Answer:200
Step-by-step explanation:
Question 1:
Statement Reasons
m∠ABD + m∠DBC = m∠ABC Angle addition postulate
60° + 40° = m∠ABC Substitution Property of equality
100° = m∠ABC Simplpifying
∠ABC is an obtuse angle Definition of obtuse angle
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Question 2:
Statement Reasons
AC = BD Given
AC = BC + BD Segment addition postulate
AB + BC = BC + CD Addition property of equality
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Question 3:
Angle congruence postulate
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Question 4:
Segment congruence postulate
Answer:
C) (x-6)^2
Step-by-step explanation:
x2 - 12x+36
What two numbers multiply to 36 and add to -12
-6*-6 = 36
-6+-6 = -12
(x-6) (x-6)
(x-6)^2
Answer:
7.5 metres
Step-by-step explanation:
The formula for the area of a parallelogram is Area = base x height.
In the problem, you are given the base, which is 9.44 metres, and the area, which is 70.8 square metres.
When you plug everything into our area formula, you should get:
70.8 = 9.44 x height
To solve for height, you would divide both sides by 9.44.
70.8 ÷ 9.44 = height
7.5 = height
Don't forget your units, which is <u>metres</u>!
height = 7.5 metres
Answer:
16,20
Step-by-step explanation:
As shown, you add four by each.
4+4=8
8+4=12
So, 12+4=16
16+4=20
