Answer:
c = 60.65 cm
Step-by-step explanation:
Given that,
The two sides of a triangle are 33 cm and 37 cm.
The angle between these two sides is 120°.
We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,

a = 33 cm, b = 37 cm and C is 120°
So,

So, the length of the third side of the triangle is 60.65 cm.
Answer:
x = 12.
Step-by-step explanation:
If P(5,4),Q(8,10) and R(x,18) are collinear
then the slope of PQ equals the slope of QR
hence:
(10 - 4)/(8 - 5) = (18 - 10)/(x - 8)
6/3= 8/(x - 8)
2 = 8/(x - 8)
multiplying both sides by (x - 8) gives:
2(x - 8) = 8
2x - 16 = 8
2x = 8 + 16 = 24
hence x = 12
Answer:
No
Step-by-step explanation:
if you simplify 3/2 to a decimal, you get 1.5
comparing 0.74 to 3/2 we can conclude that 3/2 is in fact greater
Hello.
In 10 years, his age will be

The sum of his current age and 10 equals his age in 10 years.
2 years ago his age was

The difference of his current age and 2 equals his age 2 years ago.
7 years ago his age was

The difference of his current age and 7 equals his age 7 years ago.
Therefore, his age after 10 years will be
, his age 2 years ago was
, and his age 7 years ago was 
I hope it helps.
Have a nice day.

Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (4, 9) and (x₂, y₂ ) = (12, 20)
m =
=
→ C