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klasskru [66]
2 years ago
13

the rectangle shown has a perimeter of 56 cm and the given area. it's length is 8 more than three times it's width. write and so

lve a system of equations to find the dimensions of the rectangle.​

Mathematics
1 answer:
stiv31 [10]2 years ago
4 0

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~

Now, Perimeter of rectangle is :

\qquad \sf  \dashrightarrow \:2(l + w)  = 56

\qquad \sf  \dashrightarrow \:2(3x + 8 + x)  = 56

\qquad \sf  \dashrightarrow \:2(4x + 8)  = 56

\qquad \sf  \dashrightarrow \:4x + 8  = 56 \div 2

\qquad \sf  \dashrightarrow \:4x + 8  = 28

\qquad \sf  \dashrightarrow \:4x  = 28 - 8

\qquad \sf  \dashrightarrow \:x = 20\div 4

\qquad \sf  \dashrightarrow \:x =5 \: cm

Hence, width = x = 5 cm

\qquad \sf  \dashrightarrow \:l = 3w + 8

\qquad \sf  \dashrightarrow \:l = 3(5)+ 8

\qquad \sf  \dashrightarrow \:l = 15+ 8

\qquad \sf  \dashrightarrow \:l =23 \:cm

And, length = 26 cm

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kotykmax [81]

9514 1404 393

Answer:

  x = 14°

Step-by-step explanation:

The triangle's interior angle at C is the supplement of the exterior angle marked 124°.

  C = 180° -124° = 56°

The exterior angle at B is the sum of the remote interior angles:

  6x = 56° +2x

  4x = 56° . . . . . . subtract 2x

  x = 14° . . . . . . . . divide by 4

6 0
2 years ago
Y = f(x) = -1<br> Find f(x) v/hen x = 3.
-Dominant- [34]

Answer:

f(x) is equal to -1 when x=3

Step-by-step explanation:

we have

y=f(x)=-1

This is a constant function

we know that

A <u>constant function</u> is a function whose output value is the same for every input value

therefore

when x=3 (input value)

The value of the function is y=-1 (output value)

6 0
2 years ago
A new price of an item is $39.32. The percent increase was 16%. What was the original price?
Fiesta28 [93]

Answer:

let x =the original price

then 116x/100=$39.32

116x=100×39.32

116x=3932

divide both sides by 116

116x/116=3932/116

x=33.89655

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4 0
2 years ago
What do I write????!??!!????????!!!!!
riadik2000 [5.3K]
1. Do they match? No
How do you know? When substituted y = 3(2) - 4 is 2
y = 3(4) - 4 is 8
y = 3(8) - 4 is 20 not 14. So the table isn’t fully correct.

2. Do they match? No
How do you know? Because it says she walks UP the stairs not down. So -2 doesn’t make sense.

3. Do they match? Yes
How do you know? 0 means that the pile didn’t start with 6 so when you add 3 to 0, it’s 3. (duh lol)

On day 1, it starts with 6, (1)(6) = 6, and then they added 3 rocks, so it’s 9.

Day 2, twice as many rocks, so it starts with 12 now. + 3 is 15.

Day 3 starts with 18 rocks now. + 3 is 21.

7 0
2 years ago
Read 2 more answers
What product have the same sign as ( -2 3/7 ) (-6/11) ?
motikmotik

Answer:

1. -7/8

2.-9/14

3. 9/14

4. 7/8

2. what is the product of -2/7 and -3/7?

1. -7/8

2.-6/49

3. 6/49

4. 7/8

How do the expressions 72÷ 9 and -72÷ (-9) compare when they are evaluated?

1. They have different values and are different signs.

2. They have different values but are the same sign.

3. They have the same value but are different signs.

4. They have the same value and the same sign.

Step-by-step explanation:

Multiplying fractions: multiply numerators and multiply denominators

1. 3/4 X -6/7 = -18/28 = -9/14

2. -2/7 X -3/7 = 6/49

3. 4 because 72/9 is 8.  -72/-9 is 8.  Two negatives makes a positive when multiplying and dividing.

7 0
3 years ago
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