Answer: Length = 9 units
Step-by-step explanation:
Let L represent the length of the rectangle.
The width of a rectangle is 2 units less than the length. It means that the width of the rectangle is (L - 2) units.
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the rectangle is 63 units. It means that
L(L - 2) = 63
L² - 2L = 63
L² - 2L - 63 = 0
L² + 7L - 9L - 63 = 0
L(L + 7) - 9(L + 7) = 0
L - 9 = 0 or L + 7 = 0
L = 9 or L = - 7
Since the length cannot be negative, then
L = 9 units
Width = 9 - 2 = 7 units
It would be 42,523 because 50x10=500 and 5 in 42,523 is in the hundreds spot
I think the opposite would be a circle because it would have any points.
Answer:
∠1=135°
∠2=45°
∠3=45°
∠4=135°
∠5=135°
∠6=45°
∠7=45°
∠8=135°
Step-by-step explanation:
→∠1=∠4[Being vertically opposite angles]
→∠4=135°
→∠1=∠5[Corresponding angles]
→∠5=135°
→∠5=∠8[Being vertically opposite angles]
→∠8=135°
→∠1+∠2=180°[Sum of linear pair]
→∠2=180°-135°
→∠2=45°
→∠2=∠3[Being vertically opposite angles]
→∠3=45°
→∠3=∠6[Alternate angles]
→∠6=45°
→∠6=∠7[Being vertically opposite angles]
→∠7=45°
If there are 189 children, then there are 189 divided 7 = <em>27 groups of 7 children.</em>
As mentioned in the problem,<em> for every 7 children, there are 2 caretakers </em>therefore, there are a total of 2 x 27 = 54 caretakers in the local daycare.
So, in total, there are 189 children + 54 caretakers = 243 people in the daycare facility.
