Answer:
Given: 
, 
, 
, 
formed by two intersecting segments.
In the given figure;
Linear pair states that a pair adjacent angle formed when two lines intersect.
Then by definition of linear pairs,
and forms a linear pair
Also, and forms a linear pair.
Linear pair postulates states that the two angle that forms a linear pair are supplementary(i,e add up to 180 degree).
Then by linear pair postulates;
and
Substitution property of equality states that if x =y then, x can be substituted in for y or vice -versa.
then by substitution property of equality:
Addition property of equality states that:
if x =y, then x + z = y+ z
By addition property of equality:
hence proved!
The slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.
Step-by-step explanation:
If the line is passing through two points (x1, y1) and (X2, y2). The slope (m) can be calculated using following formula.
In this case,
x1 = 5
x2 = 7
y1 = 80
y2 = 65
By putting the values in formula, we get
or
m = -7.5
Therefore, the slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.
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All you have to do is you only need to evaluate the given equation which is:100 + 20m where m would be the number of minutes = 5 1/4 minutes
100 + 20 (5 1/4)
= 100 + 105
= 205 cubic liters is the volume of water in Marcel’s pool after he fills it.
Answer:
Veronica's age now =8 years
Step-by-step explanation:
Veronica's age now = x years
Georgia's age now = 5x - 7
Veronica age after 6 year = 14
x + 6 = 14
x = 14 - 6
x = 8 years
