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2 years ago

a side of the triangle below has been a extended to form an exterior angle of 159°. find the value of x

Mathematics

1 answer:

Mashcka [7]2 years ago

6 0

Answer:

Step-by-step explanation:

Find the the angle by subtracting 159 from 180 that’s your answer= 21 degrees

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Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using

IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The product:

$A * B = \frac{1}{2} * \frac{2}{3}$

$A * B = \frac{1}{1} * \frac{1}{3}$

$A * B = 1 * \frac{1}{3}$

$A * B = \frac{1}{3}$

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The quotient:

$A / B = \frac{1}{2} / \frac{2}{3}$

Express as product

$A / B = \frac{1}{2} / \frac{3}{2}$

$A / B = \frac{1*3}{2*2}$

$A / B = \frac{3}{4}$

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

$x = \frac{1}{2}$

$y = \frac{2}{3}$

The sum:

$x + y = \frac{1}{2} + \frac{2}{3}$

Take LCM

$x + y = \frac{3+4}{6}$

$x + y = \frac{7}{6}$

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

8 0

3 years ago

X=-3y-5 3x+9y=7 how can u solve this?

pentagon [3]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which of the following rational functions is graphed below?

Dvinal [7]

Answer:

Step-by-step explanation:

7 0

2 years ago

Please help!! <br><br> What is the value of Avogado's number?

vesna_86 [32]

Answer:

It will be C because I have it in my notes lol

Step-by-step explanation:

Hope this Helped

8 0

2 years ago

Please help with this question

ELEN [110]

Answer:

r^2 * 1/s^4 * t^5

Step-by-step explanation:

r^2 * 1/s^4 * t^5

s^-4 = 1/s^4

7 0

2 years ago