<em><u>The slope of HI is 1/2
</u></em>
<em><u>
The slope of EF is 1/2</u></em>
<em><u>Solution:</u></em>
Given that,
Triangle DEF is congruent to right triangle GHI
Which means,
These pairs of angles are congruent
{D, G}, {E, H}, and {F, I}
In triangle DEF, E is a right angle
This means that the line segments are perpendicular.
We know that,
Product of slope of a line and slope of line perpendicular to that line is equal to -1
Given that,
Slope of DE = -2
Since the sides EF and HI are congruent,
Slopes of parallel lines are equal
Thus, Slope of HI is 1/2
Answer:
Angles in ascending order:
Q, R, S
Step-by-step explanation:
The side with the biggest number also has the biggest angle degree. The side with the smallest number also has the smallest angle degree.
To find the median, order the numbers in the data set from least to greatest (or greatest to least, either one works) and then find the number in the middle. If there are 2 numbers in the middle, find their mean.
Step 1: Ordering the numbers.
<span>Original: 100, 88, 76, 78, 92, 94, 84, 98, 82, 90
Ordered: </span>76, 78, 82, 84, 88, 90, 92, 94, 98, 100
Step 2: Find the median (middle number).
The median is the number in the center.
Count in from each side equally to find the middle number.
76, 78, 82, 84, 88, 90, 92, 94, 98, <span>100
</span>78, 82, 84, 88, 90, 92, 94, 98
82, 84, 88, 90, 92, 94
84, 88, 90, 92
88, 90
88 and 90 are the middle numbers.
Since there are 2 numbers in the middle, we must find their mean.
Step 3: Find the mean of the 2 middle numbers.
Mean is also known as average.
To find this, add up the numbers and then divide by the amount of numbers there are.
In this case, that means adding 88 and 90 then dividing their sum by 2.
This can be represented by the equation (88 + 90) ÷ 2.
88 + 90 = 178
178 ÷ 2 = 89
89 is the final answer, it is the median.
Answer:
The median of this data set is 89.
Hope this helps!
Select the correct answer. What is the mode of this data set? {41, 43, 45, 3, 11, 23, 24, 27, 29, 45, 12, 19, 22, 49, 25}
klemol [59]
The mode is the number in the set that appears the most.
In the given data set, the number 45 is listed twice while all the other numbers are only listed once.
The mode is 45.
Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Given g(x) = + 5
Then this is the graph of f(x) shifted vertically up by 5 units