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Andrej [43]
2 years ago
14

Complete the proof of the Pythagorean theorem.

Mathematics
1 answer:
Nastasia [14]2 years ago
3 0

The fill up are:

5. ∠B ≅ ∠B

6. AA Similarity Postulate          

7.   a/c = c/a

8. a² = cx

9. ∠CDA ≅ ∠BCA

10. ∠A ≅ ∠A

11. ΔCBA ~ ΔDBA  

<h3>What is Similarity Postulate?</h3>

The above answers shows that:

5. Reflexive Property

6. AA Similarity Postulate

7. Polygon Similarity Postulate

8. Cross Multiply and Simplify

9. All right angles are Congruent

10. Reflexive Property

11. AA similarity Postulate

To prove the above:

Note that the full proof of the Pythagorean theorem is that:

We are given: Δ ABC as a right triangle, with a right angle at ∠C.

Then the  Prove: A²+B² =C²

Therefore, If you follow the theories above, you will see that the answers given are correct.

Learn more about triangle from

brainly.com/question/14686407

#SPJ1

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A shipping crate holds 14 books. The dimensions of each book are 4 inches by 11 by 14 inches. For A-C, select Yes or No to indic
Inga [223]

Answer:

A. No

B. Yes

C. No

Step-by-step explanation:

Dimensions of each book are 4 inches by 11 by 14 inches.

A. Each book has a volume of 29 cubic inches.

Volume of each book = length × width × height

= 4 × 11 × 14

= 616 cubic inches

No

B. If the crate could hold 18 books the volume of the crate would be 11,088.

Volume of each book = 616 cubic inches

Volume of the crate = volume of each book × number of books

= 616 × 18

= 11,088 cubic inches

Yes

C. Each crate has a volume of about 8,524 cubic inches

If the crate holds 14 books,

Volume of the crate = volume of each book × number of books

= 616 × 14

= 8,624 cubic inches

No

5 0
3 years ago
a plane intersects a sphere 5cm away from the center of the sphere. the cross section is a circle whose diameter is 12 cm. deter
bezimeni [28]
26cm i hope that’s correct
5 0
3 years ago
A person drove from 8 am Tuesday to 5 pm Wednesday. Total drive 396 miles. He have lunch for 30 minutes on Tuesday and sleep ove
777dan777 [17]

Answer: 18mph

Step-by-step explanation:

Given data

total distance driven = 396 miles

time driven = 8 am Tuesday to 5 pm Wednesday

total time driven in hours = 33 hours

lunch break time = 30 min Tuesday  + 30 min Wednesday

= 60 min

= 1 hour

sleep time = 7 pm Tuesday to  5 am Wednesday

= 10 hours

solution:

To find the average speed,

we are given total time driven = 33hrs.

lunch + rest time = 10hrs + 1hr

= 11hrs

total time travelled =drive time - rest + lunch time

= 33 - 11

= 22hrs

therefore;

average speed = distance / time traveled.

average speed = 396 / 22

average speed = 18 mph

6 0
3 years ago
-(-8+5)+{-4+[-7+(-9-5)+3]}
Inessa05 [86]
-(-8+5)+(-4+(-7+(-9-5)+3))
-(-8+5)+(-4+(-7+(-14)+3))
-(-8+5)+(-4+(-7-14+3))
-(-8+5)+(-4+(-18))
-(-8+5)+(-4-18)
-(-3)+(-22)
3+(-22)
3-22
19
3 0
3 years ago
On February 1, the electricity meter reading for the Smith residence was 19,423 kilowatt hours. On March 1, the meter read 20,28
Karolina [17]
A. How many kilowatt hours of electricity did the Smiths use during February?

Kilowatt hours of electricity the Smiths used during February:
Meter read on March 1 - meter read on February 1 =
20,288 kilowatt hours - 19,423 kilowatt hours =
865 kilowatt hours
Answer: The Smiths used 865 kilowatt hours of electricity during February

b. How many kilowatt hours did they use during March?

Kilowatt hours of electricity the Smiths used during March:
Meter read on April 1 - meter read on March 1 =
21,163 kilowatt hours - 20,288 kilowatt hours =
875 kilowatt hours
Answer: The Smiths used 875 kilowatt hours of electricity during March
8 0
4 years ago
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