<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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We can break this complicated looking shape into two more familiar ones, an icosoles triangle and a rectangle. Using the area of a triangle formula (base*height)/ 2, we get (3*6)/2=18/2= 9. Next, we multiply 8 by 16 to solve for the rectangle and get 128. We add 9 and 128 to get 137.
Your answer is 137.
You didn't share the price list of the items... but together they have $12.00
Here is an example of how to do it⬇️
Set variables for the quantities we want to find.
Let x = number of apples
Let y = number of oranges
Next, we use these variables to write equations that describes the whole story.
Since the total price is $7.75 and each type of fruit has their own price, we can say
0.40x + 0.35y = 7.55
The other equation will represent the total number of fruits bought all together, as Mark mentioned. Once you have those equations, you solve the system using substitution and elimination methods to solve for the variables x and y.
(If x represents the number of peaches purchased and y represents the number of mangos purchased)
Sorry if this isn’t good explanation but I tried sorry goodluck!
It should be 17, 26, 35, 44, 53
