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Alik [6]
3 years ago
8

AD = 3x + 4 and CD = x + 6, what is the value of x?

Mathematics
1 answer:
lesantik [10]3 years ago
5 0
Your answer would be x = 1.

The rules for a kite shape is that two pairs are of equal length, which means we can say that AD = CD and thus form an equation:

3x + 4 = x + 6
- x
2x + 4 = 6
- 4
2x = 2
÷ 2
x = 1

I hope this helps!
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4vir4ik [10]
The radius of the new sphere is 9


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4 0
3 years ago
A student measured the dimensions of a table and recorded the length as 103.50cm and the width as 73.75cm. according to the stud
PolarNik [594]
The table is usually the shape of a rectangle. The area is equal to the length times the width. To make sure, let's recalculate the solution.

Area = length × width
Area = 103.50 cm × 73.75 cm
Area = <span>7,633.125 cm</span>²

So, we established that the answer is correct. Now, I'll introduce the concept of significant figures. There are rules regarding significant figures to be applied conventionally in measurements and calculations. This is to increase precision of the data. Significant figures are digits that carry meaning. When you are given data with a specific number of significant figures, the final answer should also contain the same number of significant figures. In convention, the rule says that the zero's after non-zero digits after the decimal point are significant. Also, all non-zero digits are significant. The value 103.50 has 5 significant figures, and 73.75 has 4. When it comes to multiplication, the answer should contain the least significant figures. So, we should have 4 significant figures. Therefore, the final answer to be reported should be 7,633 cm².
8 0
3 years ago
I don’t know what to do
LuckyWell [14K]

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new points (-6.25,0),(6.25,0),(0,6.25)

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8 0
3 years ago
Write the equation in logarithmic form 3^3=27
vladimir2022 [97]

Taking logarithms, you get

3\log{(3)}=\log{(27)}\\\\3=\dfrac{\log{(27)}}{\log{(3)}}\\\\3=\log_{3}{(27)}

8 0
3 years ago
A and B are two points on square ABCD with coordinates A(1,3) and B(5,3). What are the lengths of the diagonals AC and BD? Round
lilavasa [31]

Answer:

AC = BD = 5.7

Step-by-step explanation:

Given

A = (1,3)

B = (5,3)

Required

The length of the diagonals

First, calculate the length of AB using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

So, we have:

AB = \sqrt{(1 - 5)^2 + (3 - 3)^2}

AB = \sqrt{(-4)^2 + 0^2}

AB = \sqrt{16}

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The diagonal of a square is calculated using:

Diagonal = x\sqrt{2

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So:

AC = BD = AB\sqrt{2}

AC = BD = 4\sqrt{2}

AC = BD = 5.7 -- approximated

7 0
3 years ago
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