Laura's age is 9 years.
Solution:
Let x be the age of April.
Laura's age = 2 years more than half of April's age
<u>Convert statement into algebraic expression:</u>
Half of April's age = 
2 years more than half of April's age = 
Combined age of April and Laura = 23
⇒ April's age + Laura's age = 23



To add the fractions make the denominators same.
Multiplying 2 on both numerator and denominator of unlike terms, we get


Denominators are same, now add the fractions.

Do cross multiplication.




Aprils's age = 14 years
Laura's age = 
= 7 + 2
Laura's age = 9
Hence Laura's age is 9 years.
Answer:
At least 11 two-point baskets
Step-by-step explanation:
In her last basketball game, Casey scored 46 points.
In the current game, she has scored 24 points so far.
Difference
points
If Casey wants her total score in her current game to be at least as great as her score in the last game, then she has to make at least
two-point baskets.
Answer:
∠3 = 18°
∠4 = 144°
∠2 = 36°
∠1 = 72°
Step-by-step explanation:
From the concept of alternate interior angles,
∠3 = 18°
Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.
Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;
∠4 = 180 - 2(∠3)
∠4 = 180 - 2(18)
∠4 = 180 - 36
∠4 = 144°
∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)
∠2 = 180 - 144
∠2 = 36°
Like it was done for angle ∠4 above;
∠1 = (180 - 36)/2
∠1 = 144/2
∠1 = 72°
Answer:
a
Step-by-step explanation:
20-9=11