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BabaBlast [244]
3 years ago
9

Find the measure of line KM. A. 14 B. 9 C. 12 D. 10

Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0

\\ \sf\longmapsto \dfrac{3}{x-4}=\dfrac{6}{x-5}

\\ \sf\longmapsto 3(x-5)=6(x-4)

\\ \sf\longmapsto 3x-15=6x-24

\\ \sf\longmapsto 3x-6x=-24+15

\\ \sf\longmapsto -3x=-9

\\ \sf\longmapsto x=\dfrac{-9}{-3}

\\ \sf\longmapsto x=3

\\ \sf\longmapsto KM=3+6=9

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O Destiny has read -2b + 78 pages in a book that has 10b + 3 pages in all. She has 12b - 75 pages left to read. true or false ​
Gemiola [76]

Answer:

True

Step-by-step explanation:

The pages left = total pages - the pages read

(10b + 3) - (-2b +78)

10b + 2b + 3 - 78

12b - 75

The pages left is equal to 12b - 75

4 0
2 years ago
In Chemistry class, Samantha finds that she can make a certain solution by mixing 0.04 liters of chemical A with 0.02 liters of
Jet001 [13]

Answer:

  0.16 liters of water

Step-by-step explanation:

Samantha's recipe makes 0.06 liters of solution. She wants 0.48 liters of solution, an amount 0.48/0.06 = 8 times as great as made by one recipe.

The recipe calls for 0.02 liters of water. To make 8 times the amount of solution, Samantha will use 8 times as much water: 0.16 liters.

Samantha will use 0.16 liters of water to make 0.48 liters of solution.

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Alternate solution

The fraction of solution that is water is (0.02 L)/(0.06 L) = 1/3. For 0.48 L of solution, the water needed is 1/3×0.48 L = 0.16 liters.

8 0
2 years ago
Read 2 more answers
The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou
Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as\sigma^2 = mean = 6.2

hence, standard deviation is given as \sqrt{6.2} = 2.48998

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is

P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)

                 = \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}

                 = 0.002029 + 0.012582+ 0.039006

                 = 0.053617

                = 0.0536

7 0
3 years ago
What is the slope-intercept form of an equation for a line with a y-intercept of –5 and a slope of 2?
Inga [223]

Answer: y=2x-5. so it's 2

remember the following equation: y=mx+b.

the slope is always m, the y intercept is b.

5 0
3 years ago
88+88+88+88+88+88+88+88 times 88=_________
Nastasia [14]

Answer:

It's your friend at school. 8360 is your answer.

Step-by-step explanation:

88 + 88

= 176 + 88

= 264 + 88

= 352 + 88

= 440 + 88

= 528 + 88

= 616 + 88 =

704 x 88

= 8360

3 0
3 years ago
Read 2 more answers
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