Hi there!
In order to fin the average, you need to add all the terms together and then divide the result by the number of terms :
(
) ÷ 2 = average
Now, I’m assuming that you know that in order to add fractions, both fractions must have the same denominator (bottom number in a fraction). Since these fractions do not have the same denominator, we must give them one.
To find the lowest common denominator (which will help us solve this problem), we must find out what 2 & 3 go into. Well, both numbers go into 6!
So, if the denominator is now 6, you must multiply the numerator (numbers about the “/” line in this case are both 1) by how much you multiplied its denominator by.
For 1/2, you multiplied 2 by 3 to get 6. Therefore, you must multiply the 1 by 3 aswell.
for 1/3, you multiplied 3 by 2 to get 6. Therefore, you must multiply the 1 by 2.
and now you have 3/6+2/6 since the denominators are the same, you can add the numerators normally which gives you 5/6
÷ 2 = 
Your answer is :
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
Step-by-step explanation:
Top Problem:
Reason:
1. Given
2. Definition of segment bisector ( segment bisector is a line, ray or segment that divides a segment into to congruent segments)
3. Vertical angles are congruent
4. SAS (Side ZP≅XP Angle ZPY ≅ WPX Side WP≅YP)
Bottom Problem
Reason:
1. Given
2. Definition of angle bisector ( an angle bisector is a line, ray or line segment that divides an angle in two congruent angles)
3. Definition of angle bisector
4. Reflexive Property ( a line segment is congruent with itself)
5. ASA (Angle Side Angle Theorem of Congruency)
Answer: x=12
Step-by-step explanation:
OQ is equal to NL since both contain 90 degree angles and are intersected by a radius. Since OS is 3x-2 and NL is 32, then we need to find OQ and set it equal to NL. OS is half of OQ, so multiplying OS by 2 will get you OQ. 6x-4=32
That yields x=12.
Answer:
$51.2
Step-by-step explanation:
I think I'm not sure
Options
(A) (9,0) (B) (-2,20) (C) (-5,2) (D) (0,-9)
Answer:
(B) (-2,20)
Step-by-step explanation:
Given the objective function, C=3x-4y
The vertex at which C is minimized will be the point (x,y) at which the expression gives the lowest value.
<u>Option A </u>
At (9,0), x=9, y=0
C=3(9)-4(0)=27-0
C=27
<u>Option B </u>
At (-2,20), x=-2, y=20
C=3(-2)-4(20)=-6-80
C=-86
<u>Option C</u>
At (-5,2), x=-5, y=2
C=3(-5)-4(2)=-15-8
C=-23
<u>Option D </u>
At (0,-9), x=0, y=-9
C=3(0)-4(-9)=0+36
C=36
The lowest value of C is -86. This occurs at the vertex (-2,20).
Therefore, the objective function C=3x-4y is minimized at (-2,20).
