10(10x−12)=−9(−9x−2)−5
Step 1: Simplify both sides of the equation.
−10(10x−12)=−9(−9x−2)−5
(−10)(10x)+(−10)(−12)=(−9)(−9x)+(−9)(−2)+−5(Distribute)
−100x+120=81x+18+−5
−100x+120=(81x)+(18+−5)(Combine Like Terms)
−100x+120=81x+13
−100x+120=81x+13
Step 2: Subtract 81x from both sides.
−100x+120−81x=81x+13−81x
−181x+120=13
Step 3: Subtract 120 from both sides.
−181x+120−120=13−120
−181x=−107
Step 4: Divide both sides by -181.
−181x
−181
=
−107
−181
x=
107
181
Answer:
x=
107
181
Answer:
Second choice
Step-by-step explanation:
The sides of the new triangle is in proportion to a scale of 3 to the original triangle. Since the sides are in proportions, the triangles are similar. Thus the angles are the same.
Answer:
120 days
Step-by-step explanation:
Tacos are served every 60 days.
Cheeseburgers are served every 8 days.
Since, both Cheeseburgers and Tacos are served today, the next day on which both will be served is gotten by finding the Lowest Common Multiple of 60 and 8.
To find the LCM,
First, we express the numbers as a product of their prime factors.
60= 2X2X3X5=2²X3X5
8=2X2X2=2³
Next, we take each of the term with the highest power and multiply.
L.C.M = 2³X3X5=120
After 120 days, Cheeseburgers and Tacos will be served on the same day.
