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2 years ago

I need to solve for x

Mathematics

1 answer:

Andrei [34K]2 years ago

7 0

Answer:

x = 10

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.

In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.

Establish the following equation according to the exterior angle theorem:

< V + < W = < JUV

88° + (5x + 1)° = (14x - 1)°

Solve for x algebraically:

88° + 5x + 1 = 14x - 1

89 + 5x = 14x - 1

89 + 1 + 5x = 14x - 1 + 1

90 + 5x = 14x

90 + 5x - 5x = 14x - 5x

90 = 9x

90/9 = 9x/9

10 = x

Therefore, the value of x = 10.

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9/11 - 1/2 in it's simplest form

Murrr4er [49]

Answer:

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Step-by-step explanation:

Step 1: Define/explain.

To subtract fractions with different denominators, you must first find the least common denominator (LCM).

You can do this by listing the multiples of each denominator.

Step 2: Solve.

11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

22 is the LCM.

Now, we change the fractions to where they both have denominators of 22.

**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**

$9/11*2/2=18/22$

$1/2*11/11=11/22$

Now, subtract as normal.

$18/22-11/22=7/22$

$7/22 (simplified).$

Step 3: Conclude.

Therefore, 9/11 - 1/2 = 7/22.

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3 years ago

f(x)={x+1]^2 Determine for each x-value whether it is in the domain of f or not. (-2 y/n} { -1 y/n} {9 y/n}

kvv77 [185]

Answer:

all are "yes"

Step-by-step explanation:

A polynomial is defined for all values of x. None are excluded. Every value listed is in the domain of f(x) = (x +1)².

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Alexxandr [17]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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