If triangle abc is similar to triangle edc find the value of x

x = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

= , substitute values

= ( cross- multiply )

56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides

168x - 280 = 160x - 160 ( subtract 160x from both sides )

8x - 280 = - 160 ( add 280 to both sides )

8x = 120 ( divide both sides by 8 )

x = 15

Association between the variables and yes.

Step-by-step explanation:

Given that researchers recorded the temperatures at The Fashion Mall at Keystone in Indianapolis during 40 random days in November and December 2013, then again in June and July 2014

For these same days, they recorded the mall sales. The correlation coefficient between these variables was -0.884

The test was done and significant at 1% level

a) the correlation coefficient is the strength of association between the two. Here we have strong negative correlation between the two variables.  If correlation coefficient absolute value is nearer to 1, we say strong.

b) Yes .  The lower the temperature the higher is the sales this is because of strong negative correlation.