X/5 = 24/8
(because the triangles are similar)
x/5 = 3
x = 5*3 = 15 Answer
a/27 = 8/24 = 1/3
a = 9 Answer
Answer:
5.4 in.
Step-by-step explanation:
Figuring out the area of shapes like these are quite simple, you first have to break apart this shape to make solving this easier. If you draw a line and break off the triangle from the square you will get 2 different shapes. A square with all the sides being 2 inches, and a triangle that is 2 inches tall and 1.4 inches across (you subtract 3.4 by 2). Next you just use the equation (2 * 2) + ((1.4 * 2)/2). Multiply 2 by 2 (which is 4) and you get the area of the square (you multiply the base by the width). And for the triangle you multiple 1.4 by 2 (you get 2.8)... But because it's a triangle you have to divide that number by 2 since the triangle is half of a square. So 2.8 / 2 is going to be 1.4. After that you now have the equation 4 + 1.4 and the answer is going to be 5.4.
1 mile = 1.6 km
x = 50 × 1.6
x = 80 miles
There are several ways you can solve this problem if you're trying to solve for m and n. You can substitute, or systems of equations. However, I'm going to use substitution:
2m + n = 0 => n = -2m
We can input that in for the other equation:
m + 2n = 3 now becomes: m + 2(-2m) = 3
Now we can solve:
m + 2(−2m) = 3
m + −4m = 3
(m + −4m) = 3 (Combine Like Terms)
−3m=3
m = -1
Now we can input that value in to solve for n:
We said that n = -2m, and m = -1, so n = -2(-1):Answer:
n = 2
Your final answer is m = -1, and n = 2, which can also be written as (m,n) = (-1,2)
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However, if you were solving for m+n:
You would add the two equations!:
2m + n = 0
m + 2n = 3
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3m + 3n = 3
Now, you can take 3 common:
3(m+n) = 3
m + n = 1
Your final answer for what m + n equals 1!
Answer:
a congruent triangle is less then 180 and is around 42 degrees
Step-by-step explanation:
