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2 years ago

Need help with this asap please

Mathematics

1 answer:

Rainbow [258]2 years ago

5 0

Since they are similar, that means they are proportionally the same.
So KL is similar to PN
JL is similar to PM

So,
You need to find how much bigger is the second triangle from first.
It is proportionally scaled up.

KL/JL = PN/ PM

You basically put in order of triangles. Left triangle on left side of equal sign and right triangle on right side of equal sign. You put in denominator the similar sides and numerator the similar sides (the side that is similar to the side of the other triangle)

5/6 = PN / 9
Cross-multiply
PN * 6 = 5*9
6PN = 45
PN =45/6

PN =7.5

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Step-by-step explanation:

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with (x₁, y₁ ) = B(0, 0) and (x₂, y₂ ) = ( $\frac{\sqrt{6} }{2}$ , $\frac{\sqrt{58} }{2}$ )

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3 years ago

A piece of cloth was 30 feet long. how long is this cloth in yards? one yard = 3 feet

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Step-by-step explanation:

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2 years ago

How can you get the variable alone in the equation x ÷ 9 = 279?

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2 years ago

Work out the value of a and b in the identity.<br> 3ax + 6 - 4(x + b)= 11x + 14

Levart [38]

Answer:

a=5, b=-2

Step-by-step explanation:

If you simplify the equation, you get:

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group together x's and constants:

(3a-15)x -8 -4b = 0

To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2

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3 years ago

Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = -2x 4 6x 3y =

wariber [46]

The missing value is 12 in a system of equations with infinitely many solutions conditions.

It is given that in the system of equations there are two equations given:

$\rm y =n -2x+4\\\rm and \\\rm 6x+3y= ?$

It is required to find the missing value in the second equation.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

We have equations:

$\rm y = -2x+4 ....(1)\\ \\\rm 6x+3y= ? ....(2)$

Let's suppose the missing value is 'Z'

We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.

From equation (1)

$\rm y = -2x+4 \\\\\rm 2x+y=4$ (multiply both the sides by 3)

$\rm 6x+3y=12$ ...(3)

By comparing the equation (2) and (3), we get

M = 12

Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.

Learn more about the linear equation.

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2 years ago