The statements that are true are:
A. m<AGB = 19°
D. <BGD is a right angle
<h3>What is a Right Angle?</h3>
A right angle is an angle that measures 90 degrees.
Given the diagram, where:
m<AGC = 38°,
m<CGD = 71°,
m<FGC = 147°
We have the following measures:
1/2(m<AGC) = m<AGB
1/2(38) = 19°
m<CGD + m<AGC = m<BGD
Substitute
71 + 19 = m<BGD
90 = m<BGD
m<BGD = 90° [this is a right angle].
Therefore, the statements that are true are:
A. m<AGB = 19°
D. <BGD is a right angle
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Imx->0 (asin2x + b log(cosx))/x4 = 1/2 [0/0 form] ,applying L'Hospital rule ,we get
= > limx->0 (2a*sinx*cosx - (b /cosx)*sinx)/ 4x3 = 1/2 => limx->0 (a*sin2x - b*tanx)/ 4x3 = 1/2 [0/0 form],
applying L'Hospital rule again ,we get,
= > limx->0 (2a*cos2x - b*sec2x) / 12x2 = 1/2
For above limit to exist,Numerator must be zero so that we get [0/0 form] & we can further proceed.
Hence 2a - b =0 => 2a = b ------(A)
limx->0 (b*cos2x - b*sec2x) / 12x2 = 1/2 [0/0 form], applying L'Hospital rule again ,we get,
= > limx->0 b*(-2sin2x - 2secx*secx.tanx) / 24x = 1/2 => limx->0 2b*[-sin2x - (1+tan2x)tanx] / 24x = 1/2
[0/0 form], applying L'Hospital rule again ,we get,
limx->0 2b*[-2cos2x - (sec2x+3tan2x*sec2x)] / 24 = 1/2 = > 2b[-2 -1] / 24 = 1/2 => -6b/24 = 1/2 => b = -2
from (A), we have , 2a = b => 2a = -2 => a = -1
Hence a =-1 & b = -2
Slope form y2-y1 / x2-x1 = m
20 - 9 = 11
12 - 4 = 9
The slope of the line is 11/9
Answer:
Step-by-step explanation:
mean = sum of data / no of data
20 + 58 + 74 + 77 + 77 + 85 + 86 + 90 + 95 + 98 / 10
760 / 10
76
to find median u should arrange the data from ascending to descending order.
since the given data is already arranged u dont need to change.
median = (N + 1)/2 (N means no of data)
=10 + 1 / 2
=11 / 2
=5.5
= 5 th term + 6 th term /2
=77 + 85 /2
=162 / 2
=81
mode means most repeating number . so in this given data 77 is repeated two times while others occured just one times . so the mode of the given data is 77.
Mode = 77
Answer:
Step-by-step explanation:
