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Mashutka [201]
3 years ago
13

What is the length of MN

Mathematics
2 answers:
dexar [7]3 years ago
8 0
15, because angle L and N are equal, 3x=x+10 so x=5, plugging it in, we get that MN is 15
Paraphin [41]3 years ago
4 0

Answer:

Option A. MN=15\ units

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two interior equal angles

The triangle LMN is an isosceles triangle

therefore

ML=MN

substitute the values

3x=x+10

solve for x

3x-x=10

2x=10

x=10/2=5\ units

Find the length of MN

MN=x+10 -----> MN=5+10=15\ units

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Scale factor is:
factor = (new length) / (old length)
Ivan correctly inserted numbers and correctly divided these two numbers by 5.

There is no error in the shown picture.
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I'll give brainliest if you show your work. Plz answer quickly.
Maslowich

Answer:

  C) In step 3, he should have determined which square is closest to 18.

Step-by-step explanation:

17.64 also rounds to 18. 17.64 differs from 18 by ...

  18 -17.64 = 0.36

whereas 18.49 differs from 18 by ...

  18.49 -18 = 0.49

Hence 17.64 is closer to 18 and we might expect 4.2 to be closer to √18 than is 4.3.

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The actual root of 18 is about 4.243, so 4.2 is a better approximation.

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Which is the value of this expression when p=-2 and q=-1?
saul85 [17]

Answer:

D. 4

Step-by-step explanation:

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8 0
3 years ago
You are applying for an 80/20 mortgage to buy a house costing $145,000. The first (80%) mortgage has an interest rate of 4.75%,
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Answer:

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A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

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EMI=\dfrac{P\cdot r}{1-(1+r)^{-n}}

Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}

EMI=605.11

Total payment for case 1: 605.11 x 360 = $217,839.60

Case 2:

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Rate of interest, r = 4.75% = 0.07525

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}

EMI=203.27

Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

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