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3 years ago

Which pair of angles are alternate exterior angles?

Mathematics

2 answers:

Neko [114]3 years ago

4 0

Answer:

<2 and <7

Step-by-step explanation:

Because <2 and <6 are equal and <3 and <7 are equal as well means that angles <2 and <7 are alternate exterior angles as well as angles <3 and <6.

Luba_88 [7]3 years ago

4 0

Answer:

<2 and <7

Step-by-step explanation:

The alternate exterior angles are those angles that are found by the symmetry that is created between parallel lines.

In the image the angles <2 and <3 are equal because they are opposed by the vertex.

and due to the symmetry of the parallel lines the angle 3 <3 is corresponding to the angle 7 <7 (they measure the same for being on the same side in the lines that are parallel)

This means that consequently, angles <2 and <7 are equal and are alternate exterior angles.

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50 Points!!

____ [38]

Answer:

a) g(x) = f(x) + 3

So g(x) is a vertical translation of f(x), 3 units upwards

b) g(x) = 3x² - 1 + 3

g(x) = 3x² + 2

The graph has shifted 3 units upwards, so has the vertex.

The vertex of f is (0,-1)

Whereas the vertex of g is (0,2)

-1 + 3 = 2

8 0

3 years ago

Joel wants to buy a new tablet computer from a store having a 20% off sale on all tablets. The tablet he wants has an original c

earnstyle [38]

Answer:

Joel will have to pay $ 159.60 for the tablet.

Step-by-step explanation:

1. Information given to us to answer the question correctly:

Discount percentage of the tablets = 20%

Original cost of the tablet = $ 190

Sales tax = 5%

2. How much will Joel pay for the tablet? Show your work in your notebook. Remember to use $.

Let's find the discounted price and the sales tax for that price, this way:

Discounted price = Original price - Discount

Discounted price = 190 - (190 * 0.2)

Discounted price = 190 - 38 = 152

Sales tax of the discounted price = 152 * 0.05

Sales tax = 7.60

Joel will have to pay = Discounted price + Sales tax

Joel will have to pay = 152 + 7.60

Joel will have to pay = $ 159.60

5 0

3 years ago

Sole the question l2l

Feliz [49]

what question theres none

4 0

2 years ago

HELP PLEASE!! I DONT UNDERSTAND!!!!!!!!!! THANKS SO MUCH

8090 [49]

Hello, please consider the following.

We will multiply the numerator and denominator by

$4+\sqrt{6x}$

to get rid of the root in the denominator.

First of all, we cannot divide by 0, right? So, we need to make sure that the denominator is different from 0.

$4-\sqrt{6x} =0\sqrt{6x}=4\\\\\text{Take the square}\\\\6x=4^2=16\\\\x=\dfrac{16}{6}=\dfrac{8}{3}$

We need to take any x real number different from 8/3 then and simplify the expression.

Let's do it!

$\begin{aligned}\dfrac{4}{4-\sqrt{6x}}&=\dfrac{4(4+\sqrt{6x})}{(4+\sqrt{6x})(4-\sqrt{6x})}\\\\&=\dfrac{4(4+\sqrt{6x})}{(4^2-\sqrt{6x}^2)}\\\\&=\dfrac{4(4+\sqrt{6x})}{(16-6x)}\\\\&=\dfrac{2(4+\sqrt{6x})}{(8-3x)}\\\\&\large \boxed{=\dfrac{8+2\sqrt{6x}}{8-3x}}\end{aligned}$