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nirvana33 [79]
3 years ago
5

the value of y varies directly with x, and when x = 1/4 , y = 25. What is the value of y when x is 2 1/3 need help ASAP

Mathematics
1 answer:
Grace [21]3 years ago
3 0

Answer:

y=233\frac{1}{3}

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In this problem we have

For x=1/4, y=25

Find the value of k (constant of proportionality)

y/x=k -----> k=25/(1/4)=100

The linear equation is

y=100x

Find the value of y when the value of x=2\frac{1}{3}

substitute the value of x in the equation but first convert to an improper fraction

x=2\frac{1}{3}=\frac{2*3+1}{3}=\frac{7}{3}

y=100(\frac{7}{3})=\frac{700}{3}

convert the result in mixed number

\frac{700}{3}=\frac{699}{3}+\frac{1}{3}=233\frac{1}{3}

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NO LINKS!!!<br><br>Make a flowchart to show the two triangles are similar. ​
timama [110]

Answer: The flowchart is shown below.

Explanation:

Each box is a different statement. The reason for the statement is provided below the box. The arrows on the flowchart direct the flow of how the proof is laid out. Typically the flow is left to right, top to bottom, or a mix of both. This is to match the reading order of many western countries. Though I would imagine the flow is reversed for countries that read from right to left.

The structure of any type of proof is to start with what you are given. Then use the previously established, or previously proven, theorems to make your way to what you want to prove.

In this case, we start off with MN and KL being parallel line segments. This is shown by the arrows on MN and KL. Because the segments are parallel, we then can determine these two facts:

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Both of those will have the reasoning of "corresponding angles theorem"

We have two pairs of angles which are congruent. This then directly leads to the triangles being similar. Refer to the AA (angle angle) similarity theorem for more information.

Feel free to use symbols in place of some words. For example, instead of saying something like "Triangle NMJ is similar to Triangle LKJ", you could write \triangle \text{NMJ} \sim \triangle \text{LKJ}

If you're curious what app I used to make the flowchart, the app is called "LucidChart". They have 3 options: 1 free and the other 2 are paid versions. I went with the free version and it worked just fine. But it's up to you which you prefer most.

5 0
2 years ago
3. In what bases would 4025 be a legitimate numeral?
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Base six and greater would make 4025 a legitimate numeral.

Legitimate number in which bases a number is legitimate by comparing the largest digit with the base number. If the largest digit is less than the base number, it is a legitimate number.

We have number 4025 .So, here largest digit is 5.

As 4025 to be the Legitimate numeral ,the base number should be greater than the largest digit of the numeral. So the base number should be greater than 5 .

Therefore, any base of 6 or higher would make 4025 a legitimate numeral.

Learn more:brainly.com/question/10868065

4 0
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