Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of hours Kelly works for her dad per week and y represent the number of hours Kelly works in the daycare center per week.
Since she wants to make $84 per week, hence:
8x + 14y ≥ 84 (1)
Also, she can work a maximum of 10 hours per week, hence:
x + y ≤ 10 (2)
Using equation 1 and 2 and plotting the constraints on geogebra online graphing tool, the solution to the problem is at points:
A(0, 6), B(0, 10) and C(9.3, 0.7)
Answer:
1.As BC = EF is a given statement in the question
2.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
3.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.
4. 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.
STATEMENT REASON
___________________________________________________
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
X=tax
240+x
that would be your answer i believe
Yes to both, and for future help, if you find a common denominator(the bottom one) by multiplication and one is higher, boom you have your answer.
