<h2>
Hello!</h2>
The answer is:
The length of "x" is equal to 4 units.
<h2>
Why?</h2>
To solve the problem and find the length of x, we need to remember the alternate angles rule. The alternate angles rule establish that alternate angles will be also equal.
So, for the triangles, we have:
The angle((α)) formed between the base (2.5) and the hypotenuse (5) of the big triangle is equal to the angle(α) formed between the base (2) and the hypotenuse (x) of the small triangle. It also means that the triangles are similar since they have congruent angles(α) and proportional sides (SAS).
We are given:
First triangle,
Second triangle,
So, using the cosine identity, we have:
Therefore, we have that the hypotenuse of the second triangle (x) is equal to 4 units.
Hence, the length of "x" is equal to 4 units.
Have a nice day!
Answer: 35
Step-by-step explanation:
-3150M-65b+155b
-3150m+92b
3150/92= 34.23913043 so about 35
Answer:
The Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Step-by-step explanation:
We know that a geometric sequence has a constant ratio 'r'.
The formula for the nth term of the geometric sequence is
where
aₙ is the nth term of the sequence
a₁ is the first term of the sequence
r is the common ratio
We are given the explicit formula for the geometric sequence such as:
comparing with the nth term of the sequence, we get
a₁ = 125
r = 1/5
Recursive Formula:
We already know that
We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.
i.e.
Thus, substituting r = 1/5
and a₁ = 125.
Therefore, the Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Answer:
Tim
Step-by-step explanation:
Tim drove 62 miles per hour you get this by dividing 217 by 3.5 and then you divide Emily's. 244/4 and you get 61
