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.
162 × 1.40
new price = 226.8
That's the beginning of Euler's number ' e '.
It falls between the square roots of 7 and 8 .
Hey ! You know what !
It falls between the square roots of any integer
less than 8 and any integer greater than 7 .
5/20 for Jerome and 8/20 for Mario. combined 13/20
Answer:
D. 62 square feet
Step-by-step explanation:
uz + wx + (v+z)(y-u-w)
6*3 + 4*6 + (7+3)(12-6-4)
18 + 24 + 20 = 62
