9514 1404 393
Answer:
21 coins of ₹2
Step-by-step explanation:
Let x represent the number of ₹2 coins, and y the number of ₹5 coins. Then the total value of the coins is ...
2x +5y = 77
and the relationship between numbers of coins is ...
x = 3y
Substituting for x, we have ...
2(3y) +5y = 77
y = 77/11 = 7 . . . . simplify, divide by the coefficient of y
x = 3(7) = 21 . . . . find x from the second equation
Ram has 21 of the ₹2 coins.
A. (3,1) because if you put 3 as x, 3-2=1,which then equals 1 as y
Answer:
m∠P = 65°
Step-by-step explanation:
An Isosceles triangle has two sides of equal length and two interior angles of equal measure.
Sum of interior angles of a triangle = 180°
If QO ≅ PQ and the enclosed m∠Q = 50° then m∠P ≅ m∠O
⇒ m∠Q + m∠P + m∠O = 180
⇒ 50 + m∠P + m∠O = 180
⇒ m∠P + m∠O = 130
As m∠P ≅ m∠O:
⇒ m∠P = 130 ÷ 2 = 65°
First, plug in the given point into y=mx +b to find b (the y-intercept of the line). Use the same slope (m) in the equation since parallel lines have the same slope (3 in this case).
-1 = 3(4) +b
-1 = 12 + b Subtract 12 to both sides.
-13 = b
Now, put your m and b into y=mx+b.
The final answer/equation of your line is:
y=3x -13
This then allows us to see exactly how and where the subtended angle θ of a sector will fit into the sector formulas. Now we can replace the "once around" angle (that is, the 2π) for an entire circle with the measure of a sector's subtended angle θ, and this will give us the formulas for the area and arc length of that sector
