Jonas began his construction by drawing the diameter of a circle and then a line perpendicular to the diameter that goes through
2 answers:
You might be interested in
<u>Part 1) which angle is congruent to Angle 1?</u>
we know that
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called <u>corresponding angles</u>
m∠5=m∠1 ----------> by corresponding angles postulate
therefore
<u>the answer Part 1) is </u>
Angle
Part 2) Which can be used to directly prove that Angle 1 =~ Angle 8?
we know that
<u>Alternate exterior angles</u> are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines.
in this problem
m∠1=m∠8 -------> by alternate exterior angles theorem
therefore
<u>the answer part 2) is the option </u>
Alternate Exterior Angles Theorem
<u>Part 3) If m Angle 5 = 42 degrees, what is m Angle 4?</u>
we know that
<u> Alternate interior angles</u> are two interior angles which lie on different parallel lines and on opposite sides of a transversal
m∠4=m∠5 --------> by alternate interior angles theorem
so
m∠4=
therefore
<u>the answer Part 3) is</u>
Answer:
<h3>The missing value in the solution to the equation is <u>6</u>.</h3><h3>So, the complete solution is (6, -4).</h3>Step-by-step explanation:
Given:
6x+7y=4x+4y.
( ,-4)
Now, to complete the missing value in the solution to the equation.
<em>As, the equation is:</em>
<em /><em />
<em>And, the solution is:</em>
Now, solving the equation by putting the value of :
<em>Adding both sides by 28 we get:</em>
<em /><em />
<em>Subtracting both sides by </em><em> we get:</em>
<em /><em />
<em>Dividing both sides by 2 we get:</em>
<u><em>Thus, the solution to the equation is (6, -4).</em></u>
Therefore, the missing value in the solution to the equation is <u>6</u>.
Answer:
N=27 participants
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.
If we assume that we have independent variables and we have
individuals, we can define the following formulas of variation:
And we have this property
The degrees of freedom for the model on this case is given by where k =2 represent the number of variables.
The degrees of freedom for the error on this case is given by . Sinc we know k we can find N.
And the total degrees of freedom would be
On this case the correct answer would be N=27 participants