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2 years ago

The heights of two similar parallelograms are 16 inches and 20 inches. Their

Mathematics

1 answer:

Fittoniya [83]2 years ago

3 0

Answer: $x=\dfrac{25}{21}$

Step-by-step explanation:

Area of parallelogram = Base x height

If two parallelograms are similar, then their corresponding sides are proportional.

That means, $\dfrac{\text{Area of first parallleogram}}{\text{Area of second parallleogram}}=\dfrac{\text{height of first parallelogram}}{\text{height of second parallelogram}}$

$\Rightarrow \dfrac{3x+5}{9x}=\dfrac{16}{20}\Rightarrow \dfrac{3x+5}{9x}=\dfrac{4}{5}\\\\\Rightarrow 5(3x+5)=4(9x)\\\\\Rightarrow\ 15x+25 = 36x\\\\\Rightarrow\ 36x-15x=25\\\\\Rightarrow\ 21x = 25\\\\\Rightarrow\ x=\dfrac{25}{21}$

Hence, $x=\dfrac{25}{21}$

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Explain why a step in solving the equation 4n= -36 is to divide both sides by 4. Then solve the equation

hichkok12 [17]

The correct value of ''n'' in this equation will be -9

Step-by-step explanation:

In order to find the value of ''n'' in this equation of the first degree, just isolate ''n'', and divide the right side into the left side of the equation:

Resolution:

$\large \sf 4n= -36$

$\large \sf n= -36\div4$

$\large \sf n= \dfrac{-36}{4}$

$\boxed{\boxed{{\large \sf n=-9}}}$

So we can conclude that the value of ''n'' in this equation will be -9

8 0

2 years ago

Chose the equation for a line that passes through (2,-3) and has a slope of m=-4 in point slope form.

Sladkaya [172]

Answer:

y + 3 = - 4(x - 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 4 and (a, b) = (2, - 3), thus

y - (- 3) = - 4(x - 2), that is

y + 3 = - 4(x - 2)

6 0

3 years ago

Three data sets show the number of text messages sent by Jada, Diego, and Lin over the past 6 days as well as the mean number of

serious [3.7K]

Answer:

Jada: 1

Diego: 4/3

Lin: 10/3

Step-by-step explanation:

To find MAD, you calculate the mean of the data sets (which you were given in this case), and then find the distance of each number in the data set from the mean. You then write all the distances down, and then find the mean of THAT. Now you have your MAD.

Example (Jada)

Data set: 4,4,4,6,6,6

Mean: 5

Distances: 1,1,1,1,1,1

Mean of distances (and therefore the MAD):

(1+1+1+1+1+1) divided by 6 = 1

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2 years ago

I need help now!!!!

lozanna [386]

It is B i hope im right sorry if im wrong

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2 years ago

Simplify 25(14–27)+25÷16. a 28/5 b16/5 c 31/5 d 36/5

serg [7]

Answer:

-323.4375

Step-by-step explanation:

8 0

2 years ago