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RSB [31]
4 years ago
6

Please Help. And please show your work, Thanks!

Mathematics
1 answer:
SVEN [57.7K]4 years ago
6 0
I hope this helps......
oops leave it as fraction will be 24/7h

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Endpoints of segment MN have coordinates (0, −3), (−2, −4). Endpoints of segment AB have coordinates (2, 5), (4, k).
tatiyna

Answer:

The value of k is 6

Step-by-step explanation:

we know that

If two segments are parallel, then their slopes are the same

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope MN

we have

M(0, −3), N(−2, −4)

substitute

m=\frac{-4+3}{-2-0}

m=\frac{-1}{-2}

m=0.5

step 2

Find the slope AB

A(2, 5), B(4, k)

substitute in the formula

m=\frac{k-5}{4-2}

m=\frac{k-5}{2}

Remember that the slopes MN and AB must be equal

0.5=\frac{k-5}{2}

Solve for k

1=k-5

k=1+5=6

therefore

The value of k is 6

3 0
4 years ago
How many cents are in seven bills of 500 euros ?
Nataly_w [17]
5000 cents in 500 euros
7 0
4 years ago
A sample of 15 recent college graduates found that starting salaries for attorneys in New York City had a mean of $102,342 and a
cricket20 [7]

Answer:

The average salary of all recently graduated attorneys in New York City, 102,342 dollars.

Step-by-step explanation:

n = 15

Starting salaries for attorneys in New York City had a mean of $102,342

Standard deviation = $21,756

\mu represents the mean of the population

We are given that  salaries for attorneys in New York City had a mean of $102,342

So, Option B is true

The average salary of all recently graduated attorneys in New York City, 102,342 dollars.

3 0
3 years ago
In 2010 the restaurant industry emplyed 9% of the U.S. workface. If there are estimated to be 141 million americans in the workf
Vinil7 [7]
Don't know if I answered it right...but trying to help!...
<span><span>$782.7 billion: Restaurant industry sales.</span><span>1 million+: Restaurant locations in the United States.</span><span>14.4 million: Restaurant industry employees.</span><span>1.7 million: New restaurant jobs created by the year 2026.</span><span>10%: Restaurant workforce as part of the overall U.S. workforce.</span><span>9 in 10: Restaurant managers who started at entry level. </span><span>8 in 10: Restaurant owners who started their industry careers in entry-level positions.</span><span>9 in 10: Restaurants with fewer than 50 employees.</span><span>7 in 10: Restaurants that are single-unit operations.</span></span>
6 0
3 years ago
Which expression is equivalent to x2+3x+ 3+ (2x+134+15) - (x+5))
tia_tia [17]

Answer:

x^{2} + ( 4x) + (147)

Step-by-step explanation:

Here, the given expression is

x^{2} +3x +3 + (2x+134+15) - (x+5)

Now, simplifying the brackets, we get

x^{2} +3x +3 + (2x+134+15) - (x+5) = x^{2} +3x +3 + 2x+134+15 - x -5

Now, operate on the like terms.

= x^{2} + ( 3x + 2x -x) + (134 + 15 + 3 -5)

=x^{2} + ( 4x) + (147)

Hence, the given expression is simplified to the quadratic equation x^{2} + ( 4x) + (147)

5 0
3 years ago
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