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3 years ago

Solve for x !!!!!!!!

Mathematics

1 answer:

Usimov [2.4K]3 years ago

6 0

<h3>Answer: x = 12</h3>

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Work Shown:

I'm assuming the diagram shows that interior angles F and G are 24 and 12+5x respectively.

We can use the remote interior angle theorem to get:

(interior angle F)+(interior angle G) = exterior angle FEH

(24) + (12+5x) = 8x

5x+36 = 8x

36 = 8x-5x

36 = 3x

3x = 36

x = 36/3

x = 12

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Step-by-step explanation:

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3 years ago

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a_sh-v [17]

Answer:

Step-by-step explanation:

2 Loaves of Bread is = 2.25*2 = 4.5 cups

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2 years ago

Read 2 more answers

Given f(x) =

sergejj [24]

Answer:

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = \left\{ \begin{array}{ll} 2\cos(\pi x) \text{ for } x \leq -1 \\ \\ \displaystyle \frac{2}{\cos(\pi x)}\text{ for } x > -1 \end{array} \right.$

And we want to find:

$\displaystyle \lim_{x\to -1}f(x)$

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

Left-Hand Limit:

$\displaystyle \lim_{x\to-1^-}f(x)$

Since we are approaching from the left, we will use the first equation:

$\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)$

By direct substitution:

$=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2$

Right-Hand Limit:

$\displaystyle \lim_{x\to -1^+}f(x)$

Since we are approaching from the right, we will use the second equation:

$=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}$

Direct substitution:

$\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2$

So, we can see that:

$\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2$

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

$\displaystyle \lim_{x \to -1}f(x)=-2$

Our answer is A.

8 0

3 years ago

Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?

Delicious77 [7]

Answer:

–4(x + 3) ≤ –2 – 2x

>>.....-4x -12 ≤ -2 -2x

>> -12 +2 ≤ +2x

>> - 10 ≤ 2x

>> -5 ≤ x............>> x >= -5

Step-by-step explanation:

you didn't post any number lines...

3 0

3 years ago