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rusak2 [61]
3 years ago
7

100 POINTS FOR WHO EVER SHOWS THE WORKS AND ANSWERS CORRECTLY. LEGIT 4 QUETIONS BUT MUST SHOW WORK!!

Mathematics
1 answer:
lianna [129]3 years ago
8 0

Step-by-step explanation:

Hey there!

1.》 Let the unknown angle be 'x'.

Now,

x+ 29° + 105° = 180° [ Sum of interior angle of a triangle is 180°]

x = 180° - 134°

x = 46°

Therefore the missingangle is 46°.

2.》Angle 1 = 78° + 55° [ Exterior angleis equal to the measure of adjacent interior angle]

angle 1 = 133°

Therefore the measure of angle 1 is 133°.

3.》Angle 2 + 55° + 78°= 180° [ Sum of interior angle of a triangle is 180°]

angle 2 = 180° - 133°

angle 2 = 47°

Therefore the measure of angle 2 is 47°.

4.》It's is obvious that the measure of exterior angle is equal to opposite adjacent interior angle of a triangle.

See in picture;;; for more description for no.4.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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Anya's team won 5 out of every 7 games this season. If the team played 28 games this season, how many games did they win?
VLD [36.1K]

Answer:

20

Step-by-step explanation:

7 x 4 = 28

so you do 5 x 4 and get 20

7 0
2 years ago
Read 2 more answers
Suppose y = sqrt 2x+1, where x and y are functions of t.
frutty [35]

If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives

dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt

(a) If dx/dt = 9 and x = 4, then

dy/dt = 1/√(2•4 + 1) • 9

dy/dt = 1/√(8 + 1) • 9

dy/dt = 1/√9 • 9

dy/dt = 9/3

dy/dt = 3

(b) If dy/dt = 3 and x = 40, then

3 = 1/√(2•40 + 1) • dx/dt

3 = 1/√(80 + 1) • dx/dt

3 = 1/√81 • dx/dt

3 = 1/9 • dx/dt

dx/dt = 27

5 0
3 years ago
Solve the system of equations -2x+y=5 x-3y=-30
EastWind [94]
-2x+y=5
x-3y=-30 so you can multiply the bottom equation by 2 you'll get 2x-6y=-60

-2x+y=5
2x-6y=-60 And subtract the equations. You'll get -5y=-55 y=11. Plug it in to one of the original equations. -2x+(11)=5 
-2x=-6 so x=3 

y=11 and x=3 
5 0
3 years ago
Given the speeds of each runner below, determine who runs the fastest.
alexandr402 [8]

Answer:

Brooke

Step-by-step explanation:

We can solve this by figuring out how far each person runs a second

Stephanie runs 12 feet a second so nothing needs to be done here

Liz runs 306 feet in 38 seconds. To solve for the distance ran in 1 second we can divide (306/38)= around 8 feet

Will runes 1 mile in 491 seconds. A quick search will tell use that 1 mile is equal to 5280 feet and 5280/491 = 10.75

Brooke runs 851 feet in 1 minute or 60 seconds. 851/60 =14.18

Brooke obviously runs the furthest in one second and therefore she's the fastest runner

5 0
3 years ago
Read 2 more answers
A simple random sample with n = 58 provided a sample mean of 24.5 and a sample standard deviation of 4.4. (Round your answers to
nasty-shy [4]

Answer: (23.53, 25.47)

Step-by-step explanation:

The confidence interval for population mean(when population standard deviation is unknown) is given by :-

\overline{x} \pm\ t^*\dfrac{s}{\sqrt{n}}

, where \overline{x} = sample mean

n = sample size.

s = sample standard deviation.

t* = Critical value.

Given : \overline{x}=24.5

s= 4.4

Confidence level = 90% =0.090

Significance level = \alpha=1-0.90=0.10

Sample size : n= 58

Degree of freedom : df= n-1= 57

Using t-distribution table , the critical value :

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Then, the confidence interval will be :-

24.5 \pm\ (1.6720)\dfrac{4.4}{\sqrt{58}}

24.5 \pm\ (1.6720)\dfrac{4.4}{7.61577310586}

24.5 \pm\ 0.965995165263\approx24.5\pm0.97\\\\=(24.5-0.97,\ 24.5+0.97)\\\\=(23.53,\ 25.47)

Hence, a 90% confidence interval for the population mean = (23.53, 25.47)

6 0
4 years ago
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