So based on the given figure above which is quadrilateral ABCD, the equation that is true would be the third option: angle ABD = angle CBD. Based on the SAS Postulate, i<span>f two sides and the included angle of a triangle are congruent to the corresponding sides and angle of another triangle , then the triangles are congruent. Hope that this answer helps.</span>
If these permutations were in a line, then the equation would be n!. But since we are dealing with a circle, it's a little bit different, given that there is no specific beginning or end. This means that <span>you could rotate the circle around n different ways and still have the same circular permutation. Thus, this would be the expression you are looking for:
n!/n, which can be simplified as (n-1)!
The correct answer is the second option.</span>
Step-by-step explanation:
The given quadratic equation is :
We need to solve the given equation. The formula used to solve a quadratic equation is :
We have, a = 3, b = -2 and c = 5
So,
Hence, this is the required solution.
Answer:
Sales= $90
Expenditures= $90
Step-by-step explanation:
The members of a cooking club are making cakes.
The cakes will be sold at a street fair price of $9 for each cake.
It cost $50 for a booth at the fair.
The ingredients for each cake cost $4
Let y represent the number of cakes that was sold
Since the price of each cake is $9 then,
Sales = $9y
Since the booth cost $50 and ingredients cost $4 then,
Expenditures = $50 + $4y
Sales = Expenditures
9y= 50 + 4y
Collect the like terms
9y-4y= 50
5y= 50
Divide both sides by the coefficient of y which is 5
5y/5= 50/5
y= 10
Sales= 9×10
= $90
Expenditures= $50 + 4(10)
= $50+$40
= $90
Hence the sales is $90 and the expenditures is $90
