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denis-greek [22]
3 years ago
5

Tina pet sits to earn extra money. She charges a flat service fee of $20, plus $20 per day. If one of her customers spent less t

han $80, which of the following inequalities could be used to solve for x, the number of days the customer paid for pet sitting?
$20x + $20 < $80
$20x < $80
$20x - $20 < $80
$20x < $100
Mathematics
1 answer:
77julia77 [94]3 years ago
6 0
The formula for the total amount costumers pay is 20x+20 because 20* the number of days is 20x and then you have to add the 20 dollars for the service fee. The costumer paid less than 80 dollars so 20x+20, which is what the costumer paid, is less than 80. The answer is $20x+$20<$80.
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Given that SQ⎯⎯⎯⎯⎯ bisects ∠PSR and PS⎯⎯⎯⎯⎯≅SR⎯⎯⎯⎯⎯, which of the following triangle congruence statements can be used to prove
Novay_Z [31]

The congruency proof that can be used to show that ∠P≅∠R is as given in the steps below.

<h3>How to prove Triangle Congruence?</h3>

From the figure as seen online, we can see that;

The figure shows the same triangles PQS and RQS as in the beginning of the task. Angles SPQ and SRQ are highlighted in red.

Thus, the 2 column proof to show that ∠P≅∠R is;

Statement 1; ∠SPQ≅∠SRQ

Reason 1; Given

Statement 2; SQ bisects ∠PSR

Reason 2; Given

Statement 3; ∠PSQ≅∠QSR

Reason 3; Definition of angle bisector

Statement 4; SQ ≅ SQ

Reason 4; Reflexive Property of Congruence

Statement 5; △PQS≅△RQS

Reason 5; Angle - Angle Side (AAS) Congruency Postulate

Statement 6; PS ≅ SR

Reason 6; CPCTC (Corresponding parts of congruent triangles are congruent)

Read more about Triangle Congruence at; brainly.com/question/7727792

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4 0
2 years ago
If there are 214 student in school and 81 get cookies 74 get ice cream how many get cake?
Korvikt [17]
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Please help me with this problem if you can! Thank you.
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Every female bear has 3 baby cubs. What is the constant of proportionality for the ratio of cubs to female bears? (4 points)
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Step-by-step explanation:

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Use trigonometry to resolve the following vectors into components. Describe the vectors using vector
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Answer:

  v ≈ (3.28512, 20.74146)

Step-by-step explanation:

  v = 21(cos(81°), sin(81°))

  v ≈ (3.28512, 20.74146) . . . . (x, y) components

The notation varies among authors. The vector can be written as ...

  (r, θ) = (21, 81°)

  r∠θ = 21∠81°

  r cis θ = 21 cis 81°

  v = 21·e^(i·9π/20)

  (x, y) ≈ (3.28512, 20.74146)

  v =  3.28512i +20.74146j . . . . perhaps this is the vector notation you want (i and j are unit vectors in the x- and y-directions, respectively)

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