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lozanna [386]
3 years ago
5

Andy is buying a car.

Mathematics
1 answer:
abruzzese [7]3 years ago
4 0

Answer:

The amount of car payed each month after 7% decrease in price is 503.75 unit

Step-by-step explanation:

Given as :

The initial price of car = 6,500  unit

The decrease rate = 7%

The time period = 1 year

So, Final value = Initial value × (1-\frac{Rate}{100})^{Time}

So, Final value = 6,500 × (1-\frac{7}{100})^{1}

Or, Final value = 6,500 × 0.93

Or, Final value = 6,045 unit

So, The price of car after 7% decrease is 6,045 unit

Now This amount will be paid in 12 equal monthly payment

So, The amount payed each month = \frac{6045}{12} = 503.75 unit

Hence The amount of car payed each month after 7% decrease in price is 503.75 unit  Answer

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4 years ago
What is the missing reason in Step 7? Triangle angle sum theorem quadrilateral angle sum theorem definition of complementary con
Daniel [21]

Answer:

Hello your question is incomplete attached below is the complete question

Given: wxyz is a parallelogram, zx ≅ wy prove: wxyz is a rectangle what is the missing reason in step 7? a. triangle angle sum theorem. b. quadrilateral angle sum theorem. c. definition of complementary. d. consecutive ∠s in a ▱ are supplementary. 1. wxyz is a ▱; zx ≅ wy 1. given 2. zy ≅ wx 2. opp. sides of ▱ are ≅ 3. yx ≅ yx 3. reflexive 4. △zyx ≅ △wxy 4. sss ≅ thm. 5. ∠zyx ≅ ∠wxy 5. cpctc 6. m∠zyx ≅ m∠wxy 6. def. of ≅ 7. m∠zyx + m∠wxy = 180° 7. ? 8. m∠zyx + m∠zyx = 180° 8. substitution 9. 2(m∠zyx) = 180° 9. simplification 10. m∠zyx = 90° 10. div. prop. of equality 11. wxyz is a rectangle 11. rectangle ∠ thm.

answer: consecutive angles of any parallelogram are supplementary

Step-by-step explanation:

The missing reason in step 7 is : consecutive angles of any parallelogram are supplementary i.e. m∠ZYX + m∠WXY  = 180°

<u>Reason </u>:  ZY || WX also  XY is the transversal line hence ∠wyx and ∠wxy are the consecutive angles on lines ZY and WX therefore m∠ZYX + m∠WXY = 180°  ( sum of consecutive angles )

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