Answer:
<h3>135°</h3>
Step-by-step explanation:
Find the diagram attached
From the given diagram, since AB is parallel to CD, this means both lines have similar properties.
For the triangle GEF, AFB, ∠GEF = ∠GED - ∠FED
Given ∠GED = 135 and ∠FED = 90
∠GEF = 135-90
∠GEF = 45°
Also, sum of angle in the triangle GEF is 180°, hence;
∠GEF + ∠EGF + ∠GFE = 180°
45°+∠EGF+90° = 180°
∠EGF+135° = 180°
∠EGF = 180-135
∠EGF = 45°
since the sum of angle on the straight line AGF = 180°, then;
∠AGE+∠EGF = 180°
∠AGE+45° = 180°
∠AGE = 180°-45°
∠AGE = 135°
<em>Hence the value of ∠AGE is 135°</em>
The length of given frame is 7 inches
The width of given frame is 5 inches
Assume the thickness of frame is 1 inches (as it is not clear in picture)
Area of square will be 7*5= 35 sq.inch.
Area of hollow surface 5*3= 15 sq.inch.
Area of frame = square area- hollow area= 35-15
Area of wooden portion of frame = 20 sq.inch.
<span>A regular octagon is a closed figure with sides of the same length and internal angles of the same size. so if it is rotated 360 degrees it should coincide with its preimage after every 45 degrees. So 360/45= 8 times</span>
Answer:
2 cats were cared for
Step-by-step explanation:
c= cats
d=dogs
c+d =7
1.5c+3.5d=20.50
c+d =7
solve for d
d = 7-c
substitute into 1.5c+3.5d=20.50
1.5 c + 3.5 (7-c) = 20.50
distribute
1.5c +24.5 -3.5 c = 20.5
combine like terms
24.5 -2c =20.5
subtract 24.5 from each side
-2c = -4
divide by -2
c =2