Check the picture below.
notice is simply a 5x4 rectangle, and surely you know how to get its area.
Answer:
Reasons:
1. Given
2. Given
3. Definition of bisector
4. Reflexive property
5. SAS Congruence
Step-by-step explanation:
This is quite easy to solve. All that you're expected to do is to complete the reason that justifies each statement given in the two-column proof.
Let's complete the proof as follows:
1. Statement:
1. Reason: Given
We know this statement is true because we are given in the question.
2. Statement: FG bisects <DFE
2. Reason: Given
We also know this because we are told so in the question, as shown in the diagram given.
3. Statement: 
3. Reason: Definition of bisector
We know this because an angle bisector divides an angle into two equal halves. Therefore, the definition of bisector justifies why it was stated that 
4. Statement: 
Reason: Reflexive property.
5. Statement: ∆DFG
EFG
5. Reason: SAS Congruence
Two sides (DF and FG) and an included angle (angle 1) of ∆DFG is congruent two corresponding sides (EF and FG) and an included angle (angle 2) of ∆EFG. Therefore, ∆DFG
EFG by the Side-Angle-Side (SAS) Congruence Theorem.
Find the area of the larger rectangle.
5 x 4 = 20
One of the triangles is 2 x 2. Area of 2. Subtract 2 from 20.
20 - 2 = 18
Another is 2 x 5. Area of 5. Subtract 5 from 18.
18 - 5 = 13
The last is 3 x 4. Area of 6. Subtract 6 from 13.
13 - 6 = 7
The area of the triangle QRS is A, 7.
Hope this helps!
Answer:
perimeter of the fountain = 15π ft. or 47.1 ft. to the nearest 10th
Step-by-step explanation:
The semicircles have a circumference of 1/2πd = 1/2π(10) = 5π
Both semicircles together have a length of 5π + 5π = 10π
The radius of the 1/4 circle is 10, so the diameter is 20
The length of the 1/4 circle's arc is 1/4 times the circumference of its circle
So, the length of that arc is 1/4π(20) = 5π
Now the perimeter of the fountain is 10π + 5π = 15π