Angle 1. Because angle 4 and 1 are vertical angles and vertical angles are congruent.
Answer:
C
Step-by-step explanation:
according to sine rule,
sin(30)/8=sin(x)/11
solving above equation will give
x=43.3
a. First five terms: 9,13,17,21,25
b. Sum of first 25 terms = 1425
c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.
Further explanation:
Given
Formula of sequence

<u>1. First 5 terms:</u>
For first 5 terms, we have to put n=1,2,...5,
So,

<u>2. Sum of first 25 terms:</u>
For that we have to find 25th term first

The formula for sum is:

<u>3. Type of sequence</u>
The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.
i.e.

Keywords: Arithmetic sequence, Sum of arithmetic sequence
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Answer:
Let C be the cost price of the article. Then:
C(1+30%)=marked price
So:
C(1+30%)=C(1.3)
=1.3C
If the article is then marked down 35%, then its’ price would be:
1.3C(1–35%)=1.3C(.65)
=0.845 or 84.5% of its’ cost
Then:
0.845–1=-0.155
or, a 15.5% loss on the item