Three sides of a quadrilateral measure 2.5 centimeters, 1.8 centimeters, and 9 centimeters. If the perimeter of the quadrilateral is 20.9 centimeters, what is the length of the fourth side? 34.2 cm 15.7 cm 7.6 cm 7 cm

QUESTION POSTED AT 18/01/2020 - 07:13 AM

Answered by admin AT 18/01/2020 - 07:13 AM

Answer:

Option (c) 7.6 cm is the correct answer

Step-by-step explanation:

Three sides of a quadrilateral measure 2.5 cm, 1.8 cm, and 9 cm.

Perimeter of the quadrilateral  is 29.9 cm

Then we have to find the length of 4th side.

Since perimeter of any quadrilateral = sum of all four sides

so by using this formula

20.9 = 13.3 + x

x = 20.9 - 13.3

x = 7.6 cm

Option (c) 7.6 cm is the correct answer

Post your answer

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1 inch equals 2.54 centimeters. Can you work out from here ?

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QUESTION POSTED AT 20/02/2020 - 11:22 PM

Find the nth term of this sequence -2 3 8 13 18

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QUESTION POSTED AT 20/02/2020 - 11:14 PM

Jack is buying tables and chairs for his deck party tables cost $25 and chair cost $15 he plans to spend no more than $285 and buy at least 16 items show and describe the solution set nad suggest a reasonable solution solution to the problem?

By the given scenario above, we can formulate two inequalities that best represent the scenario. We let x and y be the number of tables and chairs, respectively such that,
                                 25x + 15y ≤ 285
                                  x + y ≥ 16
The values of x and y if we temporarily change all the inequality signs to equal signs are 4.5 and 11.5, respectively. Since, it is not allowed for a number of item to be in negative, we can then say that the number of tables should be 4 and that of chair is 12. 

ANSWERED AT 20/02/2020 - 11:09 PM


QUESTION POSTED AT 20/02/2020 - 11:09 PM

An 18 ounce box of cereal cost 2.76. How many ounces should a box priced at 2.07 contain

Amount/price=18/2.76
18/2.76=x/2.07
times both sides by 2.76*2.07 aka cross multiply
18*2.07=2.76x
37.26=2.76x
divide both sides by 2.76
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costs $13.5

ANSWERED AT 20/02/2020 - 11:07 PM


QUESTION POSTED AT 20/02/2020 - 11:07 PM

A worm moves forward 3/8 of an inch every five minutes for one hour 25 minutes. how far does the worm move in this time

1 hour and 25 minutes ~ 75 minutes. Divide: 75 / 5 = 15.
Multiply the numerator by 15. 15 x 3 = 45.
Now divide the denominator: 45/8 = 5 and a remainder of 5.

The answer is 5 5/8 inches.

ANSWERED AT 20/02/2020 - 11:01 PM


QUESTION POSTED AT 20/02/2020 - 11:01 PM

Five less than one fourth of my age is 12

X/4 -5=12
X/4=17
X=17*4
X=68
Mr. Enigma is 68 years old

ANSWERED AT 20/02/2020 - 10:53 PM


QUESTION POSTED AT 20/02/2020 - 10:53 PM

Five less than one fourth of my age is 12

1/4x-5=12
1/4x=17
x=68

ANSWERED AT 20/02/2020 - 10:53 PM


QUESTION POSTED AT 20/02/2020 - 10:53 PM

What is the answer to a-2k-25

A-2k=25

add 2k to both sides 

so the answer is a=2k+25


ANSWERED AT 20/02/2020 - 10:52 PM


QUESTION POSTED AT 20/02/2020 - 10:52 PM

Use graph paper and a straightedge to draw the figure. The set of points (–1, 2), (5, 2), (5, –4), and (–1, –4) identifies the vertices of a quadrilateral

Answer with explanation:

The four vertices of a two dimensional geometrical shape are set of points A(–1, 2), B(5, 2),C (5, –4), and D(–1, –4).

Now plotting it on X Y plane

Point of intersection of Diagonals that is AC and B D given by the formula

   {\text{Mid point of AC}}=[\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}]\\\\=[\frac{-1+5}{2},\frac{-4+2}{2}]\\\\=(2,-1)\\\\{\text{Mid point of BD}}=[\frac{5-1}{2},\frac{2-4}{2}]=(2,-1)

Distance formula between two points in two dimensional plane

 =\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

AB=\sqrt{(5+1)^2+(2-2)^2}=6\\\\BC=6\\\\CD=6, \\\\DA=6

So, the Quadrilateral is Rhombus,because all sides are equal.

Slope of line between two points is given by

=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

 Slope of AB

                  =\frac{2-2}{5+1}=\frac{0}{6}

Slope of BC

     =\frac{-4-2}{5-5}=\frac{-6}{0}

Product of slopes = -1

Hence ∠ABC=90°

If in a rhombus one angle measures 90°,then it a Square.

So, Above Quadrilateral with given vertices is a Square.

ANSWERED AT 20/02/2020 - 10:46 PM


QUESTION POSTED AT 20/02/2020 - 10:46 PM

Two sides of a triangle measure 5 in. and 12 in. Which could be the length of the third side? 3 in. 6 in. 10 in. 18 in.

Answer:

The possible answer is 10 in.

Step-by-step explanation:

Two sides of a triangle measure 5 in. and 12 in.

If three side of triangle are a, b and c then sum of two side is always greater than third side.

Sum of two side greater than third side.  

a+b>c

a+c>b

b+c>a

Difference of two side is less than third side.

a-b<c

b-c<a

a-c<b

Here, we are given two sides of a triangle 5 in and 12 in.

Possible length of third side be

12-5 < c < 12+5

7<c<17

Third side must be lie between 7 to 17.

According to option, Third side must be equal to 10 in.

Hence, The possible answer is 10 in.

ANSWERED AT 20/02/2020 - 10:45 PM


QUESTION POSTED AT 20/02/2020 - 10:45 PM

How are inderect measurements useful

Indirect measurements are useful when it is not possible to measure the object. For some reason. Scientists use indirect measurements when the measure the, temperature of a flame my measuring the wavelength of the light being given off

ANSWERED AT 20/02/2020 - 10:42 PM


QUESTION POSTED AT 20/02/2020 - 10:42 PM

Nine square tiles are laid out on a table so that they make a solid pattern. perimeters of the fiques that you can be formed?

Let the side of one square be x.
The maximum perimeter will be when the squares will be lined end to end.
This will be:
x + 9x + 9x + x
= 20x

The perimeter of the figures formed will be less than or equal to 20x.

ANSWERED AT 20/02/2020 - 10:41 PM


QUESTION POSTED AT 20/02/2020 - 10:41 PM

Can all quadrilaterals be inscribed in a circle? Explain

Depends of the size of the quadrilateral in relation to the circle, but otherwise, yes

ANSWERED AT 20/02/2020 - 10:41 PM


QUESTION POSTED AT 20/02/2020 - 10:41 PM

A square photograph has a perimeter of 20 inches. What is the area of the photograph?

Answer:

Area of square is 25 inches²

Step-by-step explanation:

Given : A square photograph has a perimeter of 20 inches.

We have to find the area of the photograph.

We know perimeter of square is 4a , where a is side of square

Given : perimeter of square = 20 inches

4a = 20

Divide both side by 4, we get,

a = 5 inches

Also, Area of square = side × side

Area of square = 5 × 5

Area of square = 25 inches²

Thus, area of square is 25 inches²

ANSWERED AT 20/02/2020 - 10:38 PM


QUESTION POSTED AT 20/02/2020 - 10:38 PM

A bookstore paid $25 for a garden book and sold it for $30. What percent was the markup

20% since 5 is 20% of 25$

ANSWERED AT 20/02/2020 - 10:37 PM


QUESTION POSTED AT 20/02/2020 - 10:37 PM

11 millions,8 ten-thousands, 12 hundreds, 10 tens,18 ones, 9 tenths and 14 hundredths. what number am i ?

11,081,319.04 is the number.

ANSWERED AT 20/02/2020 - 10:35 PM


QUESTION POSTED AT 20/02/2020 - 10:35 PM

An equilateral triangle has a perimeter of 48 centimeters. If the triangle is dilated by a factor of .75 ,what is the length of each side of the new triangle?

Length of triangle 48/3=16
75/100*16=12
length of new triangle=16+12=28

ANSWERED AT 20/02/2020 - 10:33 PM


QUESTION POSTED AT 20/02/2020 - 10:33 PM

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ANSWERED AT 20/02/2020 - 10:32 PM


QUESTION POSTED AT 20/02/2020 - 10:32 PM

Find the perimeter of the triangle shown ( need fast)

You just add all of the sides together

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ANSWERED AT 20/02/2020 - 10:31 PM


QUESTION POSTED AT 20/02/2020 - 10:31 PM

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11,081,319.04  That is the answer

ANSWERED AT 20/02/2020 - 10:31 PM


QUESTION POSTED AT 20/02/2020 - 10:31 PM

The length of a car is 1/20of the length of the actual car. If the model is 9.3in. long, how long is the actual car?

9.3 x 20 = 186 inches. 12 inches = 1 foot

186 / 12 = 15.5

The actual car is 186 inches, or 15 1/2 feet long.

ANSWERED AT 20/02/2020 - 10:29 PM


QUESTION POSTED AT 20/02/2020 - 10:29 PM

Two sides of a triangle are 5cm and 7cm what is the third side

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ANSWERED AT 20/02/2020 - 10:29 PM


QUESTION POSTED AT 20/02/2020 - 10:29 PM

0ne sixth of the dairy cattle on a farm are in the barn. One fourth of the beef cattle are in the barn. There are 12 dairy cattle and 16 beef Cattle in the barn. How many more dairy cattle are on the farm than beef cattle

Total dairy cattle on farm = 12 x 6
Total dairy cattle on farm = 72

Total beef cattle on farm = 4 x 16
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Difference = 72 - 64
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ANSWERED AT 20/02/2020 - 10:27 PM


QUESTION POSTED AT 20/02/2020 - 10:27 PM

The length of a model car is 1/20 of the length of the actual car. If the model is 8.7 in. long, how long is the actual car?

1/20 is equl to 5% so... 8.7 / 5% =?  or    8.7 / 0.05 = ?

the answer is............ 174 in.

ANSWERED AT 20/02/2020 - 10:26 PM


QUESTION POSTED AT 20/02/2020 - 10:26 PM

An angle measures 12 degrees less than three times it's supplement. Find the measure of the angle.

First, please look up "supplementary angles."  Two supplementary angles add up to ... what?

Represent the angles algebraically.  Let the smaller angle be x and the larger angle by y.

How would you express "12 degrees less than three times its supplement?"

ANSWERED AT 20/02/2020 - 10:25 PM


QUESTION POSTED AT 20/02/2020 - 10:25 PM

If triangle ABC has A=52, side a=200, and side b= 234, then which of the following is true?

Please provide more information or a picture.

ANSWERED AT 20/02/2020 - 10:25 PM


QUESTION POSTED AT 20/02/2020 - 10:25 PM