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2 years ago

Select all the pairs that represent alternate exterior angles.

Mathematics

1 answer:

Leno4ka [110]2 years ago

8 0

Answer: 3rd option : Angle 2 and 7

Step-by-step explanation:

Alternate exterior angles are located on the outside of the parallel line on opposite sides.

Therefore, the alternate exetrior angles are 1 and 8 and 2 and 7.

Since there is no option for angle 1 and 8, the correct answer is the 3rd option --> Angle 2 and 7.

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If a block of wood measuring 5 cm x 10 cm x 3 cm has a mass of 100 g, could it be birch wood?

Inga [223]

Answer:

It very well could be

Step-by-step explanation:

It could be any type of wood, it doesn't matter weight, volume, or size

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3 years ago

X^2-5x+2 x 3x^2 +2x +3

Katen [24]

Answer:

3x^4 - 13x^3 - x^2 - 11x + 6.

Step-by-step explanation:

x^2-5x+2 x 3x^2 +2x +3

= x^2(3x^2 +2x +3) - 5x(3x^2 +2x +3) + 2(3x^2 +2x +3)

= 3x^4 + 2x^3 + 3x^2 - 15x^3 - 10x^2 - 15x + 6x^2 + 4x + 6

Adding like terms:

= 3x^4 - 13x^3 - x^2 - 11x + 6.

5 0

3 years ago

Jeanne needed to buy 258 yards of fabric, if the ribbon costs 10¢ per foot, what is the total cost of the ribbon in dollars?

ss7ja [257]

Answer:

Step-by-step explanation:

1 yard is equal to 3 foot

10¢= 1 foot

30¢= 1 yard

30¢ x 258 yards= $77.40

7 0

3 years ago

A plane flew 525 miles in 1.75 hours. Find the average speed of the plane.

ale4655 [162]

We are trying to find the average speed of the plane, which is mph, or $\dfrac{\textrm{miles}}{\textrm{hour}}$ . Using proportions, we can find the average speed of the plane in mph:

$\dfrac{525 \,\, \textrm{miles}}{1.75 \,\,\textrm{hours}} = \dfrac{x \,\, \textrm{miles}}{1 \,\,\textrm{hour}}$

Use the information from the problem to create a proportion. Remember that we are looking for mph, so we will call that $x$ .

$\dfrac{525}{1.75} \,\textrm{miles} = x \,\textrm{miles}$

Multiply the entire equation by $1 \,\textrm{hour}$

$\dfrac{525}{1.75} = 300 = x$

Divide both sides of the equation by $1 \,\textrm{mile}$ to clear both sides of the mile unit

The average speed of the plane is 300 mph.

6 0

4 years ago

Ella grew 3 over 4 of an inch last year. Ben grew 2 over 3 of an inch last year. How much more did Ella grow than Ben last year?

IrinaK [193]

Answer:

Ella grew $\frac{1}{12}$ of an inch more

Step-by-step explanation:

For this problem, you want to subtract Ben's growth from Ella's.

This expression would be $\frac{3}{4}$ - $\frac{2}{3}$ .

To work these out, they must have the same denominator (which should be the lowest common multiple or LCM).

In this case, the LCM is 12, so you want to multiply each side so the denominator is 12. This means the first fraction should be multiplied by $\frac{3}{3}$ and the second by $\frac{4}{4}$ .

This makes the expression $\frac{9}{12}$ - $\frac{8}{12}$ , which equals $\frac{1}{12}$ .

**This content involves adding and subtracting fractions, which you may want to revise. I'm always happy to help!

7 0

3 years ago