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Anastasy [175]
3 years ago
12

A cell phone plan costs ​$27.90 per month for 400 minutes of talk time. It costs an additional ​$0.06 per minute for each minute

over 400 minutes. To get​ e-mail access, it costs 20​% of the price for 400 minutes of talk time. Your​ bill, which includes​ e-mail, is the same each month for 6 months. The total cost for all 6 months is ​$226.44. Write and solve an equation to find the number of minutes of talk time you use each month. Let m represent the number of minutes over 400 minutes each month. Which equation represents the given​ situation?
Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0

Answer:$55

Step-by-step explanation:

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3 years ago
Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.
kolbaska11 [484]

Answer:

See explanation

Step-by-step explanation:

Triangles ΔABC and ΔBAD are congruent. So,

  • AB ≅ BA;
  • AC ≅ BD;
  • BC ≅ AD;
  • ∠ABC ≅ ∠BAD;
  • ∠BCA ≅ ∠ADB;
  • ∠CAB ≅ ∠DBA.

Consider triangles AEC and BED. In these triangles,

  • AC ≅ BD;
  • ∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
  • ∠AEC ≅ ∠BED (as vertical angles).

So, ΔAEC ≅ ΔBED. Thus,

AE ≅ EB.

This means that segment CD bisects segment AD.

6 0
4 years ago
The perimeter of a rectangle table is 680 cm if the length of the table is 24 cm more than the race the width of the table find
postnew [5]

Answer:

Length is 182 cm and width is 158 cm.

Step-by-step explanation:

Given:

Perimeter of rectangle table = 680 cm.

Let the width of the table be x.

Now according to given length of the table is 24 cm more than the race the width

hence length = 24+x.

But perimeter of rectangle = 2(length+width)

Substituting the values we get;

2(24+x+x)=680\\24+2x=\frac{680}{2}\\\\24+2x=340\\2x=340-24\\2x=316\\\\x= \frac{316}{2}=158 \ cm

Hence width = 158 cm

Now, length = 24 cm + width = 24 cm + 158 cm = 182 cm

Hence the dimension of table are 182 cm and 158 cm.

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Answer:

{ \tt{from \: sine \: rule : }} \\ { \bf{ \frac{ \sin(A) }{A}  =  \frac{ \sin(B) }{B} }} \\  \\ { \bf{ \frac{ \sin(34 \degree) }{x}  =  \frac{ \sin(27 \degree) }{11} }} \\  \\ { \bf{x =  \frac{11 \times  \sin(34 \degree) }{ \sin(27 \degree) } }} \\  \\  { \tt{x = 13.5}}

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Qual é a area de um tirangulo escaleno cuja medidas são x,2x,3x?com calculo
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E area de um triangulo escaleno e 3, de acordo com minhas notas.
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