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3 years ago

Which relationship describes angles 1 and 2?

Mathematics

1 answer:

Aloiza [94]3 years ago

8 0

Vertical angles

They are vertical angles because they are directly opposite each other and have equal measures.

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In the above triangle, if x = , y = 1, and z = 2, then which of the following is equal to tan(60°)?

vesna_86 [32]

Answer: Option A

$tan(60\°) = \sqrt{3}$

Step-by-step explanation:

We know the sides and z. So since it is a straight triangle we use the Pythagorean theorem to pull the length of the x side.

$z ^ 2 = x ^ 2 + y ^ 2\\\\x^2 = z^2 - y^2\\\\x=\sqrt{z^2 - y^2}\\\\x=\sqrt{2^2 - 1^2}\\\\x=\sqrt{4 - 1}\\\\x=\sqrt{3}$

By definition, the tangent of an angle is:

$tan(\theta) = \frac{opposite}{adjacent}$

In this case:

$adjacent = y=1\\\\opposite=x =\sqrt{3}\\\\\theta=60\°$

Then:

$tan(60\°) = \frac{\sqrt{3}}{1}$

$tan(60\°) = \sqrt{3}$

8 0

4 years ago

Read 2 more answers

How to find the Smallest value? 3/8 3/4 1/2 7/8 5/6

aniked [119]

Answer:

Make all fractions have the same common denominator, and you will find that 3/8 is the smallest value.

Step-by-step explanation:

4 0

3 years ago

How do I simplify −9(3−4w)−8w

laiz [17]

Multiply out the bracket so
-27 + 36w - 8w
Then collect the terms so
-27 + 28w

Answer = - 27 + 28w

3 0

3 years ago

Read 2 more answers

Solve and factorise x^2-8x+16=0

goblinko [34]

Answer:

x=4x therefore the answer is 4x

Step-by-step explanation:

x^2-8x+16=0

7 0

3 years ago

Question 4(Multiple Choice Worth 1 points) (07.04 LC) Factor completely 49x2 − 9. (7x + 3)(7x − 3) (7x + 3)(x − 3) (7x − 3)(7x −

scoundrel [369]

Answer:

Step-by-step explanation:

We take a look at this expression: $49x^2-9$ and notice that both terms are square numbers. $49x^2=(7x)^2$ and $9=3^2$ .

There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares $a^2-b^2$ , it can always be factored into $(a+b)(a-b)$ .

Here, we can apply that. In this case, a = 7x and b = 3. So:

$49x^2-9=(7x)^2-3^2=(7x+3)(7x-3)$

Thus, the answer is A.

Hope this helps!

6 0

4 years ago

Read 2 more answers