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marysya [2.9K]
2 years ago
10

If (2x+10) and (3x+10) form a linear pairfind angles.​

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
4 0
Linear pair angles are always supplementary.
So,
(2x+10) +(3x+10) = 180
5x+20 = 180
5x =180-20
5x=160
x= 160/5
x=32
Hence, the angles are 74 & 104
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2. The water level of a river was measured each day during a two-week period. The
vampirchik [111]

Step-by-step explanation:

day during a two-week period. The

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and the number of days the water level was measured.

Water Level of River

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28

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The max

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o

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4

0

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Number of Days

Which statement best describes the y-intercept of the graph?

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7 0
2 years ago
Read 2 more answers
Do not use spaces in your answer. Solve for x. -5x + 12x - 8x = -24 x = ___ a0
const2013 [10]

Answer:

\Huge \boxed{x=24}

Step-by-step explanation:

-5x + 12x - 8x = -24

Combine all like terms.

(-5+ 12- 8)x = -24

-x=-24

Multiply both sides by -1.

x=24

7 0
3 years ago
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4. The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation
sergey [27]

Answer:

Function f(x) is shifted 1 unit left and 1 unit up.

f(x)\rightarrow f(x+1)+1

Transformed function f(x+1)+1=\log(x+1)+1

Step-by-step explanation:

Given:

Red graph (Parent function):

f(x)=\log(x)

Blue graph (Transformed function)

From the graph we can see that the red graph is shifted 1 units left and 1 units up.

Translation Rules:

f(x)\rightarrow f(x+c)

If c>0 the function shifts c units to the left.

If c the function shifts c units to the right.

f(x)\rightarrow f(x)+c

If c>0 the function shifts c units to the up.

If c the function shifts c units to the down.

Applying the rules to f(x)

The transformation statement is thus given by:

f(x)\rightarrow f(x+1)+1

As function f(x) is shifted 1 unit left and 1 unit up.

Transformed function is given by:

f(x+1)+1=\log(x+1)+1

5 0
3 years ago
Please someone actually help with this I don't understand how.​
tigry1 [53]

Answer:

Scatter plot

Step-by-step explanation:

Answer is 5

8 0
3 years ago
A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes.
nika2105 [10]

Answer:

The best point of estimate for the true mean is:

\hat \mu = \bar X = 2.55

2.55-1.96\frac{12}{\sqrt{76}}=-0.148    

2.55+1.96\frac{12}{\sqrt{76}}=5.248    

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

Step-by-step explanation:

Information given

\bar X=2.55 represent the sample mean for the late time for a flight

\mu population mean

\sigma=12 represent the population deviation

n=76 represent the sample size  

Confidence interval

The best point of estimate for the true mean is:

\hat \mu = \bar X = 2.55

The confidence interval for the true mean is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The Confidence level given is 0.95 or 95%, th significance would be \alpha=0.05 and \alpha/2 =0.025. If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got z_{\alpha/2}=1.96

Replacing we got:

2.55-1.96\frac{12}{\sqrt{76}}=-0.148    

2.55+1.96\frac{12}{\sqrt{76}}=5.248    

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

7 0
3 years ago
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