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:
The first 5 terms are 2, 5, 8, 11, 14.
Step-by-step explanation:
- You use the formula to find out each term.
- f(n)=3n-1 starting with n=1. If n=1 that is the 1st term, if n=2 that is the 2nd term, and so on. n means what number term it is.
- Now to find each term:
- n=1: f(1)= 3(1)-1= 3-1= 2 The 1st term is 2
- n=2: f(2)= 3(2)-1= 6-1= 5 The 2nd term is 5
- n=3: f(3)= 3(3)-1= 9-1=8 The 3rd term is 8
- n=4: f(4)= 4(3)-1= 12-1= 11 The 4th term is 11
- n=5: f(5)= 5(3)-1= 15-1= 14 The 5th term is 14
So the first 5 terms are 2,5,8,11,14
Answer:
7/8 > 2/5
Step-by-step explanation:
7/8 is greater than 2/5.
Answer: look at the picture
Step-by-step explanation:
Simplify both sides of the equation.
<span><span><span><span>3/5</span>n </span>+ 15 </span>= <span><span><span>2/5</span>n </span>+ 10
</span></span>Subtract 2/5n from both sides.
<span><span><span><span><span>3/5</span>n </span>+ 15 - </span><span><span>2/5</span>n </span></span>= <span><span><span><span>2/5</span>n </span>+ 10 - </span><span><span>2/5</span>n</span></span></span><span><span><span><span>15</span>n </span>+ 15 </span>= 10
</span>Subtract 15 from both sides.
<span><span><span><span><span>1/5</span>n </span>+ 15 - </span>15 </span>= <span>10 - 15</span></span><span><span><span>1/5</span>n </span>= -<span>5
</span></span>Multiply both sides by 5.
<span><span>5 </span></span>× (1/5n) = (5) × (−5)<span>n = -<span><span>25
Answer: n is -25.</span></span></span>
