# What value of x would make KM ∥ JN?Triangle J L N is cut by line segment K M. Line segment K M goes from side J L to side L N. The length of J K is x minus 5, the length of K L is x, the length of L M is x + 4, and the length of M N is x minus 3.Complete the statements to solve for x.By the converse of the side-splitter theorem, if JK/KL = , then KM ∥ JN.Substitute the expressions into the proportion: StartFraction x minus 5 Over x EndFraction = StartFraction x minus 3 Over x + 4 EndFraction.Cross-multiply: (x – 5)() = x(x – 3).Distribute: x(x) + x(4) – 5(x) – 5(4) = x(x) + x(–3).Multiply and simplify: x2 – x – = x2 – 3x.Solve for x: x = .

x = 10

Step-by-step explanation:

By the converse of the side-splitter theorem, if , then KM ∥ JN.

Substitute the expressions into the proportion:

Cross-multiply:

(x – 5)(x+4) = x(x – 3).

Distribute:

Multiply and simplify:

Solve for x: x = 10

Therefore, the value of x that would make KM parallel to JN is 10.

What value of x would make KM ∥ JN?

Triangle J L N is cut by line segment K M. Line segment K M goes from side J L to side L N. The length of J K is x minus 5, the length of K L is x, the length of L M is x + 4, and the length of M N is x minus 3.

Complete the statements to solve for x.

By the converse of the side-splitter theorem, if JK/KL =

✔ NM/ML

, then KM ∥ JN.

Substitute the expressions into the proportion: StartFraction x minus 5 Over x EndFraction = StartFraction x minus 3 Over x + 4 EndFraction.

Cross-multiply: (x – 5)(

✔ x + 4

) = x(x – 3).

Distribute: x(x) + x(4) – 5(x) – 5(4) = x(x) + x(–3).

Multiply and simplify: x2 – x –

✔ 20

= x2 – 3x.

Solve for x: x =

✔ 10

.Step-by-step explanation:

## Related Questions

-68 divided (-4)

Help ASAP

Today: Wednesday, 14 October 2020

Hour: 12.58 WIB

______________________________

-68 divinded (-4) is 17

Two negatives = positive (17)

Step-by-step explanation:

Kristi went to the coffee shop and got each ofher 3 kids a $4 cake pop. She also got herself a$5 chai tea latte. How much did Kristi spend
at the coffee shop?

\$17

Step-by-step explanation:

Hope this helps!

12 dollars

Step-by-step explanation:

she spent 4 dollars for each of 3 kids so what I did was multiply 3 times 4, and got 12 dollars then she spent 5 dollars on her self which was 17 dollars she spent in the coffee shop.

Find the slope (m) and the y-intercept (b) of the given line on the graph. pls show work/explanation!

Slope: 1; Y-int: (0,2)

Step-by-step explanation:

The slope is rise over run, the equation is y two minus y one divided by x two minus x one.

(3-2) / (1-0) = 1

The y-int. is where the line crosses the y-axis, or the x value is 0.

Hope this helps :)

The path of the water in a pond fountain can be modeled by y=-0.1x^2+2.8x , where x and y are measured in feet. The x -axis represents the surface of the pond. Find the width of the path at the surface of the pond and the height of the path.Width: ___ ft
Height: ___ ft

the width of the path at the surface of the pond is 14 feet, and the height of the path above the surface of the pond is 19.6 feet.

Step-by-step explanation:

To find the width of the path at the surface of the pond, we need to find the x-coordinate of the vertex of the parabola y = -0.1x^2 + 2.8x. The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -0.1 and b = 2.8. Substituting these values, we get:

x = -2.8 / 2(-0.1) = 14

So the width of the path at the surface of the pond is 14 feet.

To find the height of the path, we need to find the y-coordinate of the vertex of the parabola y = -0.1x^2 + 2.8x. The y-coordinate of the vertex is given by:

y = f(x) = -0.1(x - h)^2 + k

where (h,k) is the vertex of the parabola. To find the vertex, we can use the formula:

h = -b/2a and k = f(h)

Substituting a = -0.1 and b = 2.8, we get:

h = -2.8 / 2(-0.1) = 14

k = f(14) = -0.1(14)^2 + 2.8(14) = 19.6

So the vertex of the parabola is (14, 19.6), which means the maximum height of the path above the surface of the pond is 19.6 feet.

Therefore, the width of the path at the surface of the pond is 14 feet, and the height of the path above the surface of the pond is 19.6 feet.

Which graphs represent functions?

i would say the answer is c. only graph d ,, think of the line test to see if a graph is a function or not

Graphs that represent functions have one input corresponding to one output. Examples include straight lines, parabolas, and sine waves.

### Explanation:

Graphs that represent functions are those in which every input has exactly one output. In other words, there can only be one value of y for each value of x.  For example, a straight line, a parabola, or a sine wave are graphs that represent functions.

On the other hand, graphs that do not represent functions may have one input value mapping to multiple output values or no output values at all. Examples of such graphs include circles, ellipses, or a graph with one vertical line intersecting it at multiple points.

It's important to note that in a function, the vertical line test can be used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph does not represent a function.

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The circumference of a circle is22 cm find the radiusof the circle​