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Llana [10]
3 years ago
13

a quadrilateral has exactly 3 congruent sides davis claims that the figure must be a rectangle why is his claim incorrect explai

n how you can use a digram to explain your answer
Mathematics
1 answer:
vlada-n [284]3 years ago
8 0
Davis's claim was incorrect because a rectangle sometimes only have 2 congruent sides. Drawing a rectangle, the length/width would be longer than their length/width. Unless it is a square, it counts as correct as a square can be counted as a rectangle and a rectangle can not be counted as a square but anyways, congruent means equal sides. The rectangle, mostly drawn, only has two long sizes and two short sides, both opposides are equal. Hence, the claim Davis said is incorrect.
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Which term is a perfect square of the root 3x4?
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Answer:

85

Step-by-step explanation:

because eight plus five is 85

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Step-by-step explanation:

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Please help im desperate here :/
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1.) If the perimeters of the triangle and the rectangle are the same, then this means

2(3x - 3) + 2(x - 3) = 2(2x - 1) + 2x

First distribute:

2(3x - 3) = 6x - 6

2(x - 3) = 2x - 6

Let's look at the bolded coefficients:

6x - 6 + 2x - 6 = 4x - 2 + 2x

= 8x - 6 - 6 = 6x - 2

Isolate the variables:

8x - 6x = -12 - 2

2x = 10, so x = 5

Plug in the variables:

Rectangle: 2(3(5) - 3) + 2(5 - 3)

= 2(15 - 6) + 2(2)

= 24 + 4 = 28 feet

Triangle: 2(2(5)-1) + 2(5)

= 2(9) + 10 = 18 + 10 = 28 feet

Claire purchased 28 feet of fencing.

2.) Celia: 1200 calories a day, increases by 100 each day, so 1200 + 100d.

Ryan: 3230 calories per day, decreases it by 190 each day, so 3230 - 190d.

For the variables to equal the same amount:

1200 + 100d = 3230 - 190d

Let's isolate the variables:

1200 - 3230 = -190d - 100d, since there is no such thing as negative 290 days,

290d = 2030

d = \frac{2030}{190}, so d = seven days.

Plug in variable:

Celia: 1200 + 100(7) = 1900 calories

Ryan: 3230 - 190(7) = 1900 calories.

In seven days, they will both be consuming 1900 calories.

3.) 800 + 16h = 720 + 21h

Isolate the variable:

800 - 720 = -16h + 21h

80 = 5h, which means 16 hours.

4.) 2500 + 150m = 3000 + 125m

Isolate the variable:

3000 - 2500 = 150m - 125m

500 = 25m

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5.) 200 + 45m = 50 + 55m

200 - 50 = 55m - 45m

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6.) 200 + 45(15) = 200 + 675 = $875

7.) 200 + 45m = 20 + 60m

= 200 - 20 = 60m - 45m

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\frac{180}{15} = 12, so it will take 12 months.

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