Answer:
See below.
Step-by-step explanation:
We know that and we want to prove that .
Statements Reasons
1) Given
2) A) Vertical Angles Are Congruent
3) B) Substitution Property
4) C) Alternate Interior Angles Converse*
*We know that alternate interior angles are congruent when two parallel lines are cut by a transversal. So, the converse states that if the two alternate interior angles are congruent, the the two lines must be parallel.
Further Notes:
I'm not sure why they did more than necessary. Since , they are corresponding angles. Then by the Corresponding Angles Converse, p must be parallel to r.
<h3>
Answer: 3 bottles of brand A</h3>
Explanation:
The pricing/cost information is not used in this problem. All we care about is the number of bottles, and how much each bottle can hold.
Brand A bottles hold 0.95 liters each. We bought 3 of these bottles, so 3*0.95 = 2.85 liters in total are purchased.
Brand B bottles hold 0.55 liters each. Buying 5 of them leads to 5*0.55 = 2.75 liters in total.
Going with the brand A option leads to more juice by 0.10 liters (subtract 2.85 and 2.75)
Answer:
1.74700 kilometers
Step-by-step explanation:
Answer:
Therefore, the constant multiple of liters in jug to the weight in kilogram is 0.62(approx)
Step-by-step explanation:
Given, Madison is carrying a 11.3 liter jug of sport drink that weights 7 kg.
Let the constant term be x
According to the problem,
11.3 × x = 7
⇔
⇔x = 0.62
Therefore, the constant multiple of liters in jug to the weight in kilogram is 0.62(approx)
Y = 5x + 2
<span>y - 2 = 5x </span>
<span>x = (y - 2) / 5 </span>
<span>So the inverse of h(x) is (x - 2) / 5 </span>
<span>Try it. Let x = 1 </span>
<span>h(1) = 5 * 1 + 2 = 7 </span>