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lora16 [44]
3 years ago
11

Question 1 (1 point)

Mathematics
1 answer:
schepotkina [342]3 years ago
8 0

Answer:

a is the perimeter which is given as 820 mm.

Step-by-step explanation:

Perimeter, P = 820 mm

Length is 100 m less than twice of width

let the length is x and the width is y.

So,

x = 2 y - 100

P = 2 (x + y)

820 = 2 (2y - 100 + y)

410 = 3 y - 100

3 y = 510

y = 170 mm

x = 2 x 170 - 100 = 240 mm

The equation is

2 x = 2 y = a

where, a is the perimeter which is given as 820 mm.

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Which statements are always true for a rectangle?
LekaFEV [45]

Answer:

True☆The diagonals are congruent.

Not always X All sides are congruent. (Only for rectangles that are also rhombus = a square!)

Not always X The diagonals of a rectangle are perpendicular to each other. (Counterexample: draw a really long rectangle with a tiny, tiny width...the x made by the diagonals is clearly not perpendicular!)

True☆ The opposite sides are parallel. (Bc rectangles are parallelograms, part of the definition)

True☆All angles are congruent. (All four angles are right angles--part of the definition)

5 0
2 years ago
Please help.<br> Algebra.
Vitek1552 [10]

Answer:

A) SUBTRACT 3x by both sides of the bottom equation.

8 0
3 years ago
PLEASE HELP ASAP!!!<br> solve for the given variable and show your work. 3a-12b=30. solve for b.
olganol [36]

Answer:

b=(-10-a)/4

First factor out the common number:3

Then divide both sides by 3

Then simplify 30/3 to 10

Then subtract a to get your answer

5 0
3 years ago
Mrs. Lazo bought 9 1/8m. Of curtain cloth. She use 3 5/6m to make a curtain for their bedroom how many meters of cloth were not
sergeinik [125]

Answer:

5 7/24

Step-by-step explanation:

First, you need to make the denominators the same. When you multiply 6 with 4 you get 24, and if you multiply 8 with 3 you get 24. Then you have to multiply the numbers you multiplied with the denominators with the numerator. So, 5 x 4 is 20 and 3 x 1 is 3. Once you put all the numbers together it should look like this: 3 20/24 and 9 3/24. In order to find the answer, you have to subtract the numbers from each other. Which would look like this: 9 3/24 - 3 20/24. But as you can see you can't subtract 3 from 20. So you have to carry the 9. This means you have to subtract 9 from 1, and then you have 27 for the numerator, this then makes it possible to subtract from 20. So then the fractions subtracted from each other is 7 and the whole numbers subtracted from each other is 5 (because the 9 is now 8 since we subtracted one from it). Whole numbers subtracted from each other: 5. Fractions subtracted from each other: 7/24. Add it together you get 5 7/24.  

Numerator - the number above the fraction, ex 3 in 3/4

Denominator - the number below the fraction, ex 4 in 3/4

5 0
3 years ago
What is the solution to the equation
Elis [28]

Answer:

x = -13

Step-by-step explanation:

Distribute:

8 - 6x + 10x - 15 = 20 - 5x

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Isolate Variable

-x = 13

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x = -13

8 0
3 years ago
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