Answer:
16 runs.
Step-by-step explanation:
We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.
We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.
Since we know that formula for nth term of an arithmetic sequence is:
, where,
,
,
,
.
Since on the first day Jessie scored 2 runs, so
and difference between two consecutive terms is 2 (4-2=2), so d will be 2.
Upon substituting our values in arithmetic sequence formula we will get,



Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is
.
Let us find the 8th term of sequence by substituting n=8 in our sequence formula.


Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.
Answer:
Step-by-step explanation:

Answer:
option B. MB/AM=NC/AN
Step-by-step explanation:
we know that
The <u><em>Triangle Proportionality Theorem</em></u> states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally
In this problem
MN is parallel to BC
MN intersect AC and divide into AN and NC
MN intersect AB and divide into AM and MB
so
Applying the Triangle Proportionality Theorem

Rewrite
