We can form a system of equations:
x*y=90
and
x=2y+3.
Solving gives dimensions of 15 feet by 6 feet.
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:
The coastline of alaska is longer than the entire coastline of the lower forty-eight states
Since the triangles are similar, then 32 = x+7 those two angles are too
solve for "x"
now using proportions
solve for JK
solve for KG
the scale factor of the perimeter of both triangles is just the same as the ratio of the sides, or
