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2 years ago

Han followed these instructions to make the image.

Mathematics

1 answer:

Reika [66]2 years ago

4 0

Answer:

1. It is a straight line drawn with a straightedge and cuts across the lines.

2. Both drawn with the same compass width.

3. Corresponding parts of congruent triangles are congruent.

Step-by-step explanation:

This construction works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.

This is how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler. It is called the 'angle copy method' because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.

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Molly had a $12 gift card to download music. She bought 8 songs that each cost the same amount. Write a variable equation, then

Ghella [55]

Answer:

Molly paid for each song $1.5

Step-by-step explanation:

Let

x ------> amount that Molly paid for each song

we know that

The amount that Molly paid for each song multiplied by 8 is equal to the gift card value

The linear equation that represent this problem is

$8x=12$

Solve for x

Divide by 8 both sides

$x=12/8$

$x=\$1.5$

Molly paid for each song $1.5

4 0

3 years ago

(x³)² × x⁴ = ? (it won't lemme type short)

Alex73 [517]

Answer:

We have x^3^2 which is x^3*2 = x*6 times x*4 which is x*10

Hope this helped and brainliest please

4 0

2 years ago

Plz help brainiest to whoever right

iren [92.7K]

Answer:

I’m sorry I can’t really see it but I think it’s 7 20

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

This is a polygon and I need help finding the missing angle ?

allsm [11]

First, you need to know that the total (degrees) of the interior angles is 360 because this is a quadrilateral.

The unnumbered angle is 109 degrees. We know this because the angle labeled 71 degrees and the unnumbered angle are supplementary. So you subtract 180 from 71 to get 109.
$180-71=109$

To solve for x, we need to realize the other numbers playing into the angles' values. To make solving this easier, I'm gonna assign letters to the angles.

(10x+6) is angle A.

(13x-2) is angle B.

(8x-1) is angle C.

and 109 (the one we solved) is angle D.

We know that the total of the interior angles is 360, so we can add the 2 from angle B and the 1 from angle C to 360. This is because these numbers are subtracted from the other values.
$360+2+1=363$

Now, we have to subtract the 6 from angle A from 363, because the 6 is added to the other values.
$363-6=357$

Now we have to subtract 109 from 357 because you want to get the x's by themselves. Since you're solving for x.
$357-109=248$

That leaves you with 248. Now you add all the x's up to get the total number of x's. You have 10x from angle A, 13x from angle B, and 8x from angle C.
$10x+13x+8x=31x$

You get 31x. To get what x is, you divide 248 by 31.
$\frac{248}{31} =8$

That equals 8. So now that you know that x equals 8, if you need to find the values of the angles, you just plug in the numbers into the formulas.

$(10(8))+6= 86$
$(13(8))-2=102$
$(8(8))-1=63$
$109$

Check your work by plugging your answers in and seeing if they add up to 360.
$86+102+63+109=360$

Which they should:)

So...
angle A= 86
angle B=102
angle C=63
angle D=109

and x=8

Hope this helped!!!

4 0

3 years ago

1) Madison went shopping and spent $125 she paid $45 in Texas what was the sale tax rate (percent)

Gnesinka [82]

Answer:

170

Step-by-step explanation:

How the sales tax de-calculator works

Step 1: take the total price and divide it by one plus the tax rate.

Step 2: multiply the result from step one by the tax rate to get the dollars of tax.

Step 3: subtract the dollars of tax from step 2 from the total price.

Pre-Tax Price = TP – [(TP / (1 + r) x r]

TP = Total Price.

3 0

3 years ago