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3 years ago

What is the value of x? And what is the missing angle value?

Mathematics

2 answers:

DanielleElmas [232]3 years ago

8 0

These angles, 110º and 7xº, are examples of supplementary angles.
Supplementary angles are angles that, when added together, produce a sum of 180º.
This means 110º + 7xº = 180º.

With this equation, 110º + 7xº = 180º, we can isolate the variable and solve for x to answer this question.

110º + 7xº = 180º
The first step to solve for x is to subtract 110º from both sides of the equation.
110º + 7xº - 110º = 7xº
180º - 110º = 70º

7xº = 70º
Since we want 1xº instead of 7xº, we need to divide both sides by 7.
7xº / 7 = xº
70º / 7 = 10º

xº = 10º
Now we have our solution!
The value of x is 10º.

Let's check this to be sure.
7xº, when added to 110º, must equal 180º since 7xº and 110º are supplementary angles.
7xº + 110º = 180º
We found that x is 10º.
7(10)º + 110º = 180º
7 • 10 = 70
70º + 110º = 180º
180º = 180º
This works! That means that x = 10º is in fact the correct answer.

Answer:
x = 10º

Hope this helps!

zaharov [31]3 years ago

6 0

Work shown above! x = 10 and the missing angle is 70°! Hope this helped c:

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3 years ago

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tekilochka [14]

For this case we have:

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That is to say:

Given an expression of the form $x ^ 2 + (a + b) x + ab$

We can factor in the following way:

$(x + a) (x + b)$

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checking the given definition.

If we have:

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3 years ago

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marshall27 [118]

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3 years ago

What is the area of the white border?

Lina20 [59]

Answer:

$A_{white} = 119\ cm^2$

Step-by-step explanation:

Step 1: Determine the area of the black area

$A = l * w$

$A = 8\ cm * 2\ cm$

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Step 3: Determine the difference to just get the white area

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Mariulka [41]

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