Answer:
1) yes
2) no
3) yes
4)no
5)no
Step-by-step explanation:
The answer is Vertical angles are equal.
Answer:
58 square feet
Step-by-step explanation:
The room is already broken down into two smaller rectangles.
The smaller of the two measures 4 ft by 2 ft. 
, so substitute 4 for 
and 2 for 
.
(smaller rectangle) 
, or 
.
(smaller rectangle) 
The larger measures 10 ft by 5 ft, so using the same method, multiply times .
(larger rectangle) 
, or 
.
(larger rectangle) 
Add the two rectangles' areas together to find the total area of the room.
8 + 50 = 58
Answer:
DG is 8.75.
Step-by-step explanation:
Because we have an isosceles triangle with a perpendicular bisector, we have two identical triangles which share equal sides. We know DF is 14 and FG is 4x. These are corresponding sides and we set them equal.
4x=14
x= 3.5.
We also know DE=EG and that DE=1.25x.
We substitute this term and x=3.5.
1.25x=EG
1.25(3.5)=EG
EG is 4.375.
We double 4.375 to find the whole segment DG since they are equal halves. DG is 8.75.
Answer: Pigs = 21
Chicken = 45
Step-by-step explanation:
Let the pigs be represented by p
Let the chicken be represented by c.
From the question,
p + c = 66
4p + 2c = 174
4 × ( p + c = 66)
1 × (4p + 2c = 174)
4p + 4c = 264
- 4p + 2c = 174
2c = 90
c = 90/2 = 45
There are 45 chickens
Simce the farmer has a total of 66 animals, the number of pigs will be:
= 66 - 45
= 21 pigs
