The measure of ∠E will be equal to 38°.
Given,
m∠BFE = 118° and m∠C = 86°
And BF bisects ∠ABD
From the Property of Linear Pair,
∠AFB + ∠BFE = 180°
=> ∠AFB + 118° = 180°
=> ∠AFB = 62°
Now, we can see that ∠AFB and ∠FBD are equal because they are alternate angles.
And ∠FBD and ∠ABF are equal because BF bisects ∠ABD.
So, In ∆ABF,
∠AFB + ∠ABF + ∠BAF = 180° (because of the angle sum property of a triangle)
=>62° + 62° + ∠BAF = 180°
=>∠BAF = 180° - 124°
=> ∠BAF = 56°
Similarly, in ∆ABE,
∠A +∠C +∠E = 180°
=> 56° + 86° + ∠E = 180°
=> ∠E = 38°
Therefore, m∠E = 38°.
Learn more about Angles of Triangle at
brainly.com/question/28736528
Answer:
The type of error that the sociologist has made when he fails to reject the null hypothesis when it is false (and thus should have rejected it) is a:
c) Type II error.
Step-by-step explanation:
In Statistics, Type II error is made when the null hypothesis is accepted when it is not true (false). The sociologist should have rejected the null hypothesis, but he fails to reject it. He has, therefore, made a Type II error. It is also called a "false negative." On the other hand, a Type I error is committed when the sociologist rejects the null hypothesis when he should have accepted it. A Type I error is also called a "false positive."
<span>speed=distance/time
</span><span>time = distance/speed
</span>Keep distance and speed in cm and cm/sec
Meters x 100 = cm time
<span>= 50 m X 100/ 1 = 5000 secs </span>
<span>= 5000/60 mins = 83 1/3 mins </span>
<span>1/3min = 20 sec.
</span>So 83 1/3 mins
<span>= 1 Hr 23 Min and 20 Secs</span>
Step-by-step explanation:
Let Angle C be x
So angle B will be 5x
Since they both are complementary, we can come up with this equation.
x+5x=90 degrees
6x=90 degrees
x=90/6,x=15
Measures of Angles
Angle C=x=15 degrees
Angle B=5x=5*15=75 degrees
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