1) IF DE = 9, find BC
1 answer:
Answer:
1. BC = 18
2. m<ABC = 80°
3. x = 5
Step-by-step explanation:
1. If DE = 9, therefore:
(based on the midsegment theorem, DE is half the length of the third side, BC)
2. m<ADE = 80°, then,
m<ABC = 80°
This is because m<ADC and m<ABC are corresponding angles. Corresponding angles are congruent.
3. DE = 2x + 7 , and BC = 7x - 1, find BC
Thus:
(midsegment theorem)
(substitution)
Solve for x
Collect like terms
Divide both sides by 3
x = 5
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Answer:
The equations 3·x - 6·y = 9 and x - 2·y = 3 are the same
The possible solution are the points (infinite) on the line of the graph representing the equation 3·x - 6·y = 9 or x - 2·y = 3 which is the same line
Step-by-step explanation:
The given linear equations are;
3·x - 6·y = 9...(1)
x - 2·y = 3...(2)
The solution of a system of two linear equations with two unknowns can be found graphically by plotting the two equations and finding the coordinates of the point of intersection of the line graphs
Making 'y' the subject of both equations gives;
For equation (1);
3·x - 6·y = 9
3·x - 9 = 6·y
y = x/2 - 3/2
For equation (2);
x - 2·y = 3
x - 3 = 2·y
y = x/2 - 3/2
We observe that the two equations are the same and will have an infinite number of solutions
