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solmaris [256]
3 years ago
10

EXTRA POINTS PLEASE HELP I'LL GIVE BRAINLIEST Please write a 2 column proof :)

Mathematics
1 answer:
lidiya [134]3 years ago
7 0

Answer:

Step-by-step explanation:

1). segment AB ≅ segment AE ......... 1). Given

2). ΔBAE is isosceles .............. 2). Definition of isosceles Δs

3). ∠ABC ≅ ∠AEB ............. 3). Corollary to isosceles Δs theorem

4). segment BG ≅ segment EF ........ 4). Definition of midpoints

5). segment BC ≅ segment ED ......... 5) Given

6). segment CD ≅ segment DC ....... 6). Reflexive property

7). segment BD ≅ segment EC ........ 7). Property of sum of equals parts

8). ΔBGD ≅ Δ EFC ............... 8). SAS postulate

9). ∠1 ≅ ∠2 ............ 9). Corresponding parts of congruent Δs

10). ΔCHD is isosceles ............ 10). Corollary to isosceles Δs theorem

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On a certain hot summer day, 481 people used the public swimming pool. The daily prices are 1.25 for children and 2.25 for adult
spayn [35]

Answer:the number of children that swam in the public pool that day is 222

the number of adult that swam in the public pool that day is 259

Step-by-step explanation:

Let x represent the number of children that swam in the public pool that day.

Let y represent the number of adult that swam in the public pool that day.

On a certain hot summer day, 481 people used the public swimming pool. This means that

x + y = 481

The daily prices are 1.25 for children and 2.25 for adults. The receipts for admission totaled to 86.25. This means that

1.25x + 2.25y = 860.25 - - - - - - - -1

Substituting x = 481 - y into equation 1, it becomes

1.25(481 - y) + 2.25y = 860.25

601.25 - 1.25y + 2.25y = 860.25

- 1.25y + 2.25y = 860.25 - 601.25

y = 259

Substituting y = 259 into x = 481 - y, it becomes

x = 481 - 259

x = 222

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