N+d=21
5n+10d=170
so
multiply first equation by -5 and add to other one
-5n-5d=-105
<u>5n+10d=170 +</u>
0n+5d=65
5d=65
divide both sides by 5
d=13
sub back
n+d=21
n+13=21
minus 13 both sides
n=8
8nickles
13 dimes
Answer:
3 2/3
Step-by-step explanation:
The value of m2 is 1/7(m1 + 54)
u = 10.4 and v = 12
Solution:
In the given 2 sides of a triangle are 60°, 60°.
Sum of all the angles of a triangle = 180°
60° + 60° + third angle = 180°
⇒ third angle = 180° – 60° – 60°
⇒ third angle = 60°
All angles are equal, therefore the given triangle is an equilateral triangle.
⇒ All sides are equal in length.
⇒ v = 12
The line drawn from the top angle divides the triangle into two equal parts
and the line is perpendicular.
12 ÷ 2 = 6
Using Pythagoras theorem,

⇒ 
⇒ 
⇒ 
⇒ 
⇒ u = 10.4
Hence, u = 10.4 and v = 12.