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iogann1982 [59]
3 years ago
9

If JKL ~ MKN, find the value of x.

Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer: X=14

Step-by-step explanation:

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Five times the smallest of three consecutive odd integers is seven more than twice
Fantom [35]

Answer:

5, 7, 9

Step-by-step explanation:

Using the information given we get:

5x-7=2z

x+2=y\\y+2=z\\x+4=z

5x-7=2(x+4)\\5x-7=2x+8\\

<em>Add 7 to both sides</em>

5x=2x+15

<em>Subtract 2x from both sides</em>

3x=15

<em>Divide both sides by 3</em>

x=5

Using these equations:

x+2=y\\y+2=z\\x+4=z

and

x=5

We get:

x=5\\y=7\\z=9

4 0
3 years ago
The bear was chosen
cestrela7 [59]

Answer:

it was chosen 9 more times

Step-by-step explanation: i had this on my quiz

6 0
3 years ago
Find the slope of the line perpendicular
siniylev [52]
Ok since your given two points of (-5,2) and origin which is always (0,0) you can find the slope with this formula of y2-y1/x2-x1 plug them in the formula and you should get 0-2/0-5 which is equal to -2/-5 or 2/5 negative signs cancel out now you found your slope but remember the promblem was asking for perpendicular slope to get this you simply flip or reciprocate the slope and take take the opposite sign in our case the slope is 2/5 but the perpendicular version is -5/2 hope this helps.
6 0
3 years ago
A country is planning to decrease government spending in order to reduce the national debt. If the outlined changes are put into
SOVA2 [1]

<u>Answer</u>

Graph D represents the national debt of the country over the next years.

<u>Solution-</u>

The country's debt will decrease exponentially by one-third each year.

Current debt is $60 billion.

This problem can be treated as an exponential decay problem.

The general exponential decay function is,

y=a(r)^{-x}

Where,

a = initial value,

r = rate of change,

-ve sign of x represents the decrease in value of y as x increases.

Here, the rate of change is 3 as each year the debt becomes on third, and initial value of debt is $60, so

y=60(3)^{-x}

Plotting a graph taking number of year on x-axis and debt on y-axis, we can generate a graph for this function.

Putting different values of x, we can get the values of y. So the graph must have (0, 60), (1, 20), (2, 6.66), (3, 2.22), (4, 0.74), (5, 0.24) points on it.

Option B and C are incorrect, as they do not start from 60. (they don't have (0,60) on their curve)

Between option A and D, curve in D has all the points on it. So D is the correct graph.

5 0
3 years ago
Read 2 more answers
A Russian blue kitten costs $150 more than Manx kitten 9 blue kittens and 8 Manx kittens costs. Total of 14,100 write down a alg
Dmitriy789 [7]

Answer:

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

Step-by-step explanation:

Given that:

Russian blue kitten costs $150 more than Manx kitten.

Cost of 9 blue kittens and  8 Manx kittens = $14100

Let,

x be the price of one Russian blue kitten.

y be the price of one Manx kitten.

According to given statement;

9x+8y=14100

x = y+150

Hence,

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

5 0
3 years ago
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