How do I solve this problem?
1 answer:
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
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
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Answer:
The third picture
Step-by-step explanation:
Solve for x in both equations
2x<6
Divide both sides by 2:
x<3
3x+2>-4
Subtract 2 from both sides:
3x>-6
Divide both sides by 3:
x>-2
There is this trick you can use when x is on the left side of the equation to find out which way to shade in you graph. Keep in mind this is only for the left side, it will not work if your variable is on the right.
When the symbol is facing left < then shade left, imagine it is pointing which way to shade. x<3 is represented by the 3 picture on the left. When the symbol is facing right > then shade right, again it is pointing which way to shade. x>-2 is represented by the 3 picture on the right.
The circles are not filled in because the symbol is < and > rather than . When it is greater than or equal to or less than and equal to (represented by the line under the symbol), then the circle is shaded in.