The table to complete the proof is as follows
Equation statement
1. m∠ABD = 60°, m∠DBC=40° Given
2. m∠ABD + m∠DBC = m∠ABC Angle Addition Postulate
3. 60° + 40° = m∠ABC Substitution Property of Equality
4. 100° = m∠ABC Simplifying
5. ∠ABC is an obtuse angle. greater than 90 degrees
6. △ABC is an obtuse triangle. Definition of obtuse triangle
<h3>What is obtuse angles?</h3>
When an angel is greater than 90 degrees the angle is said to be an obtuse angle.
For the question solved here m∠ABC is greater than 90 degrees hence an obtuse angle.
Read more on angles here: brainly.com/question/25716982
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Answer: As GH moves, the reflected image changes its position with respect to the position of the line. The polygons will touch one another if the line of reflection touches polygon ABCD.
Answer:
91 used
65 new
Step-by-step explanation:
7 + 5 = 12
156/12 = 13
7(13) = 91
5(13) = 65
Answer:0.8413
Step-by-step explanation:
Mean= 188, Std Dev. =20.8, Z=(x-mean)/Std Dev
P(X less than 167.2)= P(Z less than (167.2-188)/20.8)
=P(Z less than (-20.8/20.8))
=P(z less than -1)= P(Z less 1)
The value of 1 in the normal distribution table is 0.3413
So we add 0.5 to 0.3413 =0.8413
The answer would be 224 pages!