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3 years ago

The perimeter of parallelogram ABCD is 46 inches. What is DA?

Mathematics

2 answers:

nadezda [96]3 years ago

4 0

First we have 8x -5=3x+10, so x =3.
Hence AB =CD =19.
So 38+DA +BC =46, but DA =BC,
38+2DA=46, then 2DA =8,
DA =4.

Sauron [17]3 years ago

3 0

Answer: he correct option is B and the length of DA is 46 inches.

Explanation:

It is given that ABCD is a parallelogram with perimeter 46 inches.

Let the length of DA be x.

According to the property of parallelogram the length of opposite sides are equal.

The sides AB and DC are opposite sides. So,

$AB=DC$

$8x-5=3x+10$

$5x=15$

$x=5$

The value of x is 5. Therefore the length of AB is,

$AB=8x-5=8(3)-5=19$

The sides AD and BC are opposite sides, the length of AD and BC are equal.

Perimeter of a parallelogram is the sum of all side lengths.

$perimeter=AB+BC+CD+DA$

$46=2(AB)+2(AD)$

$46=2(19)+2(AD)$

$8=2(AD)$

$4=AD$

Therefore the value of AD is 4 inches and the correct option is B.

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2 years ago

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jeyben [28]

Step-by-step explanation:

☄ $\underline{ \underline{ \text{Question }}}:$ The ratio of new houses to antique houses in a village is 4 : 5 . If there are 12 new houses , how many antique houses are there ?

☄ $\underline{ \underline{ \text{Solution}}} :$

✏ Let , the number of antique houses in a village be ' x ' .

Then , According to the question :

$\sf{ \frac{Number \: of \: new \: houses}{Number \: of \: antique \: houses} \: = \: \frac{4}{5}}$

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So, The number of antique houses in a village is 15.

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{15}}}}}}$

Hope I helped ! ♡

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2 years ago

Write the equation of the line in

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Step-by-step explanation:

hello :

note 1 :

the point-slope formula is :

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note 2 :

the slope is : m = (y_2 - y_1)/(x_2 -x_1) when given two points :

A(x_1 , y_1 ) and B(x_2 , y_2 )

in this exercice : x_1 =0 y_1 =3 x_2 =1 y_2 =1

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3 years ago

What is the logarithmic form of the solution to 102t = 9?

Harman [31]

Equivalent equations are equations that have the same value

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<h3>How to rewrite the equation</h3>

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Apply the power rule of logarithm

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Apply change of base rule

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Divide both sides by 2

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Rewrite as:

$t = \frac{\log(9)}{2}$

Hence, the equation in logarithmic form is $t = \frac{\log(9)}{2}$