The answer is <span>b.12
</span>
According to the Pythagorean theorem the square of the hypotenuse (c) is the sum of the squares of the legs (a and b):
c² = a² + b²
We have:
a = 3x
b = 15
c = 3x + 3
Now, let's replace these parameters:
c² = a² + b²
(3x + 3)² = (3x)² + 15²
(3x)² + 2 * 3x * 3 + 3² = 9x² + 225
9x² + 18x + 9 = 9x² + 225
Rearrange:
9x² - 9x² + 18x = 225 - 9
18x = 216
x = 216 / 18 = 12
The given data is proportional because, we get 3.15 when Quantity y is divided by Quantity x, y/x = 3.15
Given,
The data;-
Quantity x; 2 , 6 , 9 , 5 , 1
Quantity y; 6.3, 18.9, 28.35, 15.75, 3.15
We have to find the proportionality between the data set given;-
Lets see the proportionality;-
Quantity y ÷ Quantity x
6.3 ÷ 2 = 3.15
18.9 ÷ 6 = 3.15
28.35 ÷ 9 = 3.15
15.75 ÷ 5 = 3.15
3.15 ÷ 1 = 3.15
Here,
The given data is proportional because, we get 3.15 when Quantity y is divided by Quantity x, y/x = 3.15
Learn more about proportionality here;
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Answer:
area of BMDN 8 ft²
Step-by-step explanation:
In BMDN the diagonals are BD and MN.
MN is 12/3 = 4 ft long, and BD = 4 ft.
A rhombus with equal diagonals is a square, so BMDN is a square.
In the right triangle BDN, the diagonal BD is the hypotenuse, then:
DN² + NB² = BD²
but DN = NB, then:
2*DN² = 16 ft²
DN² = 8 ft²
The area of BMDN is computed as one of its sides squared. Then, DN² is its area
<span>7x=-35
Divide 7 on both sides
Final Answer: x=-5</span>
The answer is: 24
6 slices each pie and there is 4 pies so multiply 6 by 4 and u get 24
