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pogonyaev
1 year ago
7

Is triangle VUW similar to triangle VXY? If yes, explain how you know. If no, explain why not.​

Mathematics
2 answers:
asambeis [7]1 year ago
7 0

Answer:

Yes, because <UVW is congruent to <XVY and <VUW is congruent to <VXY.

Step-by-step explanation:

antoniya [11.8K]1 year ago
5 0

Answer:

Yes, because m<UVW is congruent with m<XVY and m<VUW is congruent with m<VXY

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are equal

In this problem

m<VXY=m<VUW ------> by corresponding angles

m<XVY=m<UVW -----> is the same angle

therefore

m<XYV=m<UWV -------> because the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangles VUW and VXY are similar by AA Similarity Postulate------> The three internal angles are congruent

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Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.
barxatty [35]

Answer:

524.96 − 32.50 + x ≥ 500

Amount need to deposit = $7.54

Step-by-step explanation:

Given:

Amount in checking account = $524.96

Maintain amount = $500

Amount of check = $32.50

Find:

Amount need to deposit

Computation:

Assume, amount need to deposit = x

So,

For avoiding fee

524.96 − 32.50 + x ≥ 500

x = 7.54

Amount need to deposit = $7.54

4 0
2 years ago
Kelly asked some of her classmates how many hours of sleep they get on school nights. Here are the results:
Hitman42 [59]

All three are equal to 8

5 0
1 year ago
Read 2 more answers
Linda commutes a total of 54 miles to and from work every day. She needs a new car, and good gas mileage is important to her. Sh
Alchen [17]
The answer is 1 gallon.

Miles per gallon(mpg) is computed by dividing the distance traveled by the how many gallons used. So you can derive a formula for how many gallons you would use given the mpg. You will end up with:

gallon =  \frac{miles travelled}{miles per gallon}

The problem asks for how many gallons of gas she will safe in a five-day work work week. So first you need to compute how many miles that would be. 

54 miles/day x 5days =  270 miles

So in a five day work week, she will travel 270 miles.

Now to see how much gas she will save, compute how many gallons she will use up for each car, given the mpg of each and find the difference. 

First model:30 mpg

gallons = \frac{270miles}{30mpg}
gallons = 9g
 
This means that with the first model, she will have used up 9 gallons in a 5-day work week.

Second model: 27 mpg
g = \frac{270mi}{27mi/g}
g = 10g

This means that with the second model, she will have used up 10g in a 5-day work week. 

Now for the last bit. How much will she save? You can get that by getting the difference of how many gallons each car would have used up.

10gallons - 9gallons = 1g

So she would have saved 1 gallon of gas if she buys the first car instead of the second. 
 
8 0
1 year ago
Read 2 more answers
A given set of values is found to be a normal distribution with a mean of 140 and a standard deviation of 18.0. Find the value t
Alisiya [41]

Answer:

The value that is greater than 45% of the data values is approximately 137.84.

Step-by-step explanation:

The key is transforming values from this distribution to a z-score range and finding the corresponding value using a z-score table.

We are looking for a value x which attains a critical z-score that corresponds to the (100-45)%=55-th percentile:

z_{0.55} = \frac{x-\mu}{\sigma}=\frac{x-140}{18}\implies x = 18\cdot z_{0.55}+140

The critical z value (from z-score table, online) is: -0.12, so:

x = 18\cdot z_{0.55}+140=18\cdot(-0.12)+140\approx137.84

The value that is greater than 45% of the data values is approximately 137.84.


5 0
2 years ago
Read 2 more answers
Which graph represents the inequality?<br><br> 18x−3y&lt;−21
ozzi
I'm going to go with C.
The inequality isn't greater than OR EQUAL TO which marks out B and D.
The inequality is showing that it is greater than -21 meaning that the shaded area should be towards the positive which in turn marks out A.
6 0
2 years ago
Read 2 more answers
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