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diamong [38]
3 years ago
13

Sue bought 2 pairs of jeans and a belt that cost $6.95. The tax on the items was $5.85. Sue paid the cashier $70.00. How much mo

ney did Sue receive in change? Write you answer in a complete sentence.
Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

Answer: Sue's change will be $57.20

Step-by-step explanation:

Sue bought 2 pairs of jeans and a belt for $6.95.

Sue also paid a tax of $5.85 for the items.

Sue gave the cashier $70, her change will therefore be:

= 70 - 6.95 - 5.85

= $57.20

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Answer:

The values of x that make the triangles congruent.

x = 6 and x = 3

Step-by-step explanation:

Given

  • AC = 5x-2
  • DC = 3x+10
  • AB = 5x
  • DB = 4x+3

Given that the triangles are congruent.

According to the SAS (Side-Side-Side)

AC = DC

AB = DB

so

AC = DC

substituting AC = 5x-2 and DC = 3x+10

5x-2 = 3x+10

5x-3x = 10+2

2x = 12

divide both sides by 2

2x/2 = 12/2

x = 6

and

AB = DB

substituting AB = 5x and DB = 4x+3

5x = 4x+3

5x-4x = 3

x = 3

Therefore, the values of x that make the triangles congruent.

x = 6 and x = 3

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Determina la suma de las siguientes progresiones los primeros 18 términos de la progresión aritmética: an = -{4, 12, 20, 28, 36,
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Hello,
let
t=(-4)+(-12)+(-20)+(-28)+(-36)+....=-(4+12+20+28+36+...)=-s

a_{1}=4=-4+1*8
a_{2}=12=-4+2*8
a_{3}=20=-4+3*8
a_{4}=28=-4+4*8

...
a_{18}=?=-4+18*8=140

a_{i}=-4+i*8

s=\sum_{i=1}^{18} (-4+i*8)=\sum_{i=1}^{18} (-4)+\ 8*\sum_{i=1}^{18}(i)\\\\=(-4)*18+8*(1+2+3+4...+18)\\\\=-72+\frac{(1+18)*18}{2}\\\\=-72+171=99

\boxed{\ t=-99}















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