Answer:
Step-by-step explanation:
We have been given that line m is parallel to line p, 
and 
.
Since line m is parallel to line p and EJ is a transversal, so measure of angle EJG will be 39 degrees as angle EJG is alternate interior angle of angle HEF. Both angles are inside parallel lines m and p and on opposite side of transversal EJ.
We can see that angle EFG is exterior angle of triangle GFJ. Since the measure of an exterior angle of a triangle equals to the sum of the opposite interior angles.
We can see that angle IGF and angle EJG are opposite interior angles of angle EFG.
Upon substituting our given values we will get,
Therefore, measure of angle EFG is 52 degrees.
Formula:
<span><span>
</span>
<span>
<span>Note: , where nPr is the formula for permutations of n objects taken r at a time.</span>
</span>
<span>
Example:
<span>How many different committees of 4 students can be chosen from a group of 15?
</span>
</span>
<span>
Answer:
<span>There are possible combinations of 4 students from a set of 15.</span>
</span>
<span>
<span>
There are 1365 different committees.</span></span></span>
Answer:
<u>Consider the following identity:</u>
- a³ - b³ = (a + b)(a² - ab + b²)
<u>Let a = 2, b = 1/2</u>
- (2 + 1/2)(2² - 2*1/2 + 1/2²) =
- 2³ - (1/2)³ =
- 8 - 1/8
Answer:
x= -1/3
Step-by-step explanation:
First, we can combine like terms on each side:
-4-18x=3x+3
Then, we move all of the variables onto one side and the constant onto the other:
-18x-3x=3+4
-21x=7
x=-7/21
x= -1/3
Hope this helps!
The solution to given quadratic equation is x = -0.3851 or x = 10.3851
<em><u>Solution:</u></em>
Given equation is:
To find: solve by quadratic equation formula
Using the above formula,
<u><em>Substituting the values of a = -4 ; b = 40 ; c = 16 in above quadratic formula we get,</em></u>
Thus the solution to given quadratic equation is x = - 0.3851 or x = 10.3851
