What is the value of y?

Mathematics

2 answers:

Alex787 [66]2 years ago

6 0

To answer this you must know that all angles of a triangle have to add up to 180 degrees.

First, you have to write an equation to solve:

114 + 2y = 180

Simplify the equation:

2y = 66

Divide both sides by 2:

y = 33

The answer is B, 33 degrees

Mashcka [7]2 years ago

3 0

Answer: 57

Step-by-step explanation:

The sum of the two inside angles(y + y) , not neighbouring to the outside angle(114), equals to the outside angle) (114

Then

2 y = 114

Y = 57

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Answer: (C) 13,120

<u>Step-by-step explanation:</u>

Given the sequence {4, 12, 36, 108, ... , 8748} we know that the first term (a) is 4 and the ratio (r) is $\dfrac{12}{4}=3$

Input the values above into the Sum formula:

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_8=\dfrac{4(1-3^8)}{1-3}\\\\.\quad=\dfrac{4(1-6561)}{-2}\\\\.\quad=\dfrac{4(-6560)}{-2}\\\\.\quad=-2(-6560)\\\\.\quad=13,120$