What is the measure of ZB of the pentagon?

Mathematics

1 answer:

Anastaziya [24]2 years ago

8 0

Answer:

111°

Step-by-step explanation:

The sun of interior angles in a pentagon is 540° so to find the measure of B we gotta add all given measure up then subtract it from 540

150° + 98° + 89° + 92° + B = 540° ➡ B = 111°

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Which equation has the solution x = 3?

arsen [322]

Well, let's first solve each equation:

1.) -4x + 6 - 3x = 12 - 2x - 3x

To start, combine each like-term on each side of the equal sign (The numbers with variables in-common // the numbers alike on the same side of the equal sign):

-7x + 6 = 12 - 5x

Now, we get the two terms with variables attached to them, on the same side, so, we do the opposite of subtraction, which is, addition:

-7x + 6 = 12 - 5x
+5x +5x
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-2x + 6 = 12

Next, you do the opposite of addition, which is, subtraction, and, subtract 6 from both sides:

-2x + 6 = 12
-6 -6
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-2x = 6

Finally, divide by -2 on each side, to find out what the value of 'x' is:

-2x = 6
÷-2 ÷-2
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x = -3

So, the answer is not 'A.'
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Now, we test out the rest of the equations, the exact same way:

2.) 4x + 6 + 3x = 12 + 2x + 3x

Combine your like-terms, on each side of the equal sign:

7x + 6 = 12 + 5x

Now, get both terms, with the variable, 'x,' to the same side, and, to do that, do the opposite of addition, which is, subtraction:

7x + 6 = 12 + 5x
-5x -5x
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2x + 6 = 12

Next, subtract 6 from both sides:

2x + 6 = 12
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2x = 6

Finally, divide by 2, on both sides:

2x = 6
÷2 ÷2
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x = 3

So, the answer is 'B.'
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3.) 4x + 6 - 3x = 12 - 2x - 3x

Again, we combine the like-terms, on both sides of the equal sign:

x + 6 = 12 - 5x

Now, we get both terms with the variable 'x,' to the same side, and, the opposite of subtraction, is addition, so, we're going to add 5x to both sides:

x + 6 = 12 - 5x
+ 5x + 5x
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6x + 6 = 12

Now, we subtract 6 from each side, because, the opposite of addition, is subtraction:

6x + 6 = 12
- 6 - 6
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6x = 6

Now, divide by 6, on both sides:

6x = 6
÷ 6 ÷ 6
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x = 1

So, the answer is not 'C.'
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4.) 4x + 6 - 3x = 12x + 2x + 3x

First, we combine the like-terms:

x + 6 = 17x

Next, we get both terms, with the variable, 'x,' to the same side:

x + 6 = 17x
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Now, divide by 16, on both sides:

X = 3/8

So, 'D,' is not the answer.
_______________________

The answer is, 'B.'

I hope this helps!

8 0

2 years ago

Si f(x) es igual a raiz de x al cuadrado menos 16 determinar f(5),f(4),f(6),f(3)

Nadusha1986 [10]

Aplicando la función, los valores numéricos son :

$f(5) = -11$