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3 years ago

If ab = 14 and cd = 14 then ab=cd

Mathematics

2 answers:

gogolik [260]3 years ago

8 0

Yes because is we replace both numbers it would end as...
ab=cd
14=14

Tomtit [17]3 years ago

7 0

Basically when ab=cd they both would equal out towards 14=14 which then result into both of them equaling out towards each other.
but if this isnt what you wanted let me know.

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Find the value of x in the parallelogram.

yuradex [85]

Answer:

Step-by-step explanation:

Since the two angles are on the same side of the parallelogram, they're supplementary.

x + (2x - 45) = 180

3x - 45 = 180

3x = 225

x = 75

6 0

3 years ago

Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a

Sladkaya [172]

Answer:

Part A: The length of each side is $3x-2$ units long.

Part B: The dimensions are 5x-4 and 5x+4 units long.

Step-by-step explanation:

Part A:

--> $9x^2-12x+4$

--> Multiply 9 times 4 to see the factors of that product

--> 9 times4 = 36

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Use the factor 6 and make it negative so -6

add another -6

Keep in mind that it is -6x

--> 9x^2-6x-6x+4

Separate the four terms into two different binomials

--> 9x^2-6x and -6x+4

Factor the binomials

With 9x^2-6x you can factor a 3x

So it will 3x(3x-2)

Do the same thing with -6x+4

You can factor out a -2

-2(3x-2)

The reason you factor out a -2 and not 2 is because it has to be same so in this case it is (3x-2)

Take the two numbers that you factored and put them to make an expression so (3x-2)

--> (3x-2)(3x-2) or (3x-2)^2

3x-2 is the length of each side so it is 3x-2 units long

Part B:

-->25x^2-16y^2

Use the difference of squares

take the square root of 25x^2

that is 5x

take the square root of 16y^2

that is 4y

write it in this way (5x+4y)(5x-4y)

These are the dimensions of the rectangle

3 0

2 years ago

Christine buys 7 hamburgers and 3 sodas for $27.95. Laura buys 5 hamburgers and 4 sodas for $23.40. How much does a hamburger co

Naddika [18.5K]

7h+3s=27.95 subtract 7h from both sides

3s=27.95-7h divide both sides by 3

s=(27.95-7h)/3

Then we are told:

5h+4s=23.4, using s found above makes this equation become:

5h+4(27.95-7h)/3=23.4 multiply both sides by 3

15h+4(27.95-7h=70.2 perform indicated multiplication on left side

15h+111.8-28h=70.2 combine like terms on left side

-13h+111.8=70.2 subtract 111.8 from both sides

-13h=-41.6 divide both sides by -13

h=$3.20

5 0

2 years ago

The population Of a town in Utah in 1997 was 6000. After two years the population of the town was 145% of the 1997 population. W

zalisa [80]

Answer:

c 8700

Step-by-step explanation:

7 0

2 years ago

A painting is on sale at 50% off. The sale price is $320. What was the original price? I understand that you can do 320 x 2, how

zhannawk [14.2K]

Answer:

(320 ÷ 50) × 100

Step-by-step explanation:

if you divide 320 by 50, you get what a single percent of the original price would be. So to get the original price, you just need 100 of the singular percentages, which you can get by taking a singular percentage (320 ÷ 50) and multipoint it by 100

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3 years ago