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den301095 [7]
3 years ago
11

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?a) $20x + $20 < $80b) $20x < $80c) $20x - $20 < $80d) $20x < $100
Mathematics
1 answer:
Sloan [31]3 years ago
3 0

Answer:option A is the correct answer.

Step-by-step explanation:

Let x represent the number of days the customer paid for pet sitting.

She charges a flat service fee of $20, plus $20 per day. This means that the total amount that she charges for x hours would be

20 + 20x

If one of her customers spent less than $80, then the inequality that could be used to solve for x would be

$20 + $20x < $80

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H and J are both between G and K such that GH = JK and H is between G and J.
DIA [1.3K]

Answer:

32

Step-by-step explanation:

So the order of the points is: GHJK

GH = x+10 =JK

HJ=8

JK=2x-4

JK = x+10=2x-4

x+10=2x-4

10+4=2x-x

x=14

GH= 14+10 =24

GJ = GH +HJ = 24+ 8=32

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3 years ago
Please solve these questions for me. i am having a difficult time understanding.
s2008m [1.1K]

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

1)

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

\angle AED = \angel BEC ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

2)

Refer the attached figure

\angle ABC = 90^{\circ}

In ΔDBC

BC=DC (Given)

So,\angle CDB=\angle DBC(Opposite angles of equal sides are equal)

So,\angle CDB=\angle DBC=x

So,\angle CDB+\angle DBC+\angle BCD = 180^{\circ} (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So,\angle CDB=\angle DBC=x = 65^{\circ}

Now,

\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90

So,\angle ABD=90-x=90-65=25^{\circ}

In ΔABD

AB = BD (Given)

So,\angle BAD=\angle BDA(Opposite angles of equal sides are equal)

So,\angle BAD=\angle BDA=y

So,\angle BAD+\angle BDA+\angle ABD = 180^{\circ}(Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

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jasenka [17]

Answer:

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13 - 3z = 15z + 4

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