Answer:
One leg - 15 inches
Second leg - 36 inches.
Step-by-step explanation:
One leg - x inches.
Second leg - (x + 21) inches.
Hypotenuse - 39 inches.
Using Pythagorean theorem
x² + (x + 21)² = 39²
x² + x² + 2*21x + 21² = 39²
2x² + 42x - 39² + 21² = 0
2x² + 42x - 1080 = 0
x² + 21x - 540 = 0
(x - 15)(x + 36) = 0
x = 15, x = - 36
We can use only positive value.
One leg - x inches = 15 inches
Second leg - (x + 21) inches = 15+21=36 inches.
Answer:
x=24
Step-by-step explanation:
Since line A and B are parallel, 3x+7 is equivalent to Angle 6 as they are corresponding angles.
We also know that 4x+5+Angle 6 = 180 as they are a linear pair. We can use substitution and substitute 3x+7 for Angle 6...
4x+5+3x+7=180
7x+12=180
7x=168
x=24
To solve this problem, you can make a proportion:
3/900 = x/2100
In this case, the x represents the pounds that will be needed to cover 2,100 feet.
The first step is to cross multiply like this:
3 * 2100 = 900 * x
Now you can simply the equation.
6300 = 900x
Now you divide both sides by 900 to cancel it out.
7 = x
So, your answer is 7 pounds.
If the turn out of an event is to take place or not to take place only then, the sum of the probability of it taking place and not taking place is 1. If we represent the probability of it taking place by x then, the probability of it not taking place is equal to 1 - x.
The formula for cosine is adj/hyp. For angle B, 10 is the adjacent and 24 is the opposite. The hypotenuse ( in this case, 26) is the longest side. the ratio for angle b would be 10/26.
