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.
1.)18 = 2(4 + x) ||
2.) 18 = 8 + 2x --- Distribute. ||
3.) 10 = 2x --- Isolate the variable by collecting like terms ||
4.) 5 = x
I'd say A. is a good choice.
Answer: To solve these types of questions what I always do is get a protractor if you have one and put it up against to where the dot is in the middle of the empty hole and then get a ruler or a pencil and make the line keep going to see what angle. In this case your answer is 65% I think.
Exp prob (red) = 24 / 60 = 4 / 10 = 2/5
Theoretical prob (red) = (1/2)
Exp prob (blue) = 14 / 60 = 7 / 30
Theoretical prob (blue) = 1/6
Exp prob ( yellow) = 22/ 60 = 11/30
Theoretical prob ( yellow) = 2/6 = 1/3
Answer:
5/6
Step-by-step explanation:
