The two lines in this system of equations are parallel
Step-by-step explanation:
Let us revise the relation between 2 lines
- If the system of linear equations has one solution, then the two line are intersected
- If the system of linear equations has no solution, then the two line are parallel
- If the system of linear equations has many solutions, then the two line are coincide (over each other)
∵ The system of equation is
3x - 6y = -12 ⇒ (1)
x - 2y = 10 ⇒ (2)
To solve the system using the substitution method, find x in terms of y in equation (2)
∵ x - 2y = 10
- Add 2y to both sides
∴ x = 2y + 10 ⇒ (3)
Substitute x in equation (1) by equation (3)
∵ 3(2y + 10) - 6y = -12
- Simplify the left hand side
∴ 6y + 30 - 6y = -12
- Add like terms in the left hand side
∴ 30 = -12
∴ The left hand side ≠ the right hand side
∴ There is no solution for the system of equations
∴ The system of equations represents two parallel lines
The two lines in this system of equations are parallel
Learn more:
You can learn more about the equations of parallel lines in brainly.com/question/8628615
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4 1/2(2)=9. Multiply by 2 to get total
9- 3 1/2=z. Subtract 3 1/2 from total to get Z
5 1/2= Z
Answer:
D 565.2 in
Step-by-step explanation:
First you need to find the area of the stepping stone. The rule for area of circle is pi times radius squared. To find the radius you divide 12 by 2 = 6. After you do 6 times 6= 36 you multiply 36 times pi (3.14) = 113.04. After we find the are of the stepping stone we multiply it by five to get how many inches we have to cover. 113.04 times 5= 565.2 in.
For this problem, it is really important to find who voted on Tuesday first.
90×(3/5)= 54
54 people voted on Tuesday. Since the people who voted on Wednesday was 1/4 of the members who did not vote on Tuesday.
90-54=36×(1/4)=9
9 people voted on Wednesday. Now add Tuesday and Wednesday together to find the ones that didn't vote.
54+9=63;90-63=27
27 people did not vote at all.
9514 1404 393
Answer:
∠B = 53°
∠C = 127°
∠D = 127°
Step-by-step explanation:
The trapezoid is isosceles, as indicated by the hash marks on sides AD and BC. This means it is symmetrical about the vertical center-line. Angles on the right will have the same measures as the symmetrical angles on the left.
So, you know immediately that ∠B = ∠A = 53°.
Because AB ║ DC, ∠A and ∠D are supplementary. That is, ...
∠D = ∠C = 180° -53°
∠D = ∠C = 127°
