Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is 
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Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)
Generic slope intercept form of a line is given by y = mx + c
where "m" = slope of the line and "c" is the y - intercept
Let’s first find slope intercept form of 2x+3y=-8 to get slope of line
On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,
We know that slopes of parallel lines are always equal
So the slope of line passing through (2, -2) is also 
Equation of line passing through 
and having slope of m is given by
Substituting the values in equation of line we get
Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as
Answer: A. m∠6 = 55°
C. m∠1 + m∠4 = 250°
D. m∠1 + m∠6 = m∠7 + m∠4
Step-by-step explanation:
Answer:
arrange 3+4=5
Step-by-step explanation:
because 3 square = 9 and 4 square =16 and their sum is 25 and the square of 5 is 25 . both are same .
Hence proved
Complete question :
The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.
Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?
Answer:
21 runners
Step-by-step explanation:
Mean, μ = 13 seconds
Standard deviation, σ = 0.3
Lana's race time = 13.2
We find the proportion of runners who had race time above 13.2 ;
Proportion of who had race tune above 13.2
P(x > 13.2)
Obtain the Zscore
Zscore = (x - μ) / σ
Z = (13.2 - 13) / 0.3
Zscore = 0.2 / 0.3 = 0.6667
P(Z > 0.6667) = 0.25239 (Z probability calculator)
This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)
Hence, Number of runners Lana beat = 25% of total runners ;
0.25 * 84 = 21
Hence, Lana beat about 21 runners
