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Otrada [13]
3 years ago
6

∠A and \angle B∠B are supplementary angles. If m\angle A=(3x+18)^{\circ}∠A=(3x+18)

Mathematics
2 answers:
svet-max [94.6K]3 years ago
6 0

\bf \stackrel{\textit{we know that they are supplementary}}{\stackrel{\measuredangle A}{(3x+18)}~~ + ~~\stackrel{\measuredangle B}{(5x+2)}}~~ = ~~180 \implies 8x+20=180\implies 8x=160 \\\\\\ x=\cfrac{160}{8}\implies \boxed{x = 20} ~\hfill \stackrel{\measuredangle A}{3(20)+18}\implies 78

Alex3 years ago
5 0

Answer:

Angle A is 168 degrees and angle B is 12 degrees.

Step-by step explanation:

x=14y

14y+y=180

15y=180

y=12

x=168

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g In the sample of 134 South Korean tourists, 57 of them were satisfied with their Jeju experience. In the sample of 150 other c
nasty-shy [4]

Answer:

The test statistic = -0.93

Step-by-step explanation:

The test statistic is given by the formula

z = (X₁ - X₂) ÷ √(σₓ₁² + σₓ₂²)

where X₁ = proportion of data of South Korean tourists = (57/134) = 0.425

X₂ = proportion of other country tourists = (72/150) = 0.48

σₓ₁ = standard error in data 1 = √[p(1-p)/n]

= √(0.425 × 0.575/134) = 0.0427

σₓ₂ = standard error in data 2 = √[p(1-p)/n]

= √(0.48 × 0.52/150) = 0.0408

z = (X₁ - X₂) ÷ √(σₓ₁² + σₓ₂²)

z = (0.425 - 0.48) ÷ √(0.0427² + 0.0408²)

z = -0.055 ÷ 0.0590586996

z = -0.9313

Hope this Helps!!!

6 0
3 years ago
The population of a city (in millions) at time t (in years) is P(t)=2.6 e 0.005t , where t=0 is the year 2000. When will the pop
lora16 [44]

Answer:

  year 2139

Step-by-step explanation:

The population will double when the factor e^(.005t) is 2.

  e^(.005t) = 2

  .005t = ln(2)

  t = ln(2)/0.005 = 138.6

The population will be double its size at t=0 when t=138.6. That is the population will be about 5.2 million in the year 2139.

7 0
3 years ago
A phone company charges 0.1 per minutes talked and additional $24 for services each month. Write the liner function C(n) where n
ella [17]

Answer:

the cost of talking for 15 minutes would be $1.5

15x0.1=1.5

for $50 you could talk for 500 minutes.

50/0.1=500

double check, 500x0.1=50

6 0
3 years ago
One number exceeds another by 15. the sum of the numbers is 69. what are the numbers
alex41 [277]

Hey there!!

Let us take the first number as ' x '

According to the question

The second number exceeds the first number by 15

hence, the second number = x+15

The sum of both the numbers = 69

which means

x + x + 15 = 69

2x+15 = 69

Subtracting by 15 on both sides

2x + 15 - 15 = 69 - 15

2x = 54

dividing by  2 on both sides

x = 27

first number = 27

second number = 27 + 15

= 42

Hope my answer helps!

7 0
3 years ago
X. F(x)
Mkey [24]

Answer:

  • A.  There is a line symmetry at x=1.5
  • D.  There are x- intercepts at (-1,0) and (4,0)

Step-by-step explanation:

The average of x-coordinates corresponding to the same F(x) value is 1.5. That is ...

  (-2+5)/2 = (-1+4)/2 = (0+3)/2 = 1.5

The values in the table appear to be symmetrical about x=1.5, so that is a line of symmetry.

__

The x-intercept points are those points where F(x) = 0: (-1, 0) and (4, 0).

__

The y-intercept is (0, -4), not (-4, 0).

On the interval [0, 5] the function is both decreasing and increasing.

3 0
3 years ago
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