Answer:
36 units.
Step-by-step explanation:
we will use concept of basic proportionality theorem,
it states that , when a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.
Example:
In a triangle ABC
If DE is parallel to BC
D is a point on line AB and E is point on AC, then
by basic proportionality theorem)
AD/DB = AE/EC
_____________________________________
in the problem given one side has a parallel line drawn to it
Hence we can use basic proportionality theorem in it
20/30 = 24/?
2/3 = 24/?
=> ? = 24*3/2 = 36
Hence, missing segment value is 36 units.
Answer:
i have the same ques... u know the answer yet??
Step-by-step explanation:
Answer: It reads the same backwards
Answer: w=12, y=6√3
Step-by-step explanation:
Looking at the figure, we can split the triangle into 2 separate triangles. One on the left and one on the left. The triangle on the right is a 30-60-90 triangle. For this triangle, the hypotenuse is 2x in length. This is directly opposite of the right angle. The leg opposite to 30° is x in length. The leg opposite 60° is x√3 in length. Once you know the length of one side, you can plug in x to find the length of the other legs.
In this case, w and y are located on the same 30-60-90 triangle. Normally we would focus on that triangle to find our values, but in this instance, we don't have any values. We have to use the left triangle to find the leg that both triangles share.
The left triangle is a 45-45-90 triangle. For this triangle, the legs opposite of 45° is x in length. The hypotenuse is x√2. Since we know the hypotenuse, we can use it to find x.
x√2=8
x=8/√2
x=5.7 or 6 [Let's use 6 so that it is easier to work with a whole number]
Now that we know x, we can find w and y. Going back to the right triangle, we know the hypotenuse is 2x. We plug in 6 to find the length.
w=2x
w=2(6)
w=12
We know the leg opposite of 60° is x√3. We can plug in x.
y=6√3
Remark
Brackets are wonderful things. They clarify many a situation that is otherwise not clear. But they can be confusing as well and until you get used to what they do, it is best to remove them and look at the signs they leave behind.
Example One
(+8) -(-8) Let's ignore the first set of brackets for the moment and just focus on the second ones. If you remove them, you get
(+8) - - 8 What does that tell you? You have 2 minus signs in a row. There are no numbers between them, just the two minus signs in a row. When you have an even number of signs, The sign changes to a plus. The rule is two minus's in a row give a plus. So what you have now is
(+8) + 8 To complete the problem remove the set of brackets that I said to ignore.
+8 + 8 = 16 The plus sign has no effect on the answer in this case.
Example Two
(-4) + (-5) Again ignore the first bracket set. Just remove the second set.
(-4) + - 5 Here you have an odd number of minus signs. The five becomes -5
(-4) - 5 Now remove the first set of brackets.
-4 - 5 = -9 is your answer. The main point is what happened to the 5?
Comment.
You can have as many + or - signs in a row as your are asked to consolidate.
If you have (3) - - - - - - - - - - 9 = 12. I think there are 10 minus signs between the 3 and the 9. The 9 becomes plus and the answer is 3 + 9 = 12
On the other hand you could have 3 - - - 9 = 3 - 9 = - 6 because there are an odd number of signs (3), the 9 becomes - and the answer is - 6.