20) Answer is: x=76
21) Answer is x=15
Company A charges a $125 annual fee plus $7 per hour car share fee.
Company B charges $110 plus $10 per hour. The minimum number of hours that a car share needs to be used per year to make company A a better deal is 6 hours.
A: y=125+7 x
B: y=110+10 x
for A to be a better deal than B, 125+7 x<110+10 x has to be true
subtract 7x from both sides and subtract 110 from both sides of the inequality: 15<3 x
divide by 3: 5<x
so x has to be greater than 5 , im pretty sure it's 6 hours but it might also be 5 depending on how it's taught for you.
Equations are not always balanced on both sides using a "equal to" symbol in mathematics. Sometimes it can be about a "not equal to" relationship, meaning that something is superior to or inferior to another. In mathematics, an inequality is a relationship between two numbers or other mathematical expressions that results in an unequal comparison. Inequalities are the name given to certain algebraic mathematical expressions.
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Answer:
Denpeds on the left hand side of nagetive of the inequality sign
Step-by-step explanation:
Given:
AD is the bisector of ∠BAC
∠CPD = ∠BPD
1) ∠CAP = ∠BAP
Reason: definition of angle bisector
2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB
Reason: definition of supplementary angles
3) 180 − ∠APC = 180 − ∠APB
Reason: substitution
4) ∠APC = ∠APB
Reason: algebra
5) AP = AP
Reason: reflexive property
6) ΔAPC ≅ ΔAPB
Reason: ASA congruence
