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vovangra [49]
4 years ago
13

The perimeter of a rectangle is 52. The length is 2 more than 2 times the width. Find the width and length.

Mathematics
1 answer:
Arlecino [84]4 years ago
4 0
Formula for the perimeter of a rectangle = 2(L + W).
let the width be x
length = 2 + 2x
substitute respectively
52 = 2(2 + 2x + x)
52 = 2 (2 + 3x)
52 = 4 + 6x
52 - 4 = 6x
48 = 6x
divide both sides by 6
48/6 = 6x/6
8 = x
width = 8
length = 2 + 2x = 2 + 2(8) = 2 + 16 = 18
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Mick paid 2.94 in sales tax on an item that costs 42 dollars before tax. At that rate how much would he pay in sales tax for an
djverab [1.8K]
Mick would pay $4.06 in sales tax for an item that costs $58.00.

This can be found by working backwards in the problem. By dividing that sales tax paid (2.94) by the dollars before tax (42), you get a percentage that should equal the percentage of the total paid for tax.

2.94 ÷ 42 = 0.07

This means that the sales tax is 7% of the total prior to tax. So we'd then multiply our dollars (58) with the sales tax in decimal form (0.07)

58.00 × 0.07 = 4.06

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4 0
4 years ago
Read 2 more answers
Please help!!
erastova [34]

Answer:

  180, 180, 148, 180, 148

Step-by-step explanation:

The two rules in play here are ...

  • the sum of interior angles of a triangle is 180°
  • the angles of a linear pair are supplementary (they total 180°)

__

The first of these rules answers the first two questions:

  • interior angles total 180°
  • angles 1, 3, 4 total 180°

We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.

  • angles 3 and 4 total 148°

The second rule answers the next question:

  • angles 1 and 2 total 180°

As before, subtracting the value of angle 1 from both sides of the equation gives ...

  • angle 2 must be 148°

_____

<em>Additional comment</em>

Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...

  X + 32° = 180°

  X +32° -32° = 180° -32° . . . . . . subtraction property of equality

  X = 148° . . . . . . . . simplify

In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.

7 0
3 years ago
Can you’ll help me pls , I really need help.
Olegator [25]

Answer:

-t + 4.5>7

Step-by-step explanation:

-18 = t

-t = 18

18+4.5 = 22.5

22.5>7

Boom

hope it helps :)

4 0
3 years ago
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if line T is perpendicular to both like L and line M, then angle 1 and angle 2 are both ___ angles. ?
german

Answer: Right angles

Step-by-step explanation:

6 0
4 years ago
Please Help me. What is the answer?
vekshin1

Answer:

-11

Step-by-step explanation:

Triangle ABC

SO,

AB = AC +BC

x + 8 = 2x -5 + (BD + DC)

x + 8 = 2x-5 + 10 +14

x + 8 = 2x + 19

2x - x = -19 + 8

x = -11

5 0
3 years ago
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