Answer:
x=17
Step-by-step explanation:
This should be for a "kite": AD=DC, AB=BC and ∠A=∠C
8x-27 = 3x+58
5x = 85
x = 17
Answer:
3.75
Step-by-step explanation:
That is the decimal
Answer:

Step-by-step explanation:
Given:
Fifth term of a geometric sequence = 
Common ratio (r) = ¼
Required:
Formula for the nth term of the geometric sequence
Solution:
Step 1: find the first term of the sequence
Formula for nth term of a geometric sequence =
, where:
a = first term
r = common ratio = ¼
Thus, we are given the 5th term to be ¹/16, so n here = 5.
Input all these values into the formula to find a, the first term.




Cross multiply

Divide both sides by 16



Step 2: input the value of a and r to find the nth term formula of the sequence
nth term = 
nth term = 

The height of the pole at which the monkey is at the top is 10.2 feet.
<h3>
Trigonometric ratio</h3>
Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.
Let h represent the height of the pole, hence using trigonometric ratio:
tan(23) = h/24
h = 10.2 feet
The height of the pole at which the monkey is at the top is 10.2 feet.
Find out more on Trigonometric ratio at: brainly.com/question/4326804
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