Answer:
You are correct if it is 115 degrees
Step-by-step explanation:
3x+40=5x-10
x=25
3x+40=Angle 1
3(25)+40
=115
Pythagoras theorem is used in scalene triangles to work out the other side length to do this you would need to follow the rule a2+b2=c2 in order to calculate the hypotenuse
They are not similar, both of the triangles do not add up to the same number.
D+n=25 subtract d from both sides *(if your wondering what d and n are it stands for Dimes and Nickels)* n=25-d
0.10d+0.05= 1.85
0.10d+0.05(25-d)= 1.85
0.10d+1.25-0.05d= 1.85
0.05d = 0.60
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
My answer: He has 12 dimes (d=12) and 25-12=13 so 13 nickels.. Hope this helps! :)
The sum of the opposite interior angles is equal to the exterior angle.
So,
∠CAB + ∠ACB = ∠CBD
x + 40 + 3x + 10 = 6x
4x + 50 = 6x
2x = 50
x = 25°
∠CAB = x + 40 = 25 + 40 = 65°
Hence, the answer is D.