Answer:
1) Yes, it is a right angle triangle
2)Yes, it is a right angle triangle
3) No, they are not similar.
Step-by-step explanation:
Dimension of triangle A = 48, 55 & 73
Dimension of triangle B = 36, 77 & 85
For any of the triangles to be a right angled one, then;
c = √(a² + b²)
Where a,b & c are side dimensions of a triangle.
Thus;
Triangle A: c = √(48² + 55²)
c = √5329
c = 73
This tallies with what we are given and so it is a right angled triangle.
Triangle B: c = √(36² + 77²)
c = √(7225)
c = 85
Similar to the third side dimension of 85, thus it is true.
For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.
Thus, we have;
48/36 = 1.5
55/77 = 5/7
73/85 = 73/85
Since the ratios are not similar, then we can say that the triangles are not similar.
First in order to find the pattern, you need to find the number of pounds that the puppy gained from birth to a week after birth.
5 1/8 - 3 3/4=5 1/8 - 3 6/8=4 9/8 - 3 6/8=1 3/8 pounds gained
(1 3/8)(3)=(11/8)(3/1)=33/8=4 1/8 pounds gained
4 1/8 + 3 3/4=4 1/8 + 3 6/8=7 7/8 pounds at week 3
Answer:
The number is 37
Step-by-step explanation:
The given parameters are;
The unit digit of a two-digit number = 4 + The tens digit
2 × The two-digit number = 1 + The reversed number
Let x represent the unit digit and y represent the tens digit, we have;
x = 4 + y
2 × yx = xy + 1
Which gives;
2 × yy+4 = 2y2y+8
xy + 1 = 4 + yy + 1
y + 1 = 2y + 8 - 10 (we assume that the product of 2 and the unit digit is more than 10 so we subtract 10 from the product to equate the unit digits of the two numbers
10 + 1 - 8 = 2y - y
10 - 7 = y
y = 3
x = y + 4 = 3 + 4 = 7
x = 7
Therefore, the number = 37.
The answer to your question is similar