Answer: The budget of Alexa is increased by $100.
Explanation:
It is given that the current income of Alexa is 3 times of her previous income.
Her previous salary was $800 and current salary was $2400.
Expenses = Rent + Utilities + Groceries + Savings + Bus
The sum of previous expenses is,
Previous expenses = $300 + $60 + $200 + $100 + $30 = $690
The sum of current expenses is,
Current expenses = $300 + $60 + $250 + $150+ $30 = $790
Effect of income on expenses is the difference of current expenses and previous expenses.
Effect of income on expenses = $790 - $690 = $100
Therefore, the budget of Alexa is increased by $100.
Answer:
It really determines what geometry is.
In simple terms geometry is just shapes.
That’s it really.
You have multiple theorems, postulates, and definitions to help you assist in proofs of theorems or jsut understanding of basic shapes.
Answer:
The area is 40 units
Step-by-step explanation:
Answer:
A, -92
Step-by-step explanation:
hope it helps
Answer:
x = 16
y = 20
Step-by-step explanation:
the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.
since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²
; 9² + 12² = c²
; 225 = c²
;√225 = c
; 15 = c
since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',
;
;
x 9 = Sinx
36.86 = x
now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.
; 90 - 36.86 = 53.13

;
x Sin 90 = 20
y = 20
again, since we have 2 sides of a right angled triangle we use a² + b² = c²
we arrange this formula since we have the hypotenuse
; 20² - 12² = 256
; √256 = x
; 16 = x