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3 years ago

What is the value of x? Show your work. (The JKL and MNP picture)

Mathematics

2 answers:

azamat3 years ago

4 0

Answer:

$x=7$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Triangles JKL and MNP are similar by AA Similarity Theorem

Remember that

If two figures are similar then the ratio of its corresponding sides is proportional

$\frac{JK}{MN}=\frac{JL}{MP}$

substitute the given values

$\frac{25}{30}=\frac{20}{4x-4}$

solve for x

Simplify

$4x-4=\frac{30}{25}(20)$

$4x-4=24$

$4x=24+4$

$4x=28$

$x=7$

Trava [24]3 years ago

3 0

In this case the answer would be the last option

because it is shrunk by 2/3 on just the x side

D is the only one who has that first transformation

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kiruha [24]

Answer:it is 14 hun.

Step-by-step explanation:

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3 years ago

2[3(4^2 +1)] - 2^3.

Sav [38]

Answer:

Step-by-step explanation:

Do parentheses first, exponents inside them first. 4^2 = 16, + 1 is 17, then multiply by the 3 outside to get 51, then multiply by the 2 outside that to get 102, - 2^3 which is -8 = 94

7 0

4 years ago

After the fraction x plus 1 all over 2 minus the fraction x plus 2 all over 3 x have been combined using the least common denomi

RoseWind [281]

If I've read this correctly, it looks like this.

$\dfrac{(x + 1)}{2 - \dfrac{(x + 2)}{3x}}$

If that is correct, then the first step is to put the top part of the denominator over 3x

$\dfrac{(x + 1)}{\dfrac{6x - (x + 2)}{3x}} = \dfrac{(x + 1)}{\dfrac{5x -2}{3x}}$

The next part is to flip a three tier fraction. I'm afraid I have to show what happens. My latex is not that strong.

What you get is

$\dfrac{3x*(x + 1)}{(5x - 2)}$

This is just about your final answer. You could write it as

$\dfrac{3x^2 + 3x}{(5x - 2)}$

6 0

3 years ago

45 + 60 = 15 x ___ + 15 x ___

tia_tia [17]

Answer:45+60=15x+15x

Step 1: Simplify both sides of the equation.

45+60=15x+15x

(45+60)=(15x+15x)(Combine Like Terms)

105=30x

Step 2: Flip the equation.

30x=105

Step 3: Divide both sides by 30.

30x/30= 105/30

x= 7/2

Answer:

x= 7/2

may i have brainliest please

3 0

3 years ago

So yeah if someone can help me with

Law Incorporation [45]

Answer:

y = x - 5

Step-by-step explanation:

The equation of the line parallel to the line $ax + by + c_1 = 0$ is $ax + by + c_2 = 0$ .

That is, equations of parallel lines differ only by constant.

The given equation is $y = x + 4$

This is written as $x - y + 4 = 0$

Therefore, the equation of the line parallel to this line is given by $x - y + c = 0$

The value of c is determined using the point given.

Substituting the point (3,-2) we get:

$3 + 2 + c = 0$

$\implies c = -5$

Therefore, the equation of the line becomes y = x - 5.

6 0

3 years ago