Answer:
option c) x₁₁ + x₁₂ = 8000
Step-by-step explanation:
Given:
xij = gallons of component i used in gasoline j
gallons of component 1 available = 8,000
demand gasoline types 1 = 11,000
demand gasoline types 2 = 14,000
Here, we have only component 1 available i.e i = 1 only
( therefore, all the options containing i = 2 gets eliminated )
thus,
component 1 will fulfill the demand of gasoline types 1 and 2 i.e j = 1 and 2
hence,
the equation satisfying the above conditions comes out as:
x₁₁ + x₁₂ = 8000
that means gallons of component 1 used in gasoline 1 and 2 and the total equals to the gallons of component 1 available i.e 8000
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any polygon = 360°
Answer:
The answer would be the third one shaded circle at -1 arrow goes left.
Answer:
f(8) = -208
Step-by-step explanation:
Apply 8 into the equation
f(8) = -3(8)² - 2(8)
= -192 - 16
= -208
8 will be your x value since it's implied within the question itself.
2. TU, UV and TV are mid-segments
3. Definition of mid-segment
4. Division property of equality
6. SSS similarity theorem
Solution:
Step 1: Given
T is the midpoint of QR.
U is the midpoint of QS.
V is the midpoint of RS.
Step 2: Mid-segments connects midpoints of opposite sides.
TU, UV and TV are mid-segments.
Step 3: By definition of mid-segment
A triangle mid-segment is parallel to the third side of the triangle and is half of the length of the third side.
and 
Step 4: By division property of equality
Divide first segment by RS, second segment by QR and third segment by SQ.
Step 5: By transitive property
Step 6: From the above steps, the sides of the triangle are congruent.
By SSS similarity theorem,
Hence proved.
