There are several conditions where triangles can be proved similar:
AA - where two of the angles are same.
SAS - where two sides of a triangle compare to the corresponding sides in the other are in same proportion, and the angle in the middle are equal.
SSS - Where all sides in a triangle and the corresponding sides are in the same proportion.
In the case above, we can only use the method of SAS, as only two sides of the triangles are given.
<HMG = <JMK (vertically opposite angles)
HM/MK = 8/12 = 2/3
GM/MJ = 6/9 = 2/3
As the two sides of a triangle comparing to the corresponding sides in the other are in same proportion, and the angle in the middle are equal, the above triangles are similar, with the prove of SAS.
Therefore, the answer is C.yes by SAS.
Hope it helps!
Answer:
Step-by-step explanation:
Given
Joaquin's score is 
and Trisha's score is 
Arranging score in order of value we get
Joaquin's : 
Trisha's : 
as no of values is even therefore their median is
Joaquin's
Trisha's 
Therefore median of Joaquin's is lower
Thus Joaquin wins the game
Answer:
5.51 meters
Step-by-step explanation:
For this case, the first thing we must do is define a variable.
We have then:
x: unknown number
We now write the equation that models the problem:

From here, we clear the value of x.
We multiply both sides of the equation by 2:

We subtract 30 on both sides of the equation:

Answer:
The value of the unknown number is given by:

Answer:
Step-by-step explanation: