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4 years ago

Find side AB 14()24()33()40()

Mathematics

1 answer:

Ahat [919]4 years ago

6 0

Answer:

$AB=DC=32\ units$

$AD=BC=24\ units$

Step-by-step explanation:

we know that

In a parallelogram, opposite sides are parallel and congruent

In this problem we have a parallelogram

$DC=AB$

$AD=BC$

substitute the given values

$5x-18=2x+12$

$5x-2x=12+18$

$3x=30$

$x=10$

<em>Find the length of side AB</em>

$AB=2x+12$

substitute the value of x

$AB=2(10)+12=32\ units$

<em>Find the length of side CB</em>

$BC=3x-6$

substitute the value of x

$BC=3(10)-6=24\ units$

therefore

$AB=DC=32\ units$

$AD=BC=24\ units$

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Amanda [17]

Answer:

There are 5040 different anagrams of FLORIDA.

Step-by-step explanation:

We are given the following in the question:

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Letters are:

F, L, O, R, I, D, and A

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Thus, the number of anagrams are given by n!, where n are the number of letters in the word.

Number of anagrams =

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Thus, there are 5040 different anagrams of FLORIDA.

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3 years ago

Four less than the product of seven and a<br> number is seventeen. What is the number?

NARA [144]

<h3>hello!</h3>

=============================================

First of all, let the number be u.

The product of 7 and u means you should multiply 7 times u:

$\pmb{7u}$

Now, subtract 4:

$\pmb{7u-4}$

This expression equals 17:

$\pmb{7u-4=17}$

$\rule{200}{2}$

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First, add 4 to both sides:

$\pmb{7u=21}$

Now, divide both sides by 7:

$\pmb{u=3}$

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<h3>notes:-</h3>

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3 years ago

HELP PLEASE! What’s the domain and range?

NeX [460]

Answer:

Domain → (-∞, -1)∪(-1, ∞)

Range → (-∞, ∞)

Step-by-step explanation:

Given function is,

$\frac{f(x)}{g(x)}=\frac{x^2+2x-5}{2x+2}$

This function is not defined when the denominator is zero.

2x + 2 = 0

2x = -2

x = -1

Therefore, x = -1 is not in the domain of this function.

And the domain will be,

(-∞, -1)∪(-1, ∞)

For all values of x (except x = -1) we get some output values (value of $\frac{f(x)}{g(x)}$ ).

Therefore, range of the function will be (-∞, ∞).

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3 years ago

If f(x)= <br><img src="https://tex.z-dn.net/?f=x%20-%20%7Bx%7D%5E%7B2%7D%20" id="TexFormula1" title="x - {x}^{2} " alt="x - {x}^

astra-53 [7]

Answer:

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Step-by-step explanation:

1. f(2+h)=(2+h)-(2+h)^2=2+h-4-4h-h^2=-h^2-3h-2=-(h^2+3h+2)

=-(h+2/3)^2+1/4

2. Let (x+h)=a, then rewrite the equation into f(a)=a-a^2.

a-a^2=-(a^2-a)=-[(a-1/2)^2-1/4]=-(a-1/2)^2+1/4.

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3 years ago

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natita [175]

Answer:

1.62m^2

Step-by-step explanation:

From the problem statement, the scale of the drawing is

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to meters =900/100= 0.9m

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Now we can calculate the actual area in meters we have

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4 years ago

Find side AB 14()24()33()40()​

Find side AB 14()24()33()40()