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aev [14]
3 years ago
11

Hector wrote the following proof for his geometry homework for the given problem:

Mathematics
2 answers:
neonofarm [45]3 years ago
7 0

The answer is- corresponding parts of congruent triangles are congruent

Korolek [52]3 years ago
4 0
We are already given with the following statements and proofs:
segment LN ≅ <span>NP Given
∠1 ≅ ∠2 Given
∠N ≅ ∠N Reflexive Property
ΔLNO ≅ ΔPNM Angle-Angle-Side Postulate

The last statement:
</span><span>∠NLO ≅ ∠NPM
is proved by:
</span><span>Corresponding Parts of Congruent Triangles Are Congruent
</span>
You might be interested in
A recipe requires 3/4 cups of water targa has a measuring cup that is marked only in ounce but she knows that 8 ounces is equiva
bulgar [2K]

Answer:

6 ounces of water

Step-by-step explanation:

In this question, we are asked to calculate the amount in ounce that would be added to the recipe.

From the question, we can see that the recipe requires 3/4 cups of water.

From the question also, we can also see that one cup equals 8 ounces.

Now to know the amount of water that is to be added, what we need to do is to simply multiply the fraction of water in the recipe by 8 ounces

This is equal to 3/4 * 8 = 6 ounces

Hence, she needs to add a total of 6 ounces of water to the recipe

5 0
3 years ago
Read 2 more answers
Of people who died in the United States in a recent year, 86% were white, 12% were black, and 2% were Asian. (We will ignore the
Marianna [84]

Answer:

To three decimal place  = 0.030

Step-by-step explanation:

Let probability of death in white p (WH) = 86%

Let probability of death in black p(B) =12%

Let probability of death in Asian p(A) = 2%

Probability of death caused by diabetes among white will be 2.8% of p (WH) = 0.86 x 0.028 = 0.02408

Probability of death caused by diabetes among black will be 4.4% of p (B) = 0.12 x 0.044 = 0.00528

Probability of death caused by diabetes among Asian will be 3.5% of p (A) = 0.02x 0.035 = 0.0007‬

If a sample is chosen and the cause is diabetes then the probability will be

Probability of death caused by diabetes among white or Probability of death caused by diabetes among black or Probability of death caused by diabetes among Asian  

0.02408 +0.00528 +0.0007 = 0.03006

To three decimal place  = 0.030  

5 0
3 years ago
Please help i don't understand!
vaieri [72.5K]

Answer: 9. x=-3/2     10. x=2

                   x= 5/2           x=5/3

Step-by-step explanation:

9. Factor the equation:

How: put 4x^2 in the bottom left box and -15 in the upper right box.

then multiply 4x^2 x -15 = -60x^2 and put your answer in the top center box of the diamond.

Put the -4x from the equation in the bottom box. Then list out factors that multiply to the top box (-60x^2) and add to the bottom box (-4x) The two factors are -10 and 6

-10 x 6 = -60

-10 + 6 = -4

Put -12x and -5x in the remaining white boxes and find what numbers multiply to each.

I attached a picture. The colored dots correspond with each other.

Eg: Orange dot x orange dot = number in white square

Now you get the two factors (2x+3)(2x-5)

Set both of these equal to 0 and solve

0=2x+3     0=2x-5

x= -3/2       x= 5/2

Do the same for the other problem

7 0
2 years ago
A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho
IRISSAK [1]
<h2>Hello!</h2>

The answer is: 23.77 hours

<h2>Why?</h2>

Total(t)=Start*2^\frac{t}{15}

Where:

Total(t) is equal to the amount for a determined time (in hours)

<em>Start</em> is the original amount

<em>t </em>is the time in hours.

For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:

Total(15)=100*2^\frac{15}{15}=100*2^{1}=100*2=200

To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:

300=100*2^{\frac{t}{15} } } \\\frac{300}{100}=2^{\frac{t}{15} } }\\log(3)=log(2^{\frac{t}{15} })\\\\\\log(3)=\frac{t}{15}*log2\\t=\frac{log(3)}{log(2)} *15=23.77

So, to know if we are right, let's replace 23.77 h in the equation:

Total(t)=100*2^\frac{23.77}{15}=299.94

and 299.94≅300

Have a nice day!

8 0
3 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words.
Alex_Xolod [135]

Answer:


Step-by-step explanation:

Given that prices for a pair of shoes lie in the interval

[80,180] dollars.

Delivery fee 20% of price.  

i.e. delivery fee will be in the interval [4, 9]

(1/20th of price)

Total cost= price of shoedelivery cost

Hence f(c) = c+c/20 = 21c/20

The domain of this function would be c lying between 80 to 180

So domain =[80,180]

---------------------------------

Amount to be repaid = 42 dollars

Once he received this amount, the price would be

105+42 =147

But since price range is only [21*80/20, 21*180/20]

=[84, 189]

Since now Albert has 147 dollars, he can afford is

[80,147]




6 0
3 years ago
Read 2 more answers
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