Answer:
Firstly, rewrite the equation:
⅓ (18 + 27) = 81
Substitute x for the given number of it's supposed equivalent.
In this case x = 12.
⅓ (18(12) + 27) = 81
Solve using PEMDAS and simplify what is in the parenthesis first. Then, multiply.
(18 x 12) + 27 = 243
Now, solving using PEMDAS, multiply the total of what you got that was originally in the parenthesis by ⅓ .
⅓ (243) = 81
When you multiple these number they are equivalent to 81.
81 = 81
Since the equation given, when substituted x for 12, is equivalent to 81, this proves that substituting x for 12 makes this equation true.
209 action figures on his wall
380/100 = 3.8
so there would be 3.8 action figures per 1%
then 3.8*55 =209
John Frank Stevens, William C Gorgas and George Washington Goethals 1914 (opened)The building of the 50-mile-long Panama Canal was a collosal project, joining together the Pacific and Atlantic oceans by digging away 240 million metric tons of earth through the Isthmus of Panama. Almost as big a project was sanitising the area around the canal, which was mosquito infested and home to serious diseases like Malaria and Yellow Fever.
<span> In 1907 President Roosevelt appointed George Washington Goethals, a military engineer, as head of the project, and under his leadership the canal was finally completed in 1914, two years ahead of the 1916 target. Of benefit to the whole world, the achievement of the Panama Canal signalled American dominance in project management and engineering like no other project of the day.</span>
Answer:
Please read down below, thanks
Step-by-step explanation:
Vertical angles are always equal.
Because the two expression we have are equal, we can make the equation:
4x + 2 = 5x - 13
Let's move x to one side and the constants to the other side.
Subtract both sides by 4x and add both sides by 13
15 = x
Now we know x = 15, we can solve for the angles.
∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees
∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees
∠DBE is the same as ∠ABC so: 47 degrees
∠ABD is also the same as ∠CBE so: 133 degrees
