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4 years ago

Given that ABCD is a rhombus, what is the value of x?

Mathematics

1 answer:

SashulF [63]4 years ago

3 0

Answer:

Step-by-step explanation:

A rhombus is divided into four congruent triangles. The two given angles are complementary, meaning they add up to 90 degrees. Set up an equation:

$(4x-25)+x=90$

$4x-25+x=90$ Take out the parentheses

$5x-25=90$ Combine like terms

$5x=115$ Add 25 to both sides so as to isolate the variable

$x=23$ Divide both sides by 5

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If you place a 45-foot ladder against the top of a 36-foot building, how many feet will the bottom of the ladder be from the bot

ad-work [718]

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4 years ago

What is cos(45°)?

Andrej [43]

Answer:

$\rm \dfrac{\sqrt2}{2}$

Step-by-step explanation:

A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,

$\rm\implies cos\theta =\dfrac{base}{hypotenuse}$

In the given triangle ,

Value of base = 1
Value of hypotenuse = √2

On substituting the respective values ,

$\rm\implies cos45^\circ =\dfrac{1}{\sqrt2}$

For rationalizing the denominator , multiply numerator and denominator by √2 , we have,

$\rm\implies cos45^\circ=\dfrac{1(\sqrt2)}{(\sqrt2)(\sqrt2)}$

Simplify ,

$\rm\implies \boxed{\pink{\frak{ cos45^\circ=\dfrac{\sqrt2}{2} }}}$

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3 years ago

What is the square root of -225

NemiM [27]

Answer:

15i

Step-by-step explanation:

since 15 x 15 is 225, the imaginary number comes into play here. i x i = -1, so 15i x 15i = -225

8 0

3 years ago

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The number sentence 4×6=6×4 is what property

scZoUnD [109]

This will be commutative property. with the help of the equation a+b=b+a

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4 years ago

What property do you use to get from 2(x+3)=6 to 2x+6=6?

Sedbober [7]

Answer:

Distribute Property

Step-by-step explanation:

2 ( x + 3 ) = 6

2x + 6 = 6

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3 years ago

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