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3 years ago

Help please i added a photo it's simple i'm just slow thank you :/

Mathematics

1 answer:

Savatey [412]3 years ago

3 0

We know that Alternate Interior Angles of Two Parallel Lines cut by a Transversal are Equal.

We Can notice from the Diagram that x and y are Alternate Interior Angles.

So, x = y is the Best relationship between x and y Angles.

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How do you do this. Please give a full answer and explain why.

OverLord2011 [107]

Law of Exponent

$\displaystyle \large{ {a}^{ - n} = \frac{1}{ {a}^{n} } }$

Compare the terms.

$\displaystyle \large{ {a}^{ - n} = {( - 2)}^{ - 3} }$

Therefore, a = -2 and n = 3. From the law of exponent above, we receive:

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ {( - 2)}^{ 3} } }$

Exponent Def. (For cubic)

$\displaystyle \large{ {a}^{3} = a \times a \times a }$

Factor (-2)^3 out.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}$

(-2) • (-2) = 4 | Negative × Negative = Positive.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{4 \times ( - 2)}}$

4 • (-2) = -8 | Negative Multiply Positive = Negative.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ - 8}}$

If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.

Hence,

$\displaystyle \large \boxed{ {( - 2)}^{ - 3} = - \frac{1}{ 8}}$

The answer is - 1 / 8

3 0

3 years ago

Solving Exponential Equations (lacking a common base) 31^d=38

Bond [772]

Answer:

d = log 38/log31

d = 1.06

Step-by-step explanation:

31 ^ d = 38

Take log of both sides since the exponential equation have different base (always)

d log 31 = log 38

d = log 38 / log 31

d = 1.58 / 1.491

d = 1.06.

We can actually check to see if this is correct.

Substituting d = 1.06

31^ 1.06 = 38.092

(You see, that's approximately correct)

Keep learning, maths is fun!

8 0

3 years ago

Sarah bought 3 1/2 pints of blueberries to make jelly. She ate 3/4 of a pint of berries on her way home. How many pints of berri

AnnyKZ [126]

Answer:

11/4 or 2.75 pints

Step-by-step explanation:

We want to find the difference between the original amount of blueberries and the amount she ate

original amount-amount ate

3 1/2 -3/4

To subtract, we need common denominators

The common denominator of 2 and 4 is 4

3 1/2=7/2

Multiply by 2/2 to get a common denominator of 4

7/2*2/2=14/4

Now, we have common denominators and can subtract

14/4-3/4

Subtract the numerators, and leave the denominators as 4

11/4 =2.75

She has 11/4 or 2.75 pints left

8 0

3 years ago

What 3 ratios that are equivalent

steposvetlana [31]

Answer:

1:2, 2:4, 3:6

Step-by-step explanation:

If you times 1:2 by 2, you get 2:4. If you times 1:2 by 3, you get 3:6.

You have to multiply each individual number in the ratio.

4 0

3 years ago

Read 2 more answers

Plsss answerrrr I give brainliest thank uuu

arsen [322]

Answer:

The answer is 48m, I hope this answer is correct!

Step-by-step explanation:

For each cube there are 6 sides so, 1 cube has the value of 6m so, since there are 8 cubes, the volume is 48m.

Please give me Brainliest!

Have a good day,

-johannelbekian (You can call me "Despacito Spider" Btw)

6 0

3 years ago