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krek1111 [17]
3 years ago
7

Can anyone help me with this problem? If you can include the steps, please do! Thanks :)

Mathematics
1 answer:
8090 [49]3 years ago
3 0

Answer:1=70 2=65 3=95

Step-by-step explanation:

Angles in a triangle add up to 180°

180-45=135-65=70

1=70°

Angles on a straight line add up to 180°

180-45=135-70=65

2=65°

Angles in a triangle add up to 180°

180-65=115-20=95

3=95°

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EastWind [94]
Formula for Circumference is 2*Pi*radius


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2. 56.52 cm
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4. 25.12 m
5. 37.68 ft.
6. 12.56 yd.
7.  43.96 in
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4 0
3 years ago
The sum of three consecutive even integers is 36. Let x represent the least consecutive integer.
lubasha [3.4K]
The integers are x, x + 2 and x + 4

x + x + 2 + x + 4 = 36
3x + 6 = 72
3x = 36 - 6 = 30
x = 30/3 = 10

The least numbers is 10
Therefore, the numbers are 10, 12 and 14
4 0
3 years ago
☆pls help no one has helped me and I'm so confused! ​
motikmotik

Answer:

Step-by-step explanation:

a). \frac{5\pm\sqrt{-4}}{3} = \frac{5}{3}\pm \frac{\sqrt{-4}}{3}

               = \frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}

               = \frac{5}{3}\pm\frac{2i}{3} [Since, i = \sqrt{(-1)}]

b). \frac{10\pm\sqrt{-16}}{2} = \frac{10}{2}\pm \frac{\sqrt{-16}}{2}

                  = 5\pm \frac{4\sqrt{-1}}{2}

                  = 5 ± 2i [Since, i = \sqrt{(-1)}]

c). \frac{-3\pm \sqrt{-144}}{6} = -\frac{3}{6}\pm \frac{\sqrt{-144}}{6}

                    = -\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}

                    = -\frac{1}{2}\pm 2\sqrt{-1}

                    = -\frac{1}{2}\pm 2i [Since, i = \sqrt{(-1)}]

4 0
2 years ago
For each of the following scenarios state whether H0 should be rejected or not. State any assumptions that you make beyond the i
scoundrel [369]

Answer:

a)H_0 :\mu = 4\\ H_1 : \mu \neq 4 , n = 15 , X=3.4 , S=1.5 , α = .05

Formula : t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}

t = \frac{3.4-4}{\frac{1.5}{\sqrt{15}}}

t =-1.549

p- value = 0.607(using calculator)

α = .05

p- value > α

So, we failed to reject null hypothesis

b)H_0 :\mu = 21\\ H_1 : \mu < 21 , n =75 , X=20.12 , S=2.1 , α = .10

Formula : t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}

t = \frac{20.12-21}{\frac{2.1}{\sqrt{75}}}

t =-3.6290

p- value = 0.000412(using calculator)

α = .1

p- value< α

So, we reject null hypothesis

(c) H_0 :\mu = 10\\ H_1 : \mu \neq 10, n = 36, p-value = 0.061.

Assume α = .05

p-value = 0.061.

p- value > α

So, we failed to reject null hypothesis

7 0
3 years ago
Help <br> Fjdjdjdjdjdjdjdjdjdjdjd
Zepler [3.9K]

Answer:

i belive its 6 please tell me if im wrong

Step-by-step explanation:

3 0
3 years ago
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