<em>Answer:</em>
Complete proof is written below.
Facts and explanation about the segments shown in question :
- As BC = EF is a given statement in the question
- AB + BC = AC because the definition of betweenness gives us a clear idea that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC. Also according to Segment addition postulate, AB + BC = AC. For example, if AB = 5 and BC= 7 then AC = AB + BC → AC = 12
- AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB. So, if we observe the question figure, we can realize that point B lies on the segment AC between points A and C.
- AC > EF because BC is equal to EF and if AC>BC, then it must be true that the length of AC must greater than the length segment EF.
Below is the complete proof of the observation given in the question:
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<em>STATEMENT REASON </em>
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1. BC = EF 1. Given
2. AB + BC = AC 2. Betweenness
3. AC > BC 3. Def. of segment inequality
4. AC > EF 4. Def. of congruent segments
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<em>Keywords: statement, length, reason, proof</em>
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#1. 5(t+3)=-10
5t+15=-10
5t=-25
t=-5
#2. -(c-10)=0
-c+10=0
c=10
#3. -10(s+3)=-15
-10s-30=-15
-10s=15
s=-3/2
#4. 5(f-5)=-60
5f-25=-60
5f=-35
f=-7
#5. -5(2t+2)=-70
-10t-10=-70
-10t=-60
t=6
#6. 4(3w+2)/3=-6
12w+8=-18
12w=-26
w=-13/6
#7.Substitute the °C with -8
Equation:
5/9(F-32)=-8
divide both sides by 5/9
F-32= -14.4
add 32 to both sides
F=17.6
Answer: -8°C in °F is approximately 18°F.
BTW, to get the degree sign, it's option+shift+8.
Answer:
0.75
Step-by-step explanation:
Given a geometric sequence: 
The common ratio is derived by dividing any next term by the preceeding term.
That is:

In the geometric sequence: 4,3,9/4
Common ratio, 
The common ratio of the given geometric sequence is 0.75.
Answer:
e0
Step-by-step explanation:
Answer:
y=3x+5
Step-by-step explanation:
See attached image