Answer:
The original number of oranges purchased is 260
Step-by-step explanation:
Let the original number of oranges purchased be x
We are given that The number of oranges a grocery store bought this year was 15% more than the number of oranges bought last year.
So, Oranges bought this year = 
We are given that This year the store bought 299 oranges.
So, 
x=260
Hence the original number of oranges purchased is 260
Answer:
6d+49.8
If looking for d=8.316 but 6 is repeated
Step-by-step explanation:
I think in (a) it will be 12*7 = 84 cm^2
In (b) it will be 42:6= 7 so 7*6=42 cm
In (c) it will be 42,9:7,8= 5,5 so 7,8*55 = 42,9
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°
