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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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Equation: -5 3/4- 3 1/2 Please help meh. ​
vampirchik [111]

Answer:

-9\frac{1}{4}

Step-by-step explanation:

-5\frac{3}{4}-3\frac{1}{2}

Step 1: Factor out the common term -1

=-\left(5\frac{3}{4}+3\frac{1}{2}\right)

Step 2: Add the whole numbers

5 + 3 = 8

Step 3: Combine the fractions:

\frac{3}{4}+\frac{1}{2} = \frac{5}{4}\\\\=-\left(8+\frac{5}{4}\right)

Step 4: Convert the improper fractions to mixed numbers

\frac{5}{4} = 1\frac{1}{4}\\\\=-\left(8+1\frac{1}{4}\right)

Step 5: Add the numbers

8 + 1 =9 \\\\=-9\frac{1}{4}

Therefore, the answer to the equation is -9\frac{1}{4} in fraction, and decimal; 9.25

4 0
3 years ago
432 tk. is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share wich is equal to
Flura [38]

Answer:

A got 243 tk

Step-by-step explanation:

Supose the amount C got was "x"

12 times B's share is 6 times C's share, that would be:

B = 6x

Also, 8 times A's share is 12 times B's share, that would be:

8A = 12B

8A = 12(6x)

8A = 72x

A = 72x/8

A = 9x

Now, we can say:

A = 9x

B = 6x

C = x

We know total is 432, thus we can write and solve for x first:

A + B + C = 432

9x + 6x + x = 432

16x = 432

x = 432/16

x = 27

A got "9x", so plugging in x = 27, we know:

A got 9*27 = 243 tk

7 0
4 years ago
Urgent help required with right triangle trig
mixas84 [53]

To find the area of a square with it's diagonal, there's actually a formula = (1/2)d², but here's how to do it if you don't have the formula:


The diagonal <em>c</em> separates the square into two of the same triangles. Therefore, we can apply Pythagorean Theorem


a²+b²=c² ← Since this is a square, a=b is a must

a²+a²=c² ← Combine like terms, and plug 26 in for c

2a²= 26² ← 26²=676, then divide 2 on both sides

a²= 676/2

a²=338 ← We can just stop here! Since <em>a </em>is a side of the square, therefore the area of a square = a²


Answer: 338 units²


6 0
3 years ago
The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas i
andre [41]
The answer is 12.8 cm³

<span>The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p):
v = k/p
p * v = k  (k - constant)

p1v1 = k
p2v2 = k
So, p1v1 = p2v2

v1 = 24 cm</span>³
p1 = 16 lb
v2 = ?
p2 = 30 lb

24 * 16 = x * 30
384 = x * 30
x = 384 / 30
x = 12.8 cm³
3 0
3 years ago
The second side of a triangular deck is 4 feet longer than the shortest side. The third side that is 4 feet shorter than twice t
Svetlanka [38]

The second side of a triangular deck is 4 feet longer than the shortest side

(s+4) = the 2nd side

and a third side that is 4 feet shorter than twice the length of the shortest side.

(2s-4) = the 3rd side

If the perimeter of the deck is 48 ​feet, what are the lengths of the three​ sides?

s + (s+4) + (2s-4) = 48

Combine like terms

s + s + 2s + 4 - 4 = 48

4s = 48

s = 48/4

s = 12 ft is the shortest side

I'll let you find the 2nd and 3rd sides, ensure they add up to 48

Hope this helps!

5 0
3 years ago
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