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marishachu [46]
2 years ago
6

What is the value of x?

Mathematics
1 answer:
Svetllana [295]2 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

ΔTRQ is an isosceles right triangle, so if we find the value of RT then the value of 'x' will be the same

We can find RT by creating a proportion based on the ratio of sides in a 30-60-90° triangle which, respectively, is 1 : \sqrt{3} : 2

2\sqrt{3}/RT = \sqrt{3}/2

cross-multiply:

\sqrt{3}· RT = 4\sqrt{3}

RT = 4

Therefore, x = 4

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Matt cut a circle into 8 equal sections. He drew an angle that measures the same as the total measure of 4 of the sections in th
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Answer:

The angle Matt drew = 180°

Step-by-step explanation:

The total angle formed by the 8 angles Matt drew in the circle equals 360° because one revolution of a circle is the same as the angle about a point which equals 360°.

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Solve for x: x^2 + 14x + 49
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Answer: -7twice

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49ײ

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

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Now to find this value of x,

x + 7 = 0

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The root of the equation = -7twice.

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