Answer:
This system of equations was solved the Reduction Method:
Step 1: Multiply the equations by the appropriate numbers (The first equation was multiplied by 5 and the other one bye 7), so that one of the variables disappears by subtracting both equations.
Step 2: The equations were algebraically added and one of the variables disappeared (Resulting in 31a= 217).
Step 3: The variable "a" was cleared to know its value (a= 217/31= 7).
Step 4: The value "a" obtained is substituted in one of the previous equations.
Step 5: Multiply the 2 (coefficient of "a" in the first equation) by the value "a" obtained (2x7= 14).
Step 6: The independent term "14" is passed to the right member and his sign changes to negative (-14)
The final step is to clear variable "b" to know its value (b= -17/4= -2).
Step-by-step explanation:
ANSWER:
x = 60 units
The value of 'x' in this problem is 60 units.
STEP-BY-STEP EXPLANATION:
Method No. 1 - ( View first attached diagram )
There is a parallelogram in the diagram within the triangle. Parallelograms have two pairs of parralell, equivalent sides as shown by the additional red marking added in the attached diagram.
Therefore, the side which is equivalent to 30 is also equivalent to the three dashes ( | | | ).
From this:
| | | = 30
x = 2 × | | |
THEREFORE:
x = 2 × 30
x = 60 units
Method No. 2 - ( View second attached diagram )
The end points of the line which is equivalent to 30 are both located half way between each of the respective sides of the triangle as marked by the red dashes. This means that the line equivalent to 30 is half the value of the bottom side of the triangle which is equivalent to 'x'.
THEREFORE:
30 = x / 2
x = 30 × 2
x = 60 units
For E to be the midpoint of DF, it needs to divide DF in 2 equal segments, DE and EF. If E is the midpoint of DF, then DE and EF are equal, so the reason is that the expressions for DE and EF are equal. The reason is:
Answer:
Step-by-step explanation:
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