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3 years ago

[Help asap, will mark brainliest when it allows me] Find the angle measures for the following triangle.

Mathematics

2 answers:

Goryan [66]3 years ago

8 0

Answer:

x = 53°

(x+2)° = 55°

Step-by-step explanation:

Well we know that all the three angles added up together equals 180, so we can set the value of all the angles added up together as 180:

$x+(x+2)+72= 180$

Now lets add what we can together:

$2x+74=180$

Since we want to get x by itself to find its value, lets move 74 onto the other side and isolate the x:

$2x=106$

$x = 53$

And now we have the value of x, but let's plug them in and see if they still all equal to 180:

$(53+2)+53+72=180$

$180 = 180$

shutvik [7]3 years ago

5 0

Answer:

x=53

x+2= 53+2= 55

Step-by-step explanation:

(x+2) + x + 72 = 180 (angles of triangle supplementary)

2x+ 74 = 180

2x = 180- 74

2x= 106

x= 106/2

x= 53

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The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particular model varies No

Greeley [361]

Answer:

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 0.02 g/mi

Standard Deviation, σ = 0.01 g/mi

Sample size, n = 81

We are given that the distribution of level of nitrogen oxides is a bell shaped distribution that is a normal distribution.

Standard error due to sampling:

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.01}{\sqrt{81}} = 0.0011$

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.01

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 0.02}{0.0011})=0.01$

$= 1 -P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.01$

$=P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.99$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 0.02}{0.0011} = -2.326\\\\x = 0.0174$

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.

5 0

3 years ago

X-32>32+9x Thx help ASAP

DiKsa [7]

Answer:

Step-by-step explanation:

hello :

x-32>32+9x

means : x-9x>32+32

-8x >64

dvid by :8 -x >8 .......continu

4 0

3 years ago

The slope of the line that contains the points (2, -7) and (-2, 5) is -3. What is the y-intercept?

kramer

Answer:

C. -1

Step-by-step explanation:

Find the y intercept by plugging in the slope and a given point into the equation y = mx + b. Then, solve for b:

y = mx + b

-7 = -3(2) + b

-7 = -6 + b

-1 = b

So, the y intercept is -1.

The correct answer is C. -1

4 0

2 years ago

Which two lines below are perpendicular lines?

Naily [24]

Answer:

You said never mind, but I really like your username :)

Step-by-step explanation:

6 0

2 years ago

When Hailey commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 21 minutes and a

miskamm [114]

Answer: 135 days

Step-by-step explanation:

Since the amount of time it takes her to arrive is normally distributed, then according to the central limit theorem,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 21 minutes

σ = 3.5 minutes

the probability that her commute would be between 19 and 26 minutes is expressed as

P(19 ≤ x ≤ 26)

For (19 ≤ x),

z = (19 - 21)/3.5 = - 0.57

Looking at the normal distribution table, the probability corresponding to the z score is 0.28

For (x ≤ 26),

z = (26 - 21)/3.5 = 1.43

Looking at the normal distribution table, the probability corresponding to the z score is 0.92

Therefore,

P(19 ≤ x ≤ 26) = 0.92 - 28 = 0.64

The number of times that her commute would be between 19 and 26 minutes is

0.64 × 211 = 135 days

8 0

3 years ago