Answer:
I hope it gets easier for you :)
Answer:
Scale factor of 1/3
Step-by-step explanation:
Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
Answer:A) -4/3 B) 1/2 C) -5/4
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
For A) let (x1, y1) = (8, -7), (x2, y2) = (5, -3)
Slope = (-3 -(-7)) / (5 - 8) = 4/-3
For B) let (x1, y1) = (-5, 9), (x2, y2) = (5, 11)
Slope = (11 - 9) / (5 - (-5)) = 2/10 = 1/2
For C) let (x1, y1) = (-8, -4), (x2, y2) = (-4, -9)
Slope = (-9 -(-4)) / (-4 - (-8)) = -5/4
Formula:
x + 2(x+1) = 17
x + 2x + 2 = 17
3x + 2 = 17
3x = 15
x = 5
So, the answer is 5 and 6
Hope this helped!
