Answer:
41
Step-by-step explanation:
BDA = DBC+CBA
84=5x+3 + 6x-7
Combine like terms
84 = 11x-4
Add 4 to each side
84+4= 11x -4+4
88 =11x
Divide each side by 11
88/11 = 11x/11
8 = x
We want angle ABC
ABC = 6x-7
=6*8 -7
=48-7
=41
The area of flying disk is 452.16 square centimeters
Step-by-step explanation:
The disc is in circular shape so we will use the formulas for circle in this question.
Given
Circumference = C = 75.36 centimeters
We have to find the area of the disc for which we have to find the radius first.
Let r be the radius
Then
Circumference is given by:

putting the values

Dividing both sides by 6.28

The area of circle is given by:

Putting the values

Hence,
The area of flying disk is 452.16 square centimeters
Keywords: Circle, area
Learn more about circle at:
#LearnwithBrainly
The solution of the linear equations will be ( -2, 4).
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are:-
Solving the equations by elimination method:-
2x +3y = 8
3x+y= -2
Multiply the second equation by 3 and subtract from the first equation.
2x +3y = 8
-9x -3y = 6
----------------
-7x = 14
x = -2
Out of the value of x in any one equation, we will get the value of y.
3x+y= -2
3 ( -2) + y = -2
-6 + y = -2
y = 4
The graph of the equations is also attached with the answer below.
Therefore the solution of the linear equations will be ( -2, 4).
The complete question is given below:-
Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2. Find the value of x and y and draw a graph for the system of linear equations.
To know more about equations follow
brainly.com/question/2972832
#SPJ1
Answer:
$43.20
Step-by-step explanation:
To find the original purchase price, write a proportion and solve. A proportion is an equation where two ratios are set equal.
If the discount if 15% then you pay 85%.

To solve for y, cross multiply the numerator and denominator of each fraction.
36.72(100) = 85y
3672= 85y
43.2 = y
Answer:
0.0906
Step-by-step explanation:
Given that the prevalence of a certain type of tree allergy is 0.26 in the general population
X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.
Here n = 100
Required probability = the probability that exactly 26 of them will have this allergy
=