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CaHeK987 [17]
3 years ago
5

Give an example for a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles

.

Mathematics
1 answer:
erastovalidia [21]3 years ago
6 0

Step-by-step explanation:

Consider the provided information.

Consider the figure 1:

We need to give an example of a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles.

Alternate interior angles: If a transversal cuts two parallel line then pair of angles on the inner side of lines but on opposite sides of the transversal are know as the alternate interior angle:

For example: ∠3 and ∠6 are alternate interior angle another pair are ∠4 and ∠5.

Corresponding angles:  If a transversal cuts two parallel line then the angles in same corner are called corresponding angles.

For example: ∠1 and ∠5 are corresponding angle another pair are ∠4 and ∠8.

Alternate exterior angles: If a transversal cuts two parallel line then the pair of angles on the outer side of lines but on opposite sides of the transversal are known as the alternate exterior angles.

For example: ∠1 and ∠8 are alternate exterior angle another pair are ∠2 and ∠7.

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Please answer & explain this
sdas [7]
Parallel lines have the same slope.

To compare the slopes of two different lines, you have to get
both equations into the form of    
                                                        y = 'm' x  +  (a number) .

In that form, the 'm' is the slope of the line.
Notice that it's the number next to the 'x' .

The equation given in the question is    y = 3 - 2 x .
Right away, they've done something to confuse you.
You always expect the 'x' term to be right after the 'equals' sign,
but here, they put it at the end.  The slope of this line is the  -2 .

Go through the choices, one at a time.
Look for another one with a slope of  -2 .
Remember, rearrange the equation to read ' y = everything else ',
and then the slope is the number next to the 'x'.

Choice #4:  y = 4x - 2 .  The slope is  4 .  That's not it.

Choice #3:  y = 3 - 4x .  The slope is  -4 .  That's not it.

Choice #2).                       2x + 4y = 1

Subtract 2x from each side:    4y = 1 - 2x

Divide each side by  4 :             y = 1/4  -  1/2 x .

                                                     The slope is  -1/2.  That's not it.

Choice #1).                                 4x + 2y = 5

Subtract 4x from each side:              2y = 5 - 4x

Divide each side by 2 :                        y = 5/2  - 2 x .

                                                       The slope is -2 .
                                                       This one is it.  
                This one is parallel to  y = 3 - 2x ,
                 because they have the same slope.
4 0
3 years ago
Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
maw [93]
If you put in the substitutions it would be 2*2-(2*2*4)+(3*2)-(-4*2)+(2*4).
Simplified further by multiplying it would be 2*2-8+6--8+8
the negative 8 could be simplified further since the negatives cancel out so you'll have 2*2-8+6+8+8.
Then using the order of operations you would multiply the 2's together first to get 4 so you have 4-8+6+8+8. 
After that it's simple addition giving you an answer of -26.
I'm not sure if you're looking for the final answer or just the equation with substitutions but there's both.

3 0
3 years ago
Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, w
Orlov [11]
P - 0.30= $18.75


18.75 + 0.30 = p


$19.05 = p


6 0
3 years ago
Hello, this is urgent. Could you guys please help me with questions 1-5?
Rzqust [24]

Answer:

Undefined

Step-by-step explanation:

Its parallel to y-axis so the slope is undefined

8 0
3 years ago
Read 2 more answers
A home improvement store normally sells 20-foot extension ladders for $225. This week the ladders are discounted by 20%. What is
Fantom [35]

Answer:

The answer is 180

Step-by-step explanation:

So to start off you have to turn 20% into a decimal and that is .20.

Next  you need to mutiply 225 and .20 and you will get 45 (that means it is $45 off)

Subtract 45 fro 225 and that is your answer.

You now pay $180 for the 20 foot extension ladder.

5 0
3 years ago
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