Answer:
r = 4
Step-by-step explanation:
If we clearly observe a point and the slope of the line are given.
Point=(5, -6) slope= -5
We know that the equation of the line having slope m and passing through point (
) is
Now the equation of the line is 
Now given that (3,r) lies on this line
r = 4
Answer:
It is not possible for Janet to have won 10 games.
Step-by-step explanation:
Let be "x" the number of games Janet won.
We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.
Then, we express this situation with this equation:
So, let's check if it is possible for Janet to have won 10 games. Substitute into the expression:
Therefore, it is not possible for Janet to have won 10 games.
0.36*28 = 10.44 Rounded to the nearest whole number : 10
10 students are in band
Answer:
35 minutes
Step-by-step explanation:
Measure of ∠B is 110°
Step-by-step explanation:
- Step 1: Find ∠B of the parallelogram.
In a parallelogram, opposite angles are equal.
⇒ ∠B = ∠D
⇒ ∠B = (5x + 10)°
- Step 2: Use theorems of quadrilaterals to form equations to find x and y.
Now, angles in a parallelogram are equal to 360°.
⇒ ∠A + ∠B + ∠C + ∠D = 360°
⇒ (3x + y)° + (5x + 10)° + (5y + 20)° + (5x + 10)° = 360°
⇒ 13x + 6y + 40° = 360°
⇒ 13x + 6y = 320° ------ (1)
Also, adjacent angles in a parallelogram are supplementary.
⇒ ∠A + ∠D = 180°
⇒ (3x + y)° + (5x + 10)° = 180°
⇒ 8x + y = 170° ----------- (2)
- Step 3: Solve the 2 equations to find x and y.
13x + 6y = 320
48x + 6y = 1020 (After multiplying eq. 2 with 6 to make coefficients equal)
Subtract (2) from (1)
⇒ -35x = -700
∴ x = 20
⇒ (5x + 10)° = 100 + 10 = 110°
