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Scorpion4ik [409]
2 years ago
14

Felecia left her home to visit her daughter, driving 45mph. Her husband waited for the dog sitter to arrive and left home 20 min

utes, or 13 hour later. He drove 55mph to catch up to Felecia. How long before he reaches her?
Mathematics
1 answer:
Jet001 [13]2 years ago
8 0

Felecia's husband will catch up to her 1 hour 30 minutes after leaving.

Step-by-step explanation:

Step 1; Felecia is traveling at 45 mph, her husband starts 20 minutes after her but travels at a speed of 55 mph. So first we need to calculate how much of a head start Felecia got.

Head start = \frac{1}{3} × 45 miles an hour = 15 miles.

So Felecia got a head start of 15 miles.

Step 2; Since Felecia and her husband are traveling at different rates, we can determine how much distance there is between them. Since Felecia is traveling at 45 mph and her husband is traveling at 55 mph, their gap in between is closing at a rate of 55 - 45 = 10 miles every hour. So for every hour, the gap between them is closing by 10 miles.

Total gap initially = 15 miles.

The rate at which gap is being closed = 10 miles an hour.

Time to close the gap = 15 / 10 = 1.5 hours.

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Answer:

∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.

Step-by-step explanation:

1. AB=6 units

YZ=3 units

BC=8 units

XY=4 units, then

\dfrac{AB}{ZY}=\dfrac{BC}{YX}=2

2. \angle B and \angle Y are right angles - given

3.  \angle B\cong \angle Y two right angles are always congruent.

4. \triangle ABC\sim \triangle ZYX by SAS similarity theorem.

SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

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1 year ago
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Minchanka [31]

Answer:

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Explanation:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.

For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.

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2 years ago
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avanturin [10]
Simplifying –8.3 + 9.2 – 4.4 + 3.7.

Identify and explain any errors in his work or in his reasoning

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Additive inverse 2. −8.3 + 4.4 + 9.2 + 3.7 (error, not additive inverse; +3-3=0)

Commutative property 3. −8.3 + (4.4 + 9.2 + 3.7)

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2 years ago
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Question 1(Multiple Choice Worth 2 points)
earnstyle [38]
These are 3 questions and 3 answers.

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\lim_{x \to \ 2^+} f(x)

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Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.

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Answer:

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