Answer:
Step-by-step explanation:
If two lines are perpendicular, they create 4 90° angles. Meaning, in this case, that m<DBC = 90 and m<DBA = 90.
We're given that m<DBE = 2x - 1 and that m<CBE = 5x - 42.
The sum of angles DBE and CBE = m<DBC = 90°
We can add the two angles and set it equal to 90 to find x
The solution to the system of linear equations is where the two lines intersect.
Look for the point where the two lines intersect. The x-value is 2 1/2, and the y-value is -4.
The answer is C.
Answer:
x=2
Step-by-step explanation:
Simplify both sides of the equation.
2x−1−(−x + 3)=6−2x
(Distribute the Negative Sign)
2x−1 + −1(−x + 3)=6−2x
2x + −1 + −1(−x) + (−1)(3)=6−2x
2x + −1 + x + −3=6−2x
2x + −1 + x + −3=6 + −2x
(Combine Like Terms)
(2x + x) + (−1 + −3)=−2x+6
3x + −4=−2x + 6
3x−4=−2x + 6
Add 2x to both sides.
3x−4 + 2x=−2x + 6 + 2x
5x−4=6
Add 4 to both sides.
5x−4 + 4=6 + 4
5x=10
Divide both sides by 5.
5x/5=10/5
x=2
The smallest one is -2/7
The largest one is 8/9 The difference between them is
8/9 - - 2/7 =
8/9 + 2/7 =
7*8/9*7 + 2*9/9*7 =
56 / 63 + 18 / 63 =
74 / 63 =
1 11/63
