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Ipatiy [6.2K]
3 years ago
14

X=The measure of the exterior angle of the triangle is:​

Mathematics
2 answers:
Mrac [35]3 years ago
6 0

Step-by-step explanation:

We know that

\sf \hookrightarrow \:  \boxed{ \sf \: sum \: of \: two \: interior \: angles  = exterior \: angle} \\  \sf \hookrightarrow \: 50 + x = 3x - 54 \\  \sf \hookrightarrow \: x - 3x =  - 54 - 50 \\  \sf \hookrightarrow \:  - 2x =  - 104 \\  \sf \hookrightarrow \: 2x  = 104 \\  \sf \hookrightarrow \: x =  \frac{104}{2}   \\ \sf \hookrightarrow \:  x = 52

aniked [119]3 years ago
6 0

Answer:

x= 52

exterior =102

Step-by-step explanation:

50+x=3x-54

50+54=3x-×

104=2x

52=x

3(52)-54

156-54=102

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4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a
bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given  a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

p_{1} = \frac{368}{634} =0.580

It found that 368 of the Indians and 130 Asians listened to rap music every day.

p_{2} = \frac{130}{567} =0.229

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

p_{1} = p_{2}

Alternative hypothesis:- p_{1} \neq  p_{2}

Level of significance α = 0.05

The test of statistic

z = \frac{p_{1} -  p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} })  } } }

where p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}

       p = 0.414

and q = 1-p = 1- 0.414 =0.586

Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

3 0
3 years ago
How to divide0.8 into 30
Nat2105 [25]

Answer:

pretty easy ヽ(・∀・)ノ

Step-by-step explanation:

When you are dividing by a decimal, you have to move the decimal to the right however many places to make it a whole number. In this case if you move the decimal 1 place to the right (that means multiplying by 10) .8 becomes 8. However many places you move the decimal, you have to do the same for the other number. In this case 30.0 becomes 300. Now the problem becomes 300 ÷ 8.

8 0
3 years ago
Read 2 more answers
You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Whic
yarga [219]

Answer:

16 in × 20 in

Step-by-step explanation:

  1. Finding the % of the picture that can fit in 16×20 frame

Area of picture= length by width

                         =4*6=24 in²

Area of frame=Length by width

                      =16*20=320 in²

% of the picture in the frame will be

                        (24/320) * 100% =7.5%

     2. Finding the % of the picture that can fit in 18 × 24 frame

Area of picture=24 in²

Area of frame =Length by width

                       =18*24=432 in²

% of the picture in the frame will be;

                        (24/432)*100%=5.6%

The frame 16 by 20 in will keep 7.5% of the original picture

The frame 18 by 24 in will keep 5.6% of the original picture

Hence you should use the frame  of 16 by 20 in because it will keep more of the original picture.

6 0
2 years ago
Which equation shows y=34x−52y=34x−52 in standard form?
ladessa [460]
It would be A, most definitely. 
5 0
2 years ago
Quick algebra 1 question for 50 points! <br><br><br> Only answer if you know the answer, Tysm!
Alexeev081 [22]

Answer:

x=0. The explanation is below.

Step-by-step explanation:

So, it is run 2 rise 6. We can fact-check that with 1 to 3 to 5 and 1 to 7 to 13. So, the slope is 3 because of rise over run. So, we can make an equation with y = mx + b. m = 3 because that is the slope. 1=3(1) + b. b=-2. So, the equation is y=3x-2. We can find any x using y and vice versa if we find the equation.

For this part, -2=3x-2. 3x=0. x=0.

4 0
2 years ago
Read 2 more answers
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