![{ \qquad\qquad\huge\underline{{\sf Answer}}}](https://tex.z-dn.net/?f=%7B%20%5Cqquad%5Cqquad%5Chuge%5Cunderline%7B%7B%5Csf%20Answer%7D%7D%7D%20)
In the first sequence,
let's take ratio of the next term with its preceding term, so we will get the common ratio ~
![\qquad \sf \dashrightarrow \: \cfrac{4}{16} = \dfrac{1}{4}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%5Ccfrac%7B4%7D%7B16%7D%20%20%3D%20%20%5Cdfrac%7B1%7D%7B4%7D%20)
So, we can imply that The next term of the sequence is 1/4 times the previous term.
hence, the unknown term will be 1/4 times of previous term.
Therefore, the next term here is 1
In the second sequence,
Do the same procedure as above, we will get common ratio as :
![\qquad \sf \dashrightarrow \: \cfrac{18}{6} = 3](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%5Ccfrac%7B18%7D%7B6%7D%20%20%3D%203)
So, the next term is 3 times the preceding term, that is :
Therefore, the next term is 162
Try this solution/explanation:
1. the rule is: m∠TRP=m∠YTR.
2. using the rule described above, it is possible to write the following equation: 3x=2x+35; ⇒ x=35°
Answer: 35°
<h3>Required Answer:</h3>
Shorter side = 9 cm
<h3>Question:</h3>
The perimeter of a rectangule is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle.
<h3>Let:</h3>
- Length rectangle be a.
- Width of rectangle be b.
<h3>To find?</h3>
- Length of the shorter side of the rectangle.
<h3>Given:</h3>
- Perimeter of rectangle = 44cm
- Area of rectangle = 117cm²
<h3>Answer :</h3>
A/Q
Perimeter of rectangle = 44cm
We know:
p=2(L+B)
.°. ⇒44 =2(a+b)
⇒44 /2 =a+b
⇒22=a+b
So:
a=22-b
b=22-a
Now Let's put values in formula of Area
A/Q
Area of rectangle = 117cm²
We know:
Area =L×B
.°.117=ab
<u>Put</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>b</u><u> </u><u>in</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u>
⇒117=a(22-a)
⇒117=22a-a²=0
⇒a-22a²+117=0
⇒(a- 9)(a- 13) = 0
.°. a=9
a=13cm
Let's put value of a as 13 to find b
⇒b=22-a
⇒b=22-13
⇒b=9cm
So the side having 9cm is shorter i.e. b