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SVETLANKA909090 [29]
3 years ago
15

Determine the numerical length of JK.​

Mathematics
2 answers:
kvasek [131]3 years ago
6 0
The length of JK is 21

This is because JK + IJ = IK so x+6+9=2x

This can be simplified to x+15=2x and then even further to 15=x

Now that you have x, you can plug it into the equation for JK

so 15+6=21
Zarrin [17]3 years ago
5 0

Answer:

30

So the two sectors add to the full length:

JK + IJ = IK

x+6 + 9 = 2x

Rearrange:

x=15

So the numerical length:

2x

2*15

30

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I need help on question 2 i need the simplified answer and the restrictions
Anastaziya [24]

Answer:

x cannot be 5 or -3.

\frac{x+5}{x+3}

Step-by-step explanation:

The restrictions for a fraction is that the bottom cannot be 0.

So if we find when the bottom is 0 we have found the values that x cannot be.

Let's solve x^2-2x-15=0.

Since the coefficient of x^2 is 1 all we have to do is find two numbers whose product is -15 and whose sum is -2.

Those numbers are -5 and 3 since (-5)(3)=-15 and (-5)+(3)=-2.

So the factored form of the equation is:

(x-5)(x+3)=0

This means either x-5=0 or x+3=0.

We do have to solve both.

x-5=0 can be solved by adding 5 on both sides.

x-5+5=0+5

x+0=0+5

x=5

x+3=0 can be solved by subtracting 3 on both sides.

x+3-3=0-3

x+0=0-3

x=-3

So x can be any number except x=5 or x=-3.

We already factored the bottom as (x-5)(x+3).

The top is a difference of squares, x^2-a^2,

which can be factored as (x-a)(x+a).

So the top factors as (x-5)(x+5).

The fraction can then be written as:

\frac{x^2-25}{x^2-2x-15}=\frac{(x-5)(x+5)}{(x-5)(x+3)}

This can further simplified assuming x is not 5 we can write it as \frac{x+5}{x+3}.  I canceled the common factor of (x-5).

5 0
3 years ago
The mean of 100 observation is found to be 40. If at the time of compution two items were wrongly taken as 30 and 27 instead of
Colt1911 [192]

Answer:

40.18

Step-by-step explanation:

According to this question, the mean of 100 observation is found to be 40. This means that the number of values in the set of data is 100. However, at the time of computation two items were wrongly taken as 30 and 27 instead of 3 and 72.

The mean is derived by dividing the sum of values in the data (Σx) by the number of observations (n) i.e.

Mean = Σx/n

For the computation error:

Mean = 40

Let x represent the sun of other 98 values except 30 and 27

n = 100

40 = x + 30 + 27/100

40 = 57 + x/100

Cross multiply

4000 = 57 + x

x = 4000 - 57

x = 3943.

Sum of other 98 values = 3943.

Now, let's find the correct mean with correct values of 3 and 72;

Mean = Σx/n

Mean = 3943 + 3 + 72/100

Mean = 4018/100

Mean = 40.18

7 0
3 years ago
Select the correct location on the table.
enot [183]

Answer:

someone plz answer this I need the answer

Step-by-step explanation:

8 0
3 years ago
The questions are included in the images below. If you can solve AND EXPLAIN it to me, then I will give brainliest to whoever an
Feliz [49]

Answer:

blep

Step-by-step explanation:

Higher then the levels of ten and lower of the x-axis through the ten starting with negative ten to y axis 10

3 0
3 years ago
Read 2 more answers
Anyone know this please???
Kazeer [188]

Answer: Choice A

The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.

==============================================

Explanation:

Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.

It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.

Going back to the triangles, we know that the sides are congruent by the tickmarks

  • side MN = side RS (single tickmark)
  • side NP = side ST (double tickmarks)
  • side MP = side RT (triple tickmarks)

That takes care of the first part of choice A.

And similarly, the angle markers tell us which angles are congruent

  • angle M = angle R  (single arc)
  • angle N = angle S (90 degree angle marker)
  • angle P = angle T (double arc)

That concludes the second part of choice A.

6 0
3 years ago
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