Which fraction represents this graph?
1 answer:
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Answer:
a) the common difference is 20
b)
c) the common difference is -13
d)
Step-by-step explanation:
a) what is the common difference of the sequence xn
Looking at the table, we get x_3=16, x_4=36 and x_5= 56
Deterring the common difference by subtracting x_4 from x_3 we get
36-16 =20
So, the common difference is 20
b) what is x_8? what is x_12
The formula used is:
We know common difference d= 20, we need to find
Using we can find
So, We have
Now finding
So,
Now finding
So,
c) what is the common difference of the sequence
Looking at the table, we get a_7=104, a_8=91 and a_9= 78
Deterring the common difference by subtracting a_7 from a_8 we get
91-104 =-13
So, the common difference is -13
d) what is a_12? what is a_15?
The formula used is:
We know common difference d= -13, we need to find
Using we can find
So, We have
Now finding , put n=12
So,
Now finding , put n=15
So,
Answer:- B. No, because the corresponding congruent angles listed are not the included angles.
Explanation:-
Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.
Now, look at the attachment
We can see that ∠X and ∠C are not included angles by the corresponding equal sides.
⇒ We cannot use SAS postulate to show ΔWXY ≅ ΔBCD .
⇒ B is the right option.
SAS postulate tells the if two sides of a triangle and their included angle is equal to the two sides of a triangle and their included angle of another triangle then the two triangles are congruent.
