Answer:
the angle x would still be the same when you dilate the same triangle. if x was 87 degree on the small triangle and then dilate it larger, the value of x would still be 87 degree.
Yes, they are.
If the triangles have three corresponding angles equal means that they are either similar or congruent.
The definition of congruent means that the sides have the same length. That is precisely what the statement says.
So, being the lengths of the corresponding angles the same the two triangles are identical, this is they are congruent.
Answer:
y = 3x + 15
Step-by-step explanation:
1. Find the reciprocal of the slope and change signs: -3
2. y = 3x + b
3. Plug in x and y --> b = 15
4. Make your equation using y = mx + b: y = 3x + 15
Answer:
4,212 people
Step-by-step explanation:
We are given;
- Dimensions of the football field are 120 yards by 54 yards
- 26 players can fit in a box measuring 5 yards by 8 yards
We are required to determine the number of people that can fit in the football field.
- We are going to get the area of the field first;
Area = length × Width
Area of the field = 120 yards × 54 yards
= 6480 square yards
- Then we get the area of the box
Area of the box = 5 yards × 8 yards
= 40 square yards
- We then determine the number of boxes that can fit in the football field
Number of boxes = Area of the foot ball field ÷ Area of one box
= 6480 sq yards ÷ 40 sq yards
= 162 boxes
But, 26 people can fit in one box
Therefore,
Total number of people that can fit in the field is given by multiplying the number of boxes that can fit in the field by the number of people in a box
That is, Number of people = 26 players × 162 boxes
= 4,212 people
Therefore, the number of people that can fit in the football field is 4,212 people.