All categories

3 years ago

I REALLY NEED HELP PLEASE!!!!!!

Mathematics

1 answer:

Yuliya22 [10]3 years ago

6 0

Step-by-step explanation:

A triangle has three angles that add up to 180°.

If we know two opposite angles are equal, like the triangle above, then we know that the third angle is equal as well.

Also, if opposite angles are equal, then we can assume that opposite sides are equal too.

1. So, since line RS is an angle bisector of triangle PRQ, angle P = angle Q by the reflexive property.

2. Since angle P = angle Q, triangle PRS and triangle QRS are congruent.

3. Because those two triangles are congruent, their hypotenuse, or longest sides, are congruent as well.

Hope this helps!

You might be interested in

How many pints in 2 gallon

nadezda [96]

That would be 16 pints.

8 0

3 years ago

Read 2 more answers

Please prove the following identity

Sedaia [141]

Let's remember the factorizations

$a^3 + b^3 = (a+b)(a^2-ab+b^2)$

$a^3- b^3=(a-b)(a^2+ab+b^2)$

Now

$\dfrac{\sin ^3 \theta + \cos^3 \theta}{\sin \theta + \cos \theta} + \dfrac{\sin^3 \theta - \cos^3 \theta}{\sin \theta - \cos \theta}$

$=\dfrac{(\sin \theta + \cos \theta)(\sin ^2 \theta - \sin \theta\cos \theta + \cos^2 \theta)}{\sin \theta + \cos \theta} + \dfrac{(\sin \theta - \cos \theta)(\sin^2 \theta + \sin \theta \cos \theta + \cos^2 \theta)}{\sin \theta - \cos \theta}$

$=\sin ^2 \theta - \sin \theta\cos \theta + \cos^2 \theta + \sin^2 \theta + \sin \theta \cos \theta + \cos^2 \theta$

$=\sin ^2 \theta + \cos^2 \theta + \sin^2 \theta+ \cos^2 \theta$

$=2 \quad\checkmark$

4 0

3 years ago

Rachel bought a sweater at the sale price of $38. The original cost of the

Rzqust [24]

Answer. C: 26.9% dicount

4 0

3 years ago

Everbank Field, home of the Jacksonville Jaguars, is capable of seating 76,867 fans. The revenue for a particular game can be mo

DerKrebs [107]

The domain will be every integer from 0 to 76867 (it will look like this [0, 76867].
The range will be <span>{0, 161, 322, 3(161), 4(161), ... 76867(161)}.</span>

With the information given, the equation will look like this:

f(x) = 161x

The domain is a set of all possible values that, when plugged into x, will give us a real number. So, if we were to plug in 2 for x, the equation would look like this:

f(2) = 161(2) = 322

Since 322 is a real number, 2 is part of the domain.

While the domain is the set of numbers that substitute x, the range is the product. So in the above example, the range would be 322. Since the domain is [0, 76867], the range would be the set of products that come from plugging in each of these numbers:

{0, 161, 322, 3(161), 4(161), ... 76867(161)}

6 0

3 years ago

Find all solutions in the interval [0, 2π).<br><br> 4 sin2 x - 4 sin x + 1 = 0

eimsori [14]

ANSWER

$x = \frac{\pi}{6} \: or \: x = \frac{5\pi}{6}$