1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svp [43]
3 years ago
11

JK=2X KL=X+2 and JK=5X-10

Mathematics
1 answer:
elixir [45]3 years ago
5 0

JK + KL = JL

JK = 2x, KL = x + 2, JL = 5x - 10

therefore we heve the equation:

2x + (x + 2) = 5x - 10

3x + 2 = 5x - 10 |-2

3x = 5x - 12 |-5x

-2x = -12 |:(-2)

x = 6

JK = 2x → JK = 2(6) = 12

KL = x + 2 → KL = 6 + 2 = 8

JL = 5x - 10 → JL = 5(6) - 10 = 30 - 10 = 20

Check:

JK + KL = JL

12 + 8 = 20 CORRECT :)

You might be interested in
<img src="https://tex.z-dn.net/?f=%28x%5E%7B2%7D%20%2Bx-3%29%3A%20%28x%5E%7B2%7D%20-4%29%5Cgeq%201" id="TexFormula1" title="(x^{
Jlenok [28]

Answer:

x>2

Step-by-step explanation:

When given the following inequality;

(x^2+x-3):(x^2-4)\geq1

Rewrite in a fractional form so that it is easier to work with. Remember, a ratio is another way of expressing a fraction where the first term is the numerator (value over the fraction) and the second is the denominator(value under the fraction);

\frac{x^2+x-3}{x^2-4}\geq1

Now bring all of the terms to one side so that the other side is just a zero, use the idea of inverse operations to achieve this:

\frac{x^2+x-3}{x^2-4}-1\geq0

Convert the (1) to have the like denominator as the other term on the left side. Keep in mind, any term over itself is equal to (1);

\frac{x^2+x-3}{x^2-4}-\frac{x^2-4}{x^2-4}\geq0

Perform the operation on the other side distribute the negative sign and combine like terms;

\frac{(x^2+x-3)-(x^2-4)}{x^2-4}\geq0\\\\\frac{x^2+x-3-x^2+4}{x^2-4}\geq0\\\\\frac{x+1}{x^2-4}\geq0

Factor the equation so that one can find the intervales where the inequality is true;

\frac{x+1}{(x-2)(x+2)}\geq0

Solve to find the intervales when the equation is true. These intervales are the spaces between the zeros. The zeros of the inequality can be found using the zero product property (which states that any number times zero equals zero), these zeros are as follows;

-1, 2, -2

Therefore the intervales are the following, remember, the denominator cannot be zero, therefore some zeros are not included in the domain

x\leq-2\\-2

Substitute a value in these intervales to find out if the inequality is positive or negative, if it is positive then the interval is a solution, if it is negative then it is not a solution. This is because the inequality is greater than or equal to zero;

x\leq-2   -> negative

-2   -> neagtive

-1\leq x   -> neagtive

x>2   -> positive

Therefore, the solution to the inequality is the following;

x>2

6 0
2 years ago
6 cm<br> 4 cm<br> 7 cm<br> It’s a rectangular pyramid.
Vikki [24]

<em>HOPE</em><em> </em><em>THIS</em><em> </em><em>WILL</em><em> </em><em>HELP</em><em> </em><em>U</em><em>.</em><em>.</em><em>.</em>

7 0
2 years ago
Read 2 more answers
What’s the average of the following set of numbers ( 7,5,4,9)
Eduardwww [97]

Answer:

6.25

Step-by-step explanation:

We\ are\ given:\\Observations\ in\ the\ Set=(7,5,4,9)\\ As\ we\ know\ that,\\ Average\ or\ interchangeably\ mean=\frac{Total\ Sum\ of\ observations }{Total\ no.\ of\ observations} \\Here,\\Total\ sum\ of\ the\ observations=7+5+4+9=25\\Total\ number\ of\ observations=4\\Hence\ here,\\Mean/Average=\frac{25}{4}=6.25

6 0
3 years ago
Which of the following are composite numbers?
Lady bird [3.3K]
33, 21,49
Are all composite numbers. :)
7 0
3 years ago
In a sequence described by a function, what does the notation f(3) = 1 mean?
Rudik [331]

Answer:

The third term in the sequence has a value of 1.

Step-by-step explanation:

"f(x)" is the name (label) of the function.  If x is replaced by "3", f(3) represents the value of the 3rd term of the function, which is 1.  This corresponds to Answer 3:  The third term in the sequence has a value of 1.

5 0
3 years ago
Other questions:
  • a large bench is 7 1/6 feet long. it is 17 inches longer than the shorter bench. how many inches long is the shorter bench
    12·2 answers
  • The measure of central angle YCZ is 80 degrees
    12·2 answers
  • WILL GIVE BRAINLIEST!<br> I need the answer to angle A
    9·2 answers
  • Line Z Y also contains points E and G. A line is drawn from point E to point F, and then to point X. Another line is drawn from
    14·1 answer
  • 2. Which of the following might cause pollution?
    9·2 answers
  • Through: (4, -3), perp. to y=-2x + 1
    9·1 answer
  • A bottle holds 255 milliliters of shampoo. How many liters will 32 bottles hold?
    10·1 answer
  • Please help me answer this
    8·1 answer
  • Help ASAP! Will give brainliest if correct. aa god pls be correct
    13·1 answer
  • Can someone please explain what they did wrong in the problem and explain how you would fix it. (8grade math)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!