Answer:
AB = 10 and BC = 28
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, thus
AB = DC, that is
3y - 2 = y + 6 ( subtract y from both sides )
2y - 2 = 6 ( add 2 to both sides )
2y = 8 ( divide both sides by 2 )
y = 4
Hence AB = 3y - 2 = (3 × 4) - 2 = 12 - 2 = 10
And
AD = BC, that is
2x - 4 = x + 12 ( subtract x from both sides )
x - 4 = 12 ( add 4 to both sides )
x = 16
Hence BC = x + 12 = 16 + 12 = 28
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
Volume of a Pentagonal Pyramid 5/6 <span>abh
Given,
a = 3 m
b = 5 m
h = 8 m
Volume of a pentagonal pyramid
<span>= </span><span><span>5/6 </span></span><span> 3 m </span><span>×</span><span> 5 m </span><span>×</span><span> 8 m</span>
= 100 m</span>³<span>
</span>
Answer:
50
Step-by-step explanation:
Min = 35
Q1 = 45
Median = 50
Q3 = 65
Max = 85
The median is the middle of the distribution; 50% is below the median and 50% is above.
The median is 50, so about 50% of sales managers manage fewer than 50 accounts.
Answer:
it's x + 2 = 10 ,x - 4 = 4 , 3 x =24 and x over 8 = 1
Step-by-step explanation:
I guess that's the right answer