Answer:
Daniella: 0.2
Dwayne: 0.25
Angel: 0.2
Daniella and Angel have the same amount of scores. And Dwayne score is not. Dwayne has a higher score than Daniella and Angel.
Hope this helps
-Amelia
The symmetric property of equality.
This property states that: if a = b, b = a.
The similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line include:
- Both methods involve making a 90-degree angle between two lines.
- The methods determine a point equidistant from two equidistant points on the line.
<h3>What are perpendicular lines?</h3>
Perpendicular lines are defined as two lines that meet or intersect each other at right angles.
In this case, both methods involve making a 90-degree angle between two lines and the methods determine a point equidistant from two equidistant points on the line.
Learn more about perpendicular lines on:
brainly.com/question/7098341
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Part A;
There are many system of inequalities that can be created such that only contain points C and F in the overlapping shaded regions.
Any system of inequalities which is satisfied by (2, 2) and (3, 4) but is not stisfied by <span>(-3, -4), (-4, 3), (1, -2) and (5, -4) can serve.
An example of such system of equation is
x > 0
y > 0
The system of equation above represent all the points in the first quadrant of the coordinate system.
The area above the x-axis and to the right of the y-axis is shaded.
Part 2:
It can be verified that points C and F are solutions to the system of inequalities above by substituting the coordinates of points C and F into the system of equations and see whether they are true.
Substituting C(2, 2) into the system we have:
2 > 0
2 > 0
as can be seen the two inequalities above are true, hence point C is a solution to the set of inequalities.
Part C:
Given that </span><span>Natalie
can only attend a school in her designated zone and that Natalie's zone is
defined by y < −2x + 2.
To identify the schools that
Natalie is allowed to attend, we substitute the coordinates of the points A to F into the inequality defining Natalie's zone.
For point A(-3, -4): -4 < -2(-3) + 2; -4 < 6 + 2; -4 < 8 which is true
For point B(-4, 3): 3 < -2(-4) + 2; 3 < 8 + 2; 3 < 10 which is true
For point C(2, 2): 2 < -2(2) + 2; 2 < -4 + 2; 2 < -2 which is false
For point D(1, -2): -2 < -2(1) + 2; -2 < -2 + 2; -2 < 0 which is true
For point E(5, -4): -4 < -2(5) + 2; -4 < -10 + 2; -4 < -8 which is false
For point F(3, 4): 4 < -2(3) + 2; 4 < -6 + 2; 4 < -4 which is false
Therefore, the schools that Natalie is allowed to attend are the schools at point A, B and D.
</span>
Answer:
x = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = 
, then
sin60° = 
= 
= ( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
