9514 1404 393
Answer:
distributive property
Step-by-step explanation:
The <em>distributive property</em> of multiplication over addition lets you expand the product in the manner shown.
1. P = 2(9) + 2(4.5)
P = 18 + 9
P = 27 m
2. P = 5.2(2) + 1.3(2)
P = 10.4 + 2.6
P = 13 ft
3. P = 12.9(2) + 4.7(2)
P = 25.8 + 9.4
P = 35.2 cm
The complete proof statement and reason for the required proof is as follows:
Statement Reason
m<PNO = 45 Given
MO Given
<MNP and <PNO are a
linear pair of angles Definition of linear pairs of angles
<MNP and <PNO are
supplementary angles Linear Pair Postulate
m<MNP + m<PNO = 180° Definition of supplementary angles
m<MNP + 45° = 180° Substitution property of equality
m<MNP = 135° Subtraction property of equality
Answer:
Step-by-step explanation:
GH bisects ∠FGI
∠HGI = ∠HGF
4x - 14 = 3x - 3
4x = 3x - 3 + 14 {Add 14 to both sides}
4x = 3x + 11 {Subtract 3x from both sides}
4x - 3x = 11
x = 11
∠HGI = 4x - 14
= 4*11 - 14
= 44 - 14
= 30°
∠FGI = 30 + 30
= 60°
Answer:
<h2><u><em>
x = 2</em></u></h2>
Step-by-step explanation:
Find the value of x.
5+x=7
x = [?]
5 + x = 7
x = 7 - 5
<u><em>x = 2</em></u>
----------------check
5 + 2 = 7
7 = 7
the answer is good