Answer:
Step-by-step explanation:
1) A similar triangle must have the same ratios of sides. Triangle ABC and triangle LNM are similar because all the sides of LNM are 1/2 of the sides of ABC. As they are all in a 1:2 ratio, the triangles are similar.
2) ADE and ABC are similar because each angle is the same. Angle D and Angle B are the same because they are shown as the same with the same dot symbolization. Angle E and C are the same because they are shown as the same with the same curvy angle representation. ADE and ABC share A as the same angle, so all three angles are the same.
5) As triangles ABC and EDC are similar, the sides must have the same ratio. ED is similar to AB, EC is similar to AC, and CD and BC are similar. First we find the ratio. The only pair of similar lines are EC and AC, so we have to find the ratio from those two lines. EC is 15 and AC is 10/3, so we do 15 divided by 10/3 and we get 9/2. Therefore, the ratio is 9/2. Now we can find x and y. We can first look at ED and AB. Ed is 12 and AB is y. We know that it must have the same ratio of 9/2, so 12/y must equal 9/2. We can do proportions. 12/y = 9/2, 9y = 24 (you multiply the numbers diagonally). So, we get y = 8/3. Now we can get x the same way. BC and CD are similar, and so x/5 must equal 9/2 as well. We use proportions again and we have x/5 = 9/2, so 45 = 2x and x = 45/2.
478(900) + 478(95)
Hope this helps!
Answer:
(m + 2 - x) (m + 2 + x)
Step-by-step explanation:
m² + 4m + 4 - x²
m² + 2(m)(2) + 2² - x²
(m + 2)² - x²
(m + 2 - x) (m + 2 + x)
<h3>
Answer: The rectangles are <u>
not</u>
similar</h3>
========================================================
Explanation:
Divide the vertical sides to get the fraction 18/7
Divide the horizontal sides to get the fraction 30/6
If the rectangles were similar, then 18/7 = 30/6 is a possibility (there's one more possibility but we'll get to it later).
If 18/7 = 30/6 were true, then we should be able to cross multiply and get another true statement. Let's find out
18/7 = 30/6
18*6 = 7*30
108 = 210
We get a false statement, which means the original equation is false.
-----------------------
Now let's say we rotated the bottom rectangle so that the '7's were horizontal and the '6's were vertical. We'll divide the corresponding horizontal sides and vertical sides to get the two fractions of 30/7 and 18/6
Let's see if we have a true equation or not
30/7 = 18/6
30*6 = 7*18
180 = 126
Like before, we end up with a false equation which means the original is false.
No matter how we rotate the rectangles, we do <u>not</u> end up with similar figures.
-----------------------
Here's another way to see we don't have similar rectangles. We'll form the fraction 18/30 based on dividing the vertical and horizontal sides of the upper rectangle. The lower rectangle gives us 7/6
18/30 = 7/6
18*6 = 30*7
108 = 210
This is more evidence that the rectangles aren't similar. The same will happen if we tried 18/30 = 6/7
Answer:
I am not sure but for me the answer is 1
