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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The veretx is normally the minimum value
hack:
for f(x)=ax²+bx+c
the x value of the vertex is -b/2a
so
f(x)=1x²-16x+71
x value is -(-16)/(2*1)=16/2=8
find f(8) to find y value of vertex
f(8)=8²-16(8)+71
f(8)=64-128+71
f(8)=7
the vertex is (8,7)
the minimum value is 7
Answer:
1/7
Step-by-step explanation:
The probability that the Captain hits is \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction.
The probability that the pirate hits is \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction.
1/2 x 2/7 = 1/7
Answer:
81x^4
Step-by-step explanation:
Apply the product rule to 3x
3^4x^4
Raise 3 to the power of 4
81x^4
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