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storchak [24]
3 years ago
6

Use the following diagram and information to complete the proof.

Mathematics
1 answer:
Rashid [163]3 years ago
6 0

Answer:

Given: ABCD is a rectangle.

Prove: The diagonals AC¯¯¯¯¯¯¯¯ and BD¯¯¯¯¯¯¯¯ are congruent.

Match each numbered statement to the correct reason to complete the proof.

PS : i will mark brainliest if they answer the question fully..

Step-by-step explanation:

Given: ABCD is a rectangle.

Prove: The diagonals AC¯¯¯¯¯¯¯¯ and BD¯¯¯¯¯¯¯¯ are congruent.

Match each numbered statement to the correct reason to complete the proof.

PS : i will mark brainliest if they answer the question fully..

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Felix and Oscar own a pastry shop. Working alone Felix can decorate 8 dozen cookies in 90 minutes. Oscar, on
Bingel [31]

<em>Working together</em>, decorating 16 dozens of cookies will take 103 minutes.

<u>Let's calculate theor individual work rate</u> :

  • Rate = 1/ time

Felix's rate = 1/90

Oscar's rate = 1/120

Combined rate = 1/90 + 1/120 = (4 + 3) / 360 = 7/360

<u>Time taken for both of the to decorate 8 dozens</u> :

Reciprocal of their combined rate = 1 ÷ (7/360) = 51.428571 minutes

<u>Hence, the time taken to decorate 16 dozens will be</u> :

(16/8) × 51.428571 = 102.857 = 103 minutes (nearest while number).

Learn more :brainly.com/question/18796573

8 0
2 years ago
A forester planted 3 acres in seedlings the first day, 5 acres the second day, and
Yanka [14]

Answer:

9 acres remain

Step-by-step explanation:

First day:

3 acres

Second day:

5 acres were planted. 5 + 3 = 8

Third day:

4 acres were planted. 4 + 8 = 12

If 3 acres were destroyed, we just subtract!

12 - 3 = 9.

9 acres of seedlings remain.

I hope this helped! :)

6 0
3 years ago
Given the following diagram, find the required measure.
Zielflug [23.3K]

Answer:

∠ 5 = 40°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°

∠ 5 and ∠ 2 are alternate angles and congruent , thus

∠ 5 = 40°

3 0
3 years ago
Another question I need help with
mote1985 [20]

Answer:

8 forks for every 1 table I hope this helped u :))

Step-by-step explanation:

5 0
3 years ago
Find last​ year's salary​ if, after a 5 %5% pay​ raise, this​ year's salary is $ 33 comma 075$33,075.
Anvisha [2.4K]
$33,075 = 0.05S + S

$33,075 = 1.05S


$33,075/1.05 = 1.05S/1.05


S= $31,500


Check


$31,500 * 5% = $1575 + $31,500 =$33,075
8 0
3 years ago
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