Answer: x=2
Step-by-step explanation:
Expand.
32−8x=7x+2
Add 8x to both sides.
32=7x+2+8x
Simplify 7x+2+8x7x+2+8x to 15x+215x+2.
32=15x+2
Subtract 22 from both sides.
32−2=15x
Simplify 32−2 to 30.
30=15x
Divide both sides by 15.
30/15=x
Simplify 30/15 to 2
2=x
Switch sides.
x=2
Answer:
-0.8/ -4/5
Step-by-step explanation:
5(m+1) -1 = 0
5m +5 -1 = 0
5m +4 =0
5m= -4
m= -4/5
Written in slope intercept form y=mx+b.......m is the slope.......b is the y intercept or where the line crosses the y axis
y=-2/3x - 4
Answer: flog6e
Step-by-step explanation:
The power property of logarithm rule is :
Logamn = nlogaM
Applying the logarithm of power rule in the given expression we have:
Log6eF= flog6e
The second option that is flog6e is the right option among all the given options.
Answer:
The correct option is;
DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)
Step-by-step explanation:
Given that we have;
1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC
2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC
3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC
Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;
AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))
∴ (sin(m∠ADE)) = (sin(m∠ABC))
m∠ADE) = m∠ABC).
