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olga nikolaevna [1]
2 years ago
10

What is x???? please help!!!!

Mathematics
1 answer:
nadya68 [22]2 years ago
7 0

Answer:

x = 9

Step-by-step explanation:

4x + 38 = 10x - 16

The sum of two opposite interior angles is equal to the opposite exterior angle.

4x + 38 = 10x - 16

38 = 10x -16 - 4x

38 = 6x - 16

38 + 16 = 6x

54 = 6x

Divide both sides by 6

x = 9

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PLEASE HELP!<br>Calculate $40^{13} \pmod{85}.$
SVEN [57.7K]
In this type of calculations, we decompose 13 by checking the lowest powers of the base, that is 40. for example we check 40^2, or 40^3 and compare it to 85

Notice

40*40*40=64,000

so we check how many time does 85 fit into 64,000:

64,000/85=752.94

85*753=64,005;       64000-64,005=-5

this means that 

40^{3} =-5\pmod{85}

thus

40^{13} =40^{3*4+1}={(40^{3})}^{4}*40=(-5)^{4}*40 \pmod{85}=\\\\625*40\pmod{85}=(7*85+30)*40\pmod{85}=30*40\pmod{85}\\\\=1200\pmod{85}=(14*85+10)\pmod{85}=10\pmod{85}


Answer: 10 (mod85)

Remark, the set of all solutions is:

{......-75, 10, 95, .....}, that is 85k +10
7 0
3 years ago
Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with
Nitella [24]

The maximum mortgage payment allowed for someone with an annual salary of $83,750 would be $2512.50 per month.

<h2><u>What is the standard 28/36 guidelines?</u></h2>

To determine, using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $83,750, the following calculation must be made:

  • Annual salary x 36% / months = X
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Therefore, the maximum mortgage payment allowed for someone with an annual salary of $83,750 would be $2512.50 per month.

Learn more about maths in brainly.com/question/20589209

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2 years ago
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ivanzaharov [21]

Answer:

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Step-by-step explanation:

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Answer:

the answer is a

Step-by-step explanation:

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3 years ago
A bag with 8 marbles are shown below.What is the probability that they are white or grey
horrorfan [7]

Answer: 2/8

Step-by-step explanation:

The probability that the marbles are white or grey is 2/8 because since there is 2 marbles and the total is 8 so you have a probability of 25% to get white or gray

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