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3 years ago

Which postulate explains why angle PQR would be 140 degrees in the picture below ?

Mathematics

1 answer:

Zepler [3.9K]3 years ago

3 0

I think the answer is C

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Sec squared 55 - tan squared 55

sergejj [24]

Answer:

sec squared 55 – tan squared 55 = 1

Explanation:

Given, sec square 55 – tan squared 55

We know that,

$\sec \Theta=\frac{\text {hypotenuse}}{\text {base}}$

And,

$\tan \theta=\frac{\text { perpendicular }}{\text { base }}$

where Ө is the angle

Substituting the values

$\left(\frac{\text {hypotenuse}}{\text {base}}\right)^{2}-\left(\frac{\text { perpendicular }}{\text {base}}\right)^{2}$

Solving,

$\frac{(\text {hypotenuse})^{2}-(\text {perpendicular})^{2}}{(\text {base}) *(\text {base})}$

According to Pythagoras theorem,

$\text { (hypotenuse) }^{2}-\text { (perpendicular) }^{2}=(\text { base })^{2}$

Putting this in the equation;

squared 55 - tan squared 55 =

$\frac{(\text {hypotenuse})^{2}-(\text {perpendicular})^{2}}{(\text {base}) *(\text {base})}=\frac{(\text {base})^{2}}{(\text {base}) *(\text {base})}=1$

Therefore, sec squared 55 – tan squared 55 = 1

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2 years ago

The coordinates of point R are (-6,4) The coordinates of point S are (3,4) Witch expression represents the distance, in units, b

trapecia [35]

Answer:

A) |-6| + |3|

Step-by-step explanation:

Since the y-coordinates are the same, we need to find the distance between -6 and 3. This would thus be equal to |-6|+|3| making A the correct answer.

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