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2 years ago

Can someone explain to me how to do this and the answer for them too because I do not understand these geometry proofs!!

Mathematics

1 answer:

Neko [114]2 years ago

6 0

Answer:

Statement Reasoning

LM=NO Given

∠LMO≅∠NOM. Given

OM=OM Reflexive Property of Equality

ΔLMO=ΔNOM SAS Congruence Postulate

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How can you rewrite simple rational expressions in different forms using long division?

zalisa [80]

Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator. Step 1: Factor both the numerator and denominator of the fraction.

3 0

3 years ago

The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?

chubhunter [2.5K]

Answer:

B.)The new pyramid has a volume that is One-half the volume of the original pyramid.

Step-by-step explanation:

got it right on test.

6 0

3 years ago

Read 2 more answers

Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work together, it takes them 2 hours. How

aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood = K hrs

So, the per hour rate of Dwight = $(\frac{1}{K})$

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood = (K- 3) hrs

So, the per hour rate of Joe = $(\frac{1}{K-3})$

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them = $(\frac{1}{2})$

⇒ Per hour rate of ( Dwight + Joe) = $(\frac{1}{2} )$

$\implies (\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})$

Now, solving for the value of K , we get:

$(\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})\\\implies \frac{(K-3) + K}{K (K-3)} = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K + 6= 0\\\implies K^2 - 6K - K + 6= 0\\\implies K(K-6) -1(K - 6)= 0\\\implies (K-6)(K-1) = 0$

Implies either K = 6 Or K = 1

But if K = 1, (K-3) = 1- 3 = -2 hours would be A CONTRADICTION.

⇒ K = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0

3 years ago

A state is considering license plates that have two digits followed by four letters. Assuming no combinations are excluded, how

love history [14]

Answer:

32,292,000

Step-by-step explanation:

In your question, it asks how many license plate combinations we could make WITHOUT repeats.

We need some prior knowledge to answer this question.

We know that:

There are 26 letters in the alphabet
We can make 10 digits (0 - 9)

With the information we know above, we can solve the question.

Since we CAN'T have repeats, we would be excluding a letter or number for each license plate.

We're going to need to multiply each "section" in order to find how many combinations of license plates we can make.

We decrease by one letter and one number in each section since we can't have repeats.

Now, we can solve.

Work:

$26*25*24*23*10*9 = 32,292,000$

When you're done multiplying, you should get 32,292,000.

This means that there could be 32,292,000 different combinations of license plates.

<h3>I hope this helps you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

8 0

3 years ago

Read 2 more answers

Please help!!!!!! Solve for x:

nordsb [41]

A
Explanation: You want to get x by itself. So add +7 to -7 to cancel it out, do the same thing to 4.
x-7=4
+7+7
x=11
x

8 0

2 years ago