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4 years ago

Please help! Geometry tangents

Mathematics

1 answer:

Ymorist [56]4 years ago

7 0

Since ∠ABC is a right angle, we shall use Pythagoras Theorem to solve for x.

$\boxed {\boxed{a^2 + b^2 = c^2}}$

$x^2 + 7^2 = ( x + 5)^2$

$x^2 + 49 = x^2 + 10x + 25$

$10x = 49 - 25$

$10x = 24$

$x = 2.4$

Answer: x = 2.4

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15. Interpret

I'll try to explain this quick so you can sleep. Sleep is very important for brain activity and is very important to help us learn more efficiently and to help us feel more energized and healthy (and sleep is just amazing in general) :)

All of the numbers below 1000 are going to give us negative number answers. For all of them, we just subtract 1000 from it to see how much over or below we are.

February: 10

March: -5

April: 50

May: -25

June: -20

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16. Analyze

An integer is just a number with no fraction or semi-value that is part of it. So 7 and -10 are integers while -1.5 and 2/3 are not.

A negative integer is one below zero, and a positive is one above zero.

PART A: Letters a and c represent the negative integers because they are to the left of zero on the number line.

PART B: letters b and d represent the positive integers because they are above zero on the number line.

PART C: They can be described as additive inverses, which have a different sign but the same absolute value (distance from zero). They are called this because when you combine them you get zero.

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