Answer:
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
Step-by-step explanation:
The similarity ratio of ΔABC to ΔDEF = 2 : 1.
Solution:
The image attached below.
Given ΔABC to ΔDEF are similar.
To find the ratio of similarity triangle ABC and triangle DEF.
In ΔABC: AC = 4 and CB = 5
In ΔDEF: DF = 2, EF = ?
Let us first find the length of EF.
We know that, If two triangles are similar, then the corresponding sides are proportional.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Ratio of ΔABC to ΔDEF = 
Similarly, ratio of ΔABC to ΔDEF = 
Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.
Answer:
-615.12
Step-by-step explanation:
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Answer:
Step-by-step explanation:
The 9 in 95 tells us how many tens are in the number 95.417; the 5 tells us how many ones, and the 4 how many tenths. And so on.
Thus,
95.417 = 9*10^1 + 5*10^0 + 4*10^(-1) + 1*10^(-2) + 7*10^(-3)
is 95.417 in expanded form, with each digit multiplying a power of 10.
Answer:
The migration of the African-Americans to Harlem in the USA empowered the African-Americans in the society in the early 1900s. This was one of the greatest accomplishments of the African-Americans in history.
Explanation:
The "Harlem Renaissance" was originally called the "New Negro Movement." During the "Reconstruction Era," many of the African Americans felt a newfound empowerment in the society. They started leaving the South, where most of them were enslaved and maltreated. Many of them moved to other places such as "Harlem" in New York City. It became an ideal destination for many "Negros" and their number increased over time.<u> This then became an African-American neighborhood</u>.
African-Americans started producing plays with actors of their descent. Several Negro poets emerged describing the life of the African-Americans. Negros became more literate and able when it comes to expressing themselves in the society. They even had their own newspaper known as<em> "The New Negro Movement."</em>
