Answer:
The correct answer is last option 3√2 units
Step-by-step explanation:
From the figure we can see that two small right angled triangle.
These two triangle combined to form a large right angled triangle.
<u>To find the value of x</u>
Consider the small triangle with hypotenuse x and one side 3 units.
The angles of this triangle be 45°, 45° and 90°, then the sides are in the ratio 1 : 1 : √2
Therefore we can write,
3 : 3 : x = 1 : 1 : √2
x = 3√2
The correct answer is last option 3√2 units
An outside angle is equal to the sum of the two opposite inside angles.
Set up the equation to get:
6x = (x+40) + (3x+10)
Simplify the right side:
6x = 4x + 50
Subtract 4x from both sides:
2x = 50
Divide both sides by 2:
x = 50/2
x = 25
Now you have X you can solve for each angle:
6x = 6*25 = 150
(x+40) = 25 + 40 = 65
(3x +10) = 3(25) +10 = 75 + 10 = 85
Answer:
The area is 28.27cm²
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
If you use Pascal's Triangle, you will need 9 lines, since there are 9 terms in a binomial raised to the 8th power. Those 9 terms are:
1, 8, 28, 56, 70, 56, 28, 8, 1
The first expansion through the one we need are below (I hope you know how to use Pascal's Triangle!):
Answer:
10
Step-by-step explanation:
By Basic Proportionality Theorem:
