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Bond [772]
3 years ago
14

Solve for x, given that the polygons are similar

Mathematics
1 answer:
ryzh [129]3 years ago
6 0
 8       24 - 14
--- = ----------------
24          60

Reducing,

 1      2x-14
--- = -----------  =>  60 = 6x - 42
 3          60

Then 18 = 6x, and x = 3 (answer)
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Find the value of x in the parallelogram
lord [1]

Answer:

72 = x

Step-by-step explanation

154 is one of the degrees for that angle. And I seen 82 for the other one.

All you have to do is subtract 154 and 82 and you get 72.

8 0
3 years ago
Z^2 - x; use x = 1, and z = 3
elena55 [62]

Answer:

8

Step-by-step explanation:

3^2 = 9 - 1 = 8

6 0
3 years ago
An important assumption underlying inferences from a linear regression is that variance in the response variable is reasonably c
rewona [7]

Answer:

A. True

Step-by-step explanation:

Linear regression is "an analysis that assesses whether one or more predictor variables explain the dependent (criterion) variable.  The regression has five key assumptions:

1) Linear relationship : We need to check if the dependnet variable present a linear relationshipThe linearity assumption can best be tested with scatter plots in order to check if we have outliers in the data.

2) Multivariate normality : "The linear regression analysis requires all variables to be multivariate normal".  And we can check this with a histogram or a Q-Q-Plot, usually Normality can be checked with a goodness of fit test like the Kolmogorov-Smirnov test or Shapiro Wilks test.

3) No or little multicollinearity : "Multicollinearity occurs when the independent variables are too highly correlated with each other". And we can check this with a correlation matrix, variance inflation factor (VIF's), correlation index and other statistics.

4) No auto-correlation : The "Autocorrelation happens when the residuals are not independent from each other in the data". And usually we can test this with the Durbin-Watson test.

5) Homoscedasticity: MEans that we need constant variance for the linear model. The scatter plot is good way to check whether the data are homoscedastic. And we can interpret this condition as "that variance in the response variable is reasonably consistent across the range of an explanatory factor (otherwise known as homoscedasticity)"

So then the statement is TRUE.

5 0
3 years ago
Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).
Setler79 [48]

Answer:

\Huge \boxed{3a+4}

Step-by-step explanation:

The function is given.

f(x)=3x+1

To find :  f(a+1)

The input for the function f(x) is (a + 1).

Replace x with (a + 1).

f(a+1)=3(a+1)+1

Expand brackets.

f(a+1)=3a+3+1

Simplifying.

f(a+1)=3a+4

3 0
3 years ago
Which equation is correctly rewritten to solve for x?<br><br> x/r - s = t
wolverine [178]

Answer:

x = r(t + s)               (second option)

Step-by-step explanation:

First add s to both sides and get x/r = t + s.

Then mutiply both sides by r to separate x and this is the final equation:

x = r(t + s)

5 0
3 years ago
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