4(-6x – 3) + 24x = -72x + 132
Step 1 -24x – 12 + 24x = -72x + 132 Distribute Property of Equality
Step 2: –12 = -72x + 132 equivalent
Step 3: -144 = -72x Subtraction Property of equality
Step 4: 2 = x Equivalent / Division property of equality
Answer:
45 and 135
Step-by-step explanation:
If angles, with measurements a and b, are supplementary, then a and b have sum 180 degrees.
So we have the following equation so far:
a+b=180
Now we also have that one angle has a measurement that is 1/3 the value of the one.
So we also have 3a=b which means we are letting the angle whose measurement be a have 1/3 the value of b.
So lets plug the second equation into first giving us:
a+3a=180
Add like terms:
4a=180
Divide both sides by 4:
a=180/4
a=45
So b=3a=3(45)=135.
So the angles in question have measurement s 45 and 135.
Angle C = Angle F as Angle F is the reflection of Angle C
Shobo's age = x years
His mother's age = 6 times of Shobo's age
= 6x years
Five years from now
________________
Shobo's age = ( x + 5 ) years
According to the problem given,
x + 5 = one by third of his mother's
present age
x + 5 = 6x / 3
x + 5 = 2x
5 = 2x - x
5 = x
Therefore ,
Shobo's present age = x = 5 years
His mother's age = 6x
= 6 × 5
= 30 years
