Answer:
75 degrees.
Step-by-step explanation:
All interior angles of a triangle add up to 180.
So we can set up an equation: 65+40+x=180
105+x=180
x=180-105
x=75
Answer:
Step-by-step explanation:
Use the Law of Cosines to find the measure of angle A from the lengths of the sides.
A = arccos[(b²+c²-a²)/(2bc)] ≅ 29.9°
B = arccos[(a²+c²-b²)/(2ac)] ≅ 54.8°
C = 180 - A - B = 95.3°
Simplify the expression.
Exact Form :
- 53/12
Decimal Form :
- 4.416
Mixed Number Form :
- 4 5/12
Hope this helps !
Have a great day! :)
Answer:
x = 8 ± 2i
Step-by-step explanation:
Given
x² - 16x + 60 = - 12 ( subtract 60 from both sides )
x² - 16x = - 72
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 72 + 64, thus
(x - 8)² = - 8 ( take the square root of both sides )
x - 8 = ±
= ± 2i
( add 8 to both sides )
x = 8 ± 2i
I do not agree. This is because when the dog was a puppy, she was 370 grams not kilograms. Diego's mistake was mistaking grams for kilograms.