Answer:
Step-by-step explanation:
Exterior angle of a triangle is equal to the sum of opposite interior angles
13b - 48 = (9b - 47) + (b + 44)
Add the like terms
13b - 48 = 10b - 3
Add 48 to both the sides
13b - 48 +48 = 10b - 3 +48
13b = 10b + 45
Subtract 10b from both sides
13b - 10b = 10b + 45 - 10b
3b = 45
Divide both sides by 3
3b/3 = 45/3
b = 15
Answer:
The door has a width of 6.26 feet, with a height of 12.52 feet.
Step-by-step explanation:
You can solve this by taking two pieces of information we're given:
1) the diagonal size of the doorway is 14 feet
2) the height of the doorway twice its width
First lets describe the width and height using the diagonal length. We can do that with the Pythagorean theorem:
w² + h² = 14²
Now we can use the relationship between the width and height to eliminate one variable:
w² + (2w)² = 14²
w² + 4w² = 14²
5w² = 196
w² = 39.2
w ≈ 6.26
So the door has a width of 6.26 feet, with a height of double that, 12.52 feet.
Without using a calculator I would say the root is between 10 and 11
How I found the answer:
I know 10 * 10 = 100
I know 11 * 11 = 121
So the root of 100 = 10 and the root of 121 = 11 so that means the root of 108 is somewhere between 10 and 11, which the root of 108 = 10.3923
3 + 3 = 6
Good excuses to text someone cause your bored and have nothing better to do :)
