Mathematics, 19.07.2019 10:30 chrisraptorofficial

The perimeter of rectangle mnpq is 80 in and the ratio mn : mq = 3: 5. find the area of mnpq

Answers: 1

Show answers

Answers

Answer from: coco8560

Let's write 3:5 = 3k:5k. Then using perimeter formula, we can write that P=(3k+5k)2=80

and k=5 cm. The sides are 15 cm and 25 cm. The area is $A=15*25=375 cm^{2}$

Answer from: salehabajwa101

The area of MNPQ is 375 square inches.

Step-by-step explanation:

It is given that the ratio MN : MQ = 3:5. It means the ratio of dimensions is 3:5.

Let the dimensions of the rectangle be 3x by 5x.

The perimeter of a rectangle is

P=2(length+width)

It is given that the perimeter of rectangle MNPQ is 80.

80=2(3x+5x)

80=2(8x)

80=16x

Divide both sides by 16.

5=x

The value of x is 5.

The dimensions of the rectangle are 15 and 25.

The area of rectangle is

$A=length\times breadth$

$A=15\times 25$

A=375

Therefore the area of MNPQ is 375 square inches.

Answer from: Quest

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

Another question on Mathematics

Mathematics, 21.06.2019 17:30

Select the sequences that are geometric.

Answers: 2

Answer

Mathematics, 21.06.2019 18:10

Points a, b, and c form a triangle. complete the statements to prove that the sum of the interior angles of triangle abc is 180

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

Someone answer asap for ! max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a. the median of max’s data is 250 b. more than half of the data points max recorded were 177 centimeters. c. a data point chosen at random is as likely to be above the mean as it is to be below the mean. d. every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Ijust need these 2 questions answered (the second pic is just confirmation i'm not confident in that answer)

Answers: 1

Answer

You know the right answer?

The perimeter of rectangle mnpq is 80 in and the ratio mn : mq = 3: 5. find the area of mnpq...

Questions