Answer:
80 degrees
Step-by-step explanation:
Vertical angles are congruent, meaning that if a vertical angle is 80 degrees, the other vertical angle is 80 degrees; they have the same angle measure.
m < 1 = 80 degrees
Answer:
Pie chart.
9 slices
Step-by-step explanation:
Three-fourths of twelve is written as
3/4 * 12
i.e 3/4 is multiplied by 12
multiplying 3 by 12 gives 36 and dividing it by 4 gives 9 .
So Brody ate 9 slices out of the 12 slices of pizza.
The graph used in circular shape is called the a pie chart.
If we draw a pie chart 3 of the 4 sections will be colored showing that he ate 3/4 of the pizza representing 9 slices out of 12.
Each slice can be represented separately.
2,204/4 =551 packages
551x2.25=1,239.75$ is your final answer
Lets solve our radical equation
step by step.
Step 1 add 4 to both sides of the equation:


Step 2 square both sides of the equation:



Step 3 expand the binomial in the right hand side:

Step 4 simplify the expression:


Step 5 factor the expression:

Step 6 solve for each factor:
or 
or 
Now we are going to check both solutions in the original equation to prove if they are valid:
For 


The solution
is a valid solution of the rational equation
.
For 



Since -3 is not equal to -5, the solution
is not a valid solution of the rational equation
; therefore,
is an extraneous solution of the equation.
We can conclude that even all the algebraic procedures of Israel are correct, he did not check for extraneous solutions.
An extraneous solution of an equation is the solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation. Is worth pointing out that extraneous solutions are particularly frequent in rational equation.
Calculate 5% of how much she sold, then add it to her weekly salary.
5% = 0.05
Commission: 4600 x 0.05 = $230
Total pay: 380 + 230 = $610