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2 years ago

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Readme [11.4K]2 years ago

7 0

Using the side-splitter theorem, the segment length that would complete the proportion is GJ.

<h3>How to illustrate the information?</h3>

It should be noted that the side splitter theorem states that when a line intersects two sides of a triangle and is also parallel to the third side, then it'll divide the sides proportionally.

From the information given, it can be deduced that EF and HJ are parallel while H is on the side EG and J is on GF. Therefore, according to the theorem, GH/HE = GJ/JF

Therefore, the correct option is GJ.

Learn more about theorem on:

brainly.com/question/16922879

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Within the set of whole numbers , one set of numbers satisfies the recursive formula an=(an-1)^2-an-1, when a4=870 what are the

andrew11 [14]

Answer: 3 and 6 will be the first and second term of the given series respectively.

Explanation: since it is given- $a_n=(a_{n-1} )^2-a_{n-1}$ and $a_4=870$

so, by replacing n by 4, we will get- $a_4=a_3^2-a_3$ ⇒870= $a_3^2-a_3$ ⇒ $a_3^2-a_3-870=0$

after solving this equation we will get, $a_3= -29$ and 30.

If $a_3= -29$ , but it is not a whole number.

Thus, $a_3=30$ will be the value of third term of the given series.

Again, by applying the given condition $a_n=(a_{n-1} )^2-a_{n-1}$ , $a_2= 6$ or -5 (not possible), so, $a_2=6$ will be the second term.

Similarly, $a_1=3$ or -2 but we will go to the whole number.

Thus, $a_1=3$ will be the first term.

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