Answer:
Here's how to do it.
Step-by-step explanation:
The two triangles must be similar, that is, corresponding angles must be equal, as in the diagram below.
1. Find a corresponding pair of sides
Assume that ∆ABC is the original and ∆DEF is its scaled image.
Then, AB and DE are corresponding sides, with lengths of 8 and 12 units , respectively.
2. Set up a ratio
Ratio = side length in image/side length in original = 12/8
3. Simplify the ratio
The simplified ratio is the scale factor (SF).
SF = 12/8 = 3/2 = 1.5
The scale factor is 1.5.
Answer:
4
Step-by-step explanation:
Answer:
There were 40 2-point questions and 9 3-point questions.
Step-by-step explanation:
To solve this situation, write two equations. One for the number of questions and one for the number of points.
Let x be the number of 2 point questions.
Let y be the number of 5 point questions.
x + y = 49
Now since x are each worth 2 points, the total points is 2x.
And since y are each worth 5 points, the total points is 5y.
So 2x + 5y = 125. Substitute one of the equations into the other to solve for the variables.
x + y = 49 becomes x = 49 - y. Substitute it.
2(49-y) + 5y = 125
98 - 2y + 5y = 125
98 + 3y = 125
3y = 27
y = 9
Substitute y = 9 back into the equation x = 49 - y to find x.
x = 49 - 9
x = 40
Answer:
A
Step-by-step explanation:
So, we are given a right triangle and we know that 2x+4 is the length of the hypotenuse and 8 is the length of one of the sides.
Remember that the hypotenuse in a right triangle will always <em>always</em> be the longest side. Therefore, we can write the following inequality:
The answer is A.
