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gladu [14]
3 years ago
13

Point L is on line segment KM

Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

Answer:

KL = 15

Step-by-step explanation:

Given that,

Point L is on the line segment KM.

We have, KM=5x+10, LM=4x, and KL=3x

ATQ,

KM = KL + LM

Putting all the values, we get :

5x+10=3x+4x

5x+10 = 7x

Taking like terms together

5x-7x=-10

-2x=-10

x=5

Put x = 5 in KL = 3x

KL = 3(5) = 15

So, the value of length KL is 15.

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What is the slope of the line through (2,5) and (-1,2)?
Luden [163]

Answer:

The slope of the line is m = 1

Step-by-step explanation:

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m = y2-y1 / x2-x1

m = 2 - 5 / -1 - 2

m = -3 / -3

m = 1

X1 is 2

Y1 is 5

X2 is -1

Y2 is 2

6 0
3 years ago
Seven times a number is less than or equal to a quantity that is 24 less than that same
Ad libitum [116K]

Answer:

7x\leq x-24

Here, x denotes the required number.

Step-by-step explanation:

Let x denotes the required number that satisfies the following condition.

''seven times a number is less than or equal to a quantity that is 24 less than that same  number''

Seven times a number is equal to 7x

Quantity that is 24 less than that same  number is equal to x-24

Now find the inequality.

As seven times a number is less than or equal to a quantity that is 24 less than that same  number,

7x\leq x-24

6 0
3 years ago
Which number is the smallest?
Natalka [10]

Answer:

E D C are the answers for the questions

3 0
2 years ago
Find the x and y intercepts of the equation 8x+y=-9
Juliette [100K]

Answer:

see explanation

Step-by-step explanation:

To find the intercepts, that is where the graph crosses the x and y axes.

• Let x = 0, in the equation for y-intercept

• Let y = 0, in the equation for x-intercept

x = 0 : 0 + y = - 9 ⇒ y = - 9 ⇒ (0, - 9 ) ← y- intercept

y = 0 : 8x + 0 = - 9 ⇒ x = - \frac{9}{8} ⇒ ( - \frac{9}{8}, 0) ← x- intercept


7 0
3 years ago
In 1985 there were 275 cell phone subscribers in the small town of China grove. Subscribers increased by 40% each year after 198
emmasim [6.3K]
1985year ->275cell phones->100%
1994year -> x cell phones ->100%+360%
40% • (1994-1985)= 40% • 9= 360%

275 cell phone 100%
X cell phones. 100+360%=460%
x=275•460%/100%
x=12420/100
x=1265
99% sure this is a correct answer


x=275 • 460%/100%
x=12,420/100
x=1265

1994-1985= 9 yrs • 40%= 360%

5 0
3 years ago
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