All categories

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.

You might be interested in

A marketing research company needs to estimate the average total compensation of CEOs in the service industry. Data were randoml

mezya [45]

SOLUTION:

Step 1 :

In this question, we are told that a marketing research company needs to estimate the average total compensation of CEOs in the service industry.

We also have that: Data were randomly collected from 38 CEOs and the 98% confidence interval was calculated to be ($2,181,260, $5,836,180).

Then, we are asked to find the margin error for the confidence interval.

Step 2:

We need to recall that:

$\text{Higher Confidence Interval, CI}_{H\text{ = }}X\text{ + }\frac{Z\sigma}{\sqrt[]{n}}$ $\text{Lower Confidence Interval , CI}_{L\text{ }}=\text{ X - }\frac{Z\sigma}{\sqrt[]{n}}$

It means that:

$\vec{}X\text{ = }\frac{CI_{H\text{ }}+CI_L}{2}$ $\text{Margin of error, }\frac{Z\sigma}{\sqrt[]{n}\text{ }}\text{ = }\frac{CI_{H\text{ - }}CI_L}{2}$

where,

$CI_H\text{ = }$$5,836,180$\text{ }$$$$ $CI_{L\text{ }}=\text{ }2,181,260$

putting the values into the equation for the margin of error, we have that:

$\text{Margin of error,}\frac{Z\sigma}{\sqrt[]{n}\text{ }}\text{ = }\frac{5,836,180\text{ - }2,181,260\text{ }}{2}$ $\begin{gathered} =\text{ }\frac{3654920}{2} \\ =1,\text{ 827, 460} \end{gathered}$

CONCLUSION:

The margin error for the confidence interval is 1, 827, 460

5 0

8 months ago

(-2,3) and (-4,3) what is the units

zzz [600]

I think you mean what's the name of it,
they are called ordered points.

6 0

3 years ago

Describe the pattern below. Then find the next three numbers. 3.5, 13, 41.5, 127, ___, ___, ___

In-s [12.5K]

Yo it is easy 99 33 44 66 89

8 0

2 years ago

Read 2 more answers

Johanna is planting tomatoes in the school garden this year. Tomato plants come in packs of six She needs 80 plants in the garde

vazorg [7]

452 because you will multiply 80 by 6 and get 480 and subtract 28 from that!

7 0

2 years ago

What is the exact value of sin -840

dsp73

First subtract 2 revolutions from the - 840 :- (- (840-720) = -120

This gives sin -120 which is in the 3rd quadrant of the unit circle

sin -120 = - sin 60 = - sqrt3/2

7 0

3 years ago