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3 years ago

Help please I’m stuck

Mathematics

2 answers:

Jlenok [28]3 years ago

4 0

12:4=3
9:3=3
so u multiply each side by 3 to get the second triangle..
answer: 4.5*3 =13.5

aniked [119]3 years ago

4 0

Answer:

k = 13.5 units

Step-by-step explanation:

Look for the similarity ratio.

Side YZ is similar to side BC because 9 is a factor of 3.

Side XZ is also similar to side AC since 12 is a factor of 4.

And the common thing between the factors is that they were both multiplied by 3.

3 × 3 = 9

4 × 3 = 12

So for the last side, which is 4.5, we have to multiply it by 3.

4.5 × 3 = 13.5

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Read 2 more answers

Write an equation that goes through (8,1) and is perpendicular to 2y + 4x =12

Serggg [28]

Answer:

2y -x + 6 = 0

Step-by-step explanation:

Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .

The given equation is ,

$\sf \longrightarrow 2y + 4x = 12 \\$

$\sf \longrightarrow 4x + 2y = 12$

Firstly convert this into slope intercept form , to find out the slope of the line.

$\sf \longrightarrow 2y = -4x +12\\$

$\sf \longrightarrow y =\dfrac{-4x+12}{2}\\$

$\sf \longrightarrow y =\dfrac{-4x}{2}+\dfrac{12}{2}\\$

$\sf \longrightarrow \red{ y = -2x + 6 }$

Now on comparing it to slope intercept form which is y = mx + c , we have ,

m = -2

And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,

$\sf \longrightarrow m_{\perp}=\dfrac{-1}{-2}=\red{\dfrac{1}{2}}$