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2 years ago

Simplify this fraction: 2160/10

Mathematics

2 answers:

murzikaleks [220]2 years ago

7 0

Answer:

216

Step-by-step explanation:

2160/10 simplified is 216

sergejj [24]2 years ago

3 0

Answer:

216

Step-by-step explanation:

2160 divided by 10 is 216.

hope this helps ;)

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grin007 [14]

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2 years ago

Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC . What is the leng

Thepotemich [5.8K]

Answer:

Length of side of rhombus is $x=\frac{ab}{a+b}$

Step-by-step explanation:

Given Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC. We have to find the length of side of rhombus.

It is also given that AB=a and AC=b

Let side of rhombus is x.

In ΔCEF and ΔCBA

∠CEF=∠CBA (∵Corresponding angles)

∠CFE=∠CAB (∵Corresponding angles)

By AA similarity rule, ΔCEF~ΔCBA

∴ their sides are in proportion

$\frac{EF}{AB}=\frac{CF}{AC}$

⇒ $\frac{x}{a}=\frac{b-x}{b}$

⇒ $xb=ab-ax$

⇒ $x(a+b)=ab$

⇒ $x=\frac{ab}{a+b}$

Hence, length of side of rhombus is $x=\frac{ab}{a+b}$

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3 years ago

PLEASE SHOW ALL YOUR WORK TO GET BRAINLIEST AWARD

krek1111 [17]

7x+2y=5;13x+14y=-1 Solution : {x,y} = {1,-1} System of Linear Equations entered : [1] 7x + 2y = 5 [2] 13x + 14y = -1 Graphic Representation of the Equations : 2y + 7x = 5 14y + 13x = -1 Solve by Substitution :

// Solve equation [2] for the variable y

[2] 14y = -13x - 1 [2] y = -13x/14 - 1/14

// Plug this in for variable y in equation [1]

[1] 7x + 2•(-13x/14-1/14) = 5 [1] 36x/7 = 36/7 [1] 36x = 36

// Solve equation [1] for the variable x

[1] 36x = 36 [1] x = 1

// By now we know this much :

x = 1 y = -13x/14-1/14

// Use the x value to solve for y

y = -(13/14)(1)-1/14 = -1 Solution : {x,y} = {1,-1} Processing ends successfully

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3 years ago

Hello need help please with Divide rational and simplify

aliina [53]

Dividing fractions is the same as multiplying by its reciprocal so you can change the equation to this
$\frac{ - 14 + 7x}{4} \times \frac{4}{4 - 2x}$
And you can simplify by eliminating the fours and multiplying straight across
$\frac{ - 14 + 7x}{4 - 2x}$
You can pull out - 7 from the top and 2 from the bottom so you have this
$\frac{ - 7(2 - x)}{2(2 - x)}$
And then you can cancel out to (2-x) to get an answer of
$\frac{ - 7}{2}$

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2 years ago

Write an equation in point-slope form of the line that passes through the given point and has the given slope. (12, 5); m = -3

givi [52]

Answer:

y - 5 = -3(x - 12)

Step-by-step explanation:

Point slope form is: y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.

Plug in the point and the slope:

y - y1 = m(x - x1)

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So, y - 5 = -3(x - 12) is the equation in point slope form of the line.

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