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Inga [223]
1 year ago
15

2 In the diagram below of AABC, TV || BC, AT = 5,

Mathematics
1 answer:
ludmilkaskok [199]1 year ago
7 0

Answer:

14

Step-by-step explanation:

AT/TB = AV/VC

5/7 = 10/VC

VC = 14

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Let f(x)=-2x+6 and g(x)=10x-8<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7Bf%7D%7Bg%7D%20%28-3%29" id="TexFormula1" title=
tekilochka [14]

Answer:

f(10x-8)=-20x+22

f(g(x))

possibly

g(-2x+6)=-20x+52

g(f(x))

If needing a different answer math-way can possibly help you as it helped me.

6 0
2 years ago
The price of an item has been reduced by 60%. The original price was $84
IceJOKER [234]

Answer:

$33.60

Step-by-step explanation:

First, we get 60 percent of 84. That is 50.40. Next, we do 84 minus 50.40, which is 33.60. Therefore, your answer is $33.60. Hope this helped!

4 0
2 years ago
What is the value of x in this triangle?
gizmo_the_mogwai [7]

Answer:

  x = 33.49°

Step-by-step explanation:

The relevant trig ratio is the sine:

  Sin = Opposite/Hypotenuse

  siin(x) = 32/58

The angle measure is found using the inverse function:

  x = arcsin(32/58) ≈ 33.49°

8 0
2 years ago
A hotel wants to know if there's a relationship between gender and the way customers make room reservations. A manager takes a r
padilas [110]

Answer:

Step-by-step explanation:

Here,

H_o: The way of reservation is independent of gender.

H_a: The way of reservation is not independent of gender.

We use a chi square test because we can calculate the expected frequencies for this chart.

Doing an Expected Value Chart,          

         

33.7625   9.7125   30.525  

39.2375   11.2875   35.475

Using chi^2 = Sum[(O - E)^2/E],          

chi^2 =    4.482385929

With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,

a =    3      

b =    2

df =    2

Thus, the critical value is

significance level =    0.05

chi^2(critical) =    5.991464547

Also, the p value is

P =    0.106331579

Thus, comparing chi^2 and chi^2(critical) [or, p and significance level], we   FAIL TO REJECT THE NULL HYPOTHESIS.

Thus, there is no significant evidence that the way of reservation is dependent of gender. [CONCLUSION]

6 0
3 years ago
What is the length of x?
Marat540 [252]

Answer:

The length of 'x' is 4

Step-by-step explanation:

We can use the pythagorean theorem to solve this.

The pythagorean theorem is:

a ^{2}  + b^{2}  =  {c}^{2}

a ^{2}  + b^{2} =  c^{2}  \\  {3}^{2}  +  {b}^{2}  = 5^{2}  \\ 9 +   {b}^{2}  = 25 \\  \frac{ - 9 \:  \:  \:  \:  \:  \:  \:  \:  =  - 9}{b ^{2}  =  \sqrt{16} }  \\ b = 4

Therefore x = 4

8 0
2 years ago
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