Answer:
Step-by-step explanation:
<h3>Arithmetic sequence:</h3>
6th term is 14 ⇒ 
a + (6 - 1)d = 14
a + 5d = 14 --------------(I)
14th term is 6 ⇒
a + (14-1)d = 6
a + 13d = 6 ----------------(II)
Subtract equation (II) from equation(I)
(I) a + 5d = 14
(II) a + 13d = 6
<u>- - -</u>
-8d = 8
d = 8 ÷(-8)
Plugin d = -1 in equation (I)
a + 5(-1) = 14
a -5 = 14
a = 14 + 5
20th term:
= 19 - 19
Given:
In triangle DEF, HG is parallel to DF.
To find:
The value of x.
Solution:
In triangles DEF and GEH,
(Common angle)
(Corresponding angle)
(By AA property of similarity)
We know that corresponding sides of similar triangle are proportional.
Isolating variable terms, we get
Therefore, the value of x is equal to 4.
Answer:
5.0
Step-by-step explanation:
The data in order looks like so:
98.6, 99.7, 100.2, 101.8, 102.9, 103.6
Take the greatest value and subtract it from the least value to get the range of the data:
103.6-98.6=5
5 is your answer
Hope this helps!
Answer:
3602
Step-by-step explanation:
Formula = Population after n years = 2000( 1.04)^n
15 years the population will be 2000(1.04)^15
=3602.
Answer:
12.42 = 1242 / 100;
4.6 = 46 / 10;
12.42 ÷ 4.6 = (1242 / 100) ÷ (46 / 10 ) = (1242 / 100) x (10 / 46 ) = ( 1242 / 46 ) x ( 100 / 10 ) = 27 x 10 = 270;
Step-by-step explanation:
