Answer:
x=90
Step-by-step explanation:
First, it would help to make it so that the x's are not next to fractions. To do this, you can multiply all terms in the equation by 45. 45 is the closest common factor of 9 and 5, the denominators of the fractions. The answer would be;
20x+9x=2610
Then solve.
29x=2610
x=90
Answer:
x = 11√2
Step-by-step explanation:
We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):
x * √2 = 22
We can divide by √2 on both sides to get:
x = 22 / √2
To rationalize the denominator, we multiply by √2 / √2 on the right side:
x = 22√2 / 2
This simplifies to:
x = 11√2
Answer:
See explanation below.
Step-by-step explanation:
First I'm going to find angle 2. Angle two plus 55 is equal to 115. 180-115=65. 65-55=10 Angle 2 = 10
Next, we can find angle 3. 55+10=65. 180-65=115. Angle 3 = 115
Angle 2 is equal to angle 5, angle 3 is equal to angle 6, and angle 4 is equal to 55.
Angle 5 = 10
Angle 4 = 55
Angle 6 = 115
Now we can find angle 8. 180-115=65. Angle 8 = 65
Angle 11 = 65
Angle 12 = 115
10+115=125 Angle 10 = 125
180-125 = 55 Angle 9 = 55
Angle 14 = 55
Angle 13 = 125
Answer:
B
Step-by-step explanation:
Initial mean = 156, Changed mean = 163.92
So, mean increases. Only condition that satisfies this is B.
Answer:
Scalene, Acute
Step-by-step explanation:
Scalene because each side has a different length
obtuse because one angle is more than 90°