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lakkis [162]
3 years ago
12

KM bisects ∠LKJ. If m∠LKM = 4x + 12 and m∠MKJ = 6x - 6, find the value of x. *

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0

Given that,

KM bisects ∠LKJ.

m∠LKM = 4x + 12 and m∠MKJ = 6x - 6

To find,

The value of x.

Solution,

As KM bisects ∠LKJ. It would mean that,

m∠LKM = m∠MKJ

Putting the above values,

4x+12=6x-6

We can solve the above equations as follows :

4x-6x=-12-6

-2x=-18

x=9

Therefore, the value of x is equal to 9.

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With a short time remaining in the​ day, a delivery driver has time to make deliveries at 7 locations among the 9 locations rema
kotegsom [21]
<h2>Answer:</h2>

The different possible routes are​ :

                           181440

<h2>Step-by-step explanation:</h2>

We are asked to find the number of different routes that are possible to choose  7 locations among the 9 locations remaining.

This means that we have to chose the locations and also we have to arrange them in different orders according to the different order of locations.

The method we have to use is a method of permutation.

When we have to chose and arrange r items out of a total of n items then the formula is given by:

n_P_r=\dfrac{n!}{(n-r)!}

Here we have: n=9

and r=7

Hence, the different possible routes are:

9_P_7=\dfrac{9!}{(9-7)!}\\\\\\9_P_7=\dfrac{9!}{2!}\\\\\\9_P_7=181440

       Hence, the answer is:

                  181440

5 0
3 years ago
A passenger plane travels at about 7.62 x 10^2 feet per second. The plane takes 1.23 x 10^4 seconds to reach its destination. Ab
vagabundo [1.1K]

Multiply the two values together. 7.62 x 1.23 = 9.3726
10^2 x 10^4 = 10^6.

9.3726 x 10^6 is the answer in Scientific Notation.

6 0
3 years ago
What is the equation for the line?
postnew [5]

Answer:

y=mx+b

so, y=1/4x+6

Step-by-step explanation:

plug in, then simplify the slope.

8 0
3 years ago
Please help me with this please and thank you
Ierofanga [76]

Step-by-step explanation:

a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".

so,

6×r = 18

r = 18/6 = 3

and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.

a0 = 6

a1 = a0 × 3 = 6×3 = 18

a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54

an = a0 × 3^n = 6 × 3^n

so,

f(x) = 6×3^x, x is integer, x >=0

4 0
3 years ago
0.0000024 in scientific notation
serious [3.7K]
Hey, here it is: 2,4 x 10^-6
8 0
3 years ago
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