Answer:
b = 3
Step-by-step explanation:
the 2 indicated angles form a right angle and sum to 90° , that is
8b + 7 + 59 = 90
8b + 66 = 90 ( subtract 66 from both sides )
8b = 24 ( divide both sides by 8 )
b = 3
Answer:
The new values are as follows:
Mean: 134
Median: 129
Mode: 121
Range=45
Standard Deviation=3.6
Step-by-step explanation:
When a k real number is added to all the elements of the dataset, the new measures of center (mean, median, and mode) are simply found by adding the value k to the previous values. Thus

Here
is 109 and k is 25 thus

Similarly

Here
is 104 and k is 25 thus

Also

Here
is 96 and k is 25 thus

When a k real number is added to all the elements of the dataset, the new measures of variation (range and standard deviation) remain the same thus.

Similarly

So the new values of mean, median, mode, range, and standard deviation are 134, 129, 121, 45, and 3.6 respectively.
You are asking for the condition needed for the
<span>two segments to be perpendicular to each other. </span>
<span>If the slope of one segment is m, then the slope of a perpendicular segment would be -1/m </span>
<span>this means that m2 = -1/m and so m2 x m = -1 </span>
<span>If you look carefully at your choices, the 3rd answer involves the two slope and has the -1. It's </span>
<span>the correct answer.</span>