Answer:
A rational number.
Step-by-step explanation
A rational number is a ratio of whole numbers.
1/3 is the ratio of 1:3
3:1 becomes 3/1 = 3
32:10 can be written 32/10 or 16/5 or 3.2
16/5 is a rational number 16 and 5 are integers, 5 is not equal to 0.
Therefore, 3.2 which can be expressed as 16/5 is a rational number.
3. C
4. 2
5. C
hope this helps:)
Answer:
y + z = x
Step-by-step explanation:
Let's rename angle BAC to w. Now, we have four angles: w, x, y, and z. We know that w + y + z has to equal 180 degrees, because a triangle's three angels always adds up to 180 degrees. We also know that w + x equals 180 degrees, because they are on the same line. These two phrases are equal:
w + y + z = w + x
We can then cancel w on each side:
y + z = x
Hope this helps! :)
Answer:
2/3 [3x - 15] =x-10
open the brackets first
[2/3 x3x] -[2/3 x15 =x - 15
2x - 10 =x - 10
put the like terms together
2x -x =-10 +10
x=0
Step-by-step explanation:
There are two methods to solve this problem. One of them is the typical method and the other one is the short-cut. I will explain the shortcut
Short-cut:
This method is quick and easy, and works with ALL triangles, which is why I suggest you use this. You make proportions. Since the triangles are similar, we can use CPCTC. Thereafter,

Now, you just need to identify the terms, substitute, and solve for the unknown, which would be k.

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So we found k, but it is asking for BE. Therefore, plug in the value of k, which is 11, into the expression for BE, which is k-7.
BE=K-7
k=11
BE=11-7
BE=4
Your answer is 4.