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choli [55]
3 years ago
13

Consider triangle WXY... which statement about the angles is true?

Mathematics
2 answers:
Brrunno [24]3 years ago
5 0

Answer:  The correct option is (A) Angle W is greater than angle Y.

Step-by-step explanation:  Given that the measures of the three sides of a triangle XYZ are as follows:

XY = 10 units,

WY = 14 units,

WX = 5 units.

We are to select the correct statements regarding the angles of ΔXYZ.

Writing the lengths of the sides in ascending order, we have

5

Since the angle opposite to a smaller side of a triangle is smaller, so from inequality (i), we get

WX

Option (A) is "Angle W is greater than angle Y".

This option is correct, because we have  ∠W > ∠Y.

Option (B) is "Angle Y is the largest angle".

This is incorrect because ∠X is the largest angle.

Option (C) is "Angle X is smaller than angle W"

This is incorrect because ∠X is the largest.

Option (D) is  "Angle W is the smallest angle".

This is incorrect because ∠Y is the smallest.

Thus, (A) is the correct option.

bazaltina [42]3 years ago
5 0
1) Angle W is greater than angle  = yes since it's opposed to a larger side

2) Angle Y is the largest angle. = Wrong

3) Angle X is smaller than angle = Wrong.

4) Angle W is the smallest angle. =Wrong


Take it as a principle, the largest the angle the largest the opposed side & vice versa
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allochka39001 [22]
The coordinates of D is (3,-1) i’m pretty sure if not i’m sorry.
3 0
2 years ago
The amount of money that Li spends on a video game depends on how many game he purchases. if Li has at most $90 to spend on game
siniylev [52]

Answer:

Hence Domain set for function is {0,1,2,3,4}

Step-by-step explanation:

Given:

Total amount spend =90

22.5 $ each game cost

To Find:

What is domain for the function

Solution:

Now domain mean all possible value for input so that it gives real output as per condition mentioned

So Our condition is that li spends money on video game depends on how many game he purchases

so  total money  spent on game is output

i.e in order to get that much amount of games.

If he spends 22.5 $ for each game and Total amount spent is 90

So 90/22.5=4 Now amount of game he would purchase will be 4

i.e range for lil is 0 to 4 wiht 90 $ in hand

So Domain set will be ranging from{0,1,2,3,4}

7 0
3 years ago
I do not understand this assignment at all..I've been stuck on it for a long time and it's due very soon.
Alik [6]

\text{State Income Tax Rate: }6.65\%, \\\text{Deduction: }\$7,702.03

Answer:

State income tax: 6.65\%

Step-by-step explanation:

Based on the interface, it seems like you have chosen lawyer as a career with the given salary of $115,820.

The chart given for state income tax is broken into two categories:

$21,400-$80,650 => 6.45%

$80,651-$215,400 => 6.65%

Since the chosen career's salary is $115,820, the career falls into the second range of 6.65% state income tax.

The deduction is simply the amount of money taxed. For a 6.65% state income tax, the deduction can be found from:

115,820\cdot 0.0665=\boxed{\$7,702.03}

7 0
2 years ago
The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone'
Sladkaya [172]
The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone's velocity just before it strikes the ground? 

Answer: In order to find the stone’s velocity just before it strikes the ground we will use one of the free fall equations. V = √(2gh). We already have the values needed which are the gravity (9.8 m/s2) and our total height (318 meters). All you have to do is solve for V. You should get 78.95 m/s. 
5 0
3 years ago
1
zmey [24]

Answer:

Part 1) The inequality that represent this situation is 5(x+7)^{2} \geq1,050  or  5x^{2}+70x+245 \geq1,050

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ---->  the width of Andrew's tablet

we know that

L=5W ------> equation A

W=x+7 ----> equation B

The area of the television is

A=LW -----> equation C

Substitute equation A and equation B in equation C

A=5(x+7)(x+7)

A=5(x+7)^{2}

5(x+7)^{2} \geq1,050

5(x^{2}+14x+49) \geq1,050

5x^{2}+70x+245 \geq1,050 ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

5(8+7)^{2} \geq1,050

5(15)^{2} \geq1,050

1,125 \geq1,050 -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

3 0
3 years ago
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