 + AFE = 90
AFE = 27
Yes - they have to be similar. Since they are using the same line as the hypotenuse, the ratio of the other two sides are in the same ratio (ie, the slope of the line), the 3 inner angles will be the same. Thus, the triangles will be similar.
Answer:
B.
Step-by-step explanation:
Hope this helps!
Given:
width of bookshelf no greater than 6 1/2 feet
purchased bookshelf that is 77 inches wide
We need to find the equivalent value in feet of the purchased bookshelf.
1 foot is equal to 12 inches
77 inches * 1 foot/12 inches = 77 ft/12 = 6 5/6 ft
Or we can convert the feet into inches:
6 1/2 feet convert to improper fraction.
((6*2)+1)/2 = 13/2 feet
13/2 ft * 12 inches/1ft = (13 * 12)/2 = 156/2 = 78 inches
Compare the maximum width of 78 inches to the actual width of 77 inches.
The purchased bookshelf can fit between two windows.
