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3 years ago

9

Joseph went to college in New York (75 degrees West longitude). His girlfriend, Jennifer, went to college in Utah (105 degrees W

est longitude). If they are talking on the phone and it is 9 pm in New York, what time is it for Jennifer?

1 answer:

Anarel [89]3 years ago

4 0

<h2>Answer:</h2><h2>7:00 PM</h2><h2>Utah is 2 hours behind New York.</h2><h2>Hope this helps!!</h2>

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F 7x = 42, find the value of 44 - 8x

Pie

The value is -4.
7x=42
/7 /7 (Divide both sides by 7)
x=6
If we insert x=6 into 44-8x, it is 44-8(6), which is 44-48.
44-48=-4, so the answer is -4.

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3 years ago

Use math notation to describe the following sequence: <br> 1, -1, 1, -1,...

Veseljchak [2.6K]

Answer:

The math notation to the given sequence is $a_n=(-1)^{n+1}$ for n=1,2,3,... is verified and it is true

Step-by-step explanation:

Given sequence is 1,-1,1,-1,...

Let $a_1=-1,a_2=1,a_3=-1,a_4=-1,...$

To find the math notation for the given sequence :

$a_n=(-1)^{n+1}$ for n=1,2,3,... verify that it is true or not

Put n=1 in the above equation we get

$a_1=(-1)^{1+1}$

$=(-1)^2$

Therefore $a_1=1$

Put n=2 in the $a_n=(-1)^{n+1}$ equation we get

$a_2=(-1)^{2+1}$

$=(-1)^3$

Therefore $a_2=-1$

Put n=3 in the $a_n=(-1)^{n+1}$ equation we get

$a_3=(-1)^{3+1}$

$=(-1)^4$

Therefore $a_3=1$

and so on

Therefore the math notation to the given sequence is $a_n=(-1)^{n+1}$ for n=1,2,3,... is verified and it is true

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3 years ago

Given: Circle O with diameter LN and inscribed angle LMN<br> Prove: is a right angle.

skad [1K]

Method 1.

Look at the picture 1.

We have:

$2\alpha=180^o\ \ \ \ |:2\\\\\alpha=90^o$

Picture 2.

$m\angle LMN=90^o$

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

Method 2. (Picture 3)

ΔLOM and ΔMON are isosceles triangles. Therefore the two angles opposite the legs are equal.

The sum of the internal angles in each triangle is 180°. Thereofre in ΔLMN we have:

$\alpha+\beta+\beta+\alpha=180^o\\\\2\alpha+2\beta=180^o\ \ \ |:2\\\\\alpha+\beta=90^o$

$m\angle LMN=\alpha+\beta\to m\angle LMN=90^o$

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3 years ago

What is the measurement, in degrees, of angle 1?

Lyrx [107]

Answer:

180 - 55 = angle 1

80 - 55 = 25 so 180 - 55 = 125

angle 1 = 125 degrees

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3 years ago

Solve by completing the square<br><br>x squared +14x - 51=0

Nesterboy [21]

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3 years ago