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4 years ago

11

True or false: Vertical angles are the top and bottom angles of the four angles formed by two intersecting lines.

1 answer:

kupik [55]4 years ago

4 0

Answer:

The statement is false. Vertical angles are the left and right angles of the four angles formed by two intersecting lines.

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Steak Dinner: $10.59

gregori [183]

Answer: $11.41

Step-by-step explanation:

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3 years ago

17. If x is a real number such that x3 = 729,

Nat2105 [25]

Answer:

C. 90

Step-by-step explanation:

If x^3 = 729, x = 9.

Then, plug that into x^2 + x

9 ^ 2 + 9 = 81 + 9 = 90

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3 years ago

0=4X-7Y what is the value of x and y but not 0

Irina18 [472]

Solving for X we get:
$X=\frac{7Y}{4}$
Solving for Y, we get:
$Y=-\frac{4X}{7}$

8 0

4 years ago

the point (3,-6) lies on the terminal side of angle 0. Find the exact value of the six trigonometric functions of 0. Sin cos tan

Shkiper50 [21]

ANSWER

See explanation

EXPLANATION

The point (3,-6) is the fourth quadrant.

In this quadrant only the cosine ratio and the secant ratio are positive.

The remaining four trigonometric ratios are negative.

The diagram is shown in the attachment.

We use the Pythagoras Theorem to find the hypotenuse, h.

${h}^{2} = {6}^{2} + {3}^{2}$

${h}^{2} = 36 + 9$

${h}^{2} = 45$

$h = \sqrt{45}$

$h = 3 \sqrt{5}$

$\sin( \theta) = - \frac{opp}{hyp}$

$\sin( \theta) = - \frac{6}{3 \sqrt{5} }$

$\sin( \theta) = - \frac{2 \sqrt{5} }{ 5 }$

$\sin( \theta) = - \frac{2}{ \sqrt{5} }$

$\ cos(\theta) = \frac{adj}{hyp}$

$\ cos(\theta) = \frac{3}{3 \sqrt{5} }$

$\ cos(\theta) = \frac{1}{ \sqrt{5} }$

$\ cos(\theta) = \frac{ \sqrt{5} }{5}$

$\tan(\theta)= - \frac{opp}{hyp}$

$\tan(\theta)= - \frac{6}{3} = - 2$

$\csc(\theta)= - \frac{hyp}{opp}$

$\csc(\theta)= - \frac{3 \sqrt{5} }{6} = - \frac{\sqrt{5} }{2}$

$\sec( \theta) = \frac{hyp}{adj}$

$\sec( \theta) = \frac{3 \sqrt{5} }{3} = \sqrt{5}$

$\cot( \theta) = - \frac{adj}{opp}$

$\cot( \theta) = - \frac{3}{6} = - \frac{1}{2}$

6 0

3 years ago

Which ordered pair describes a translation of 6 units up up and 4 units left

Aleksandr-060686 [28]

Answer:

The correct answer for this is $(-4,6)$ .

Step-by-step explanation:

As it can be seen from the attached graph image:

The <em>y-axis </em><em>increases in positive</em> values when we move in up direction i.e. we have +<em>y-axis </em>in upward direction.
The <em>y-axis </em><em>decreases and keeps on becoming more and more negative</em> values when we move in down direction i.e. we have -<em>y-axis </em>in downward direction.
The <em>x-axis </em><em>increases in positive</em> values when we move in right direction i.e. we have <em>+x-axis </em>in right direction.
The x<em>-axis </em><em>decreases and keeps on becoming more and more negative</em> values when we move in left direction i.e. we have <em>-x-axis </em>in left direction.

Now, according to question, the translation is performed 6 points up i.e. towards positive y-axis and 4 points towards left i.e. towards negative x-axis.

And, as per rule, the co-ordinates are represented as $(x,y)$ where $x$ is the x-co-ordinate and $y$ is y-co-ordinate.

So, the answer here is $(-4,6)$ .

4 0

3 years ago