Answer:
I dont know what the question is but she drank 36 cups of water already so she needs to drink 20 more
By using congruence of two triangles AKC and CMA we proved that
AK = MC
Step-by-step explanation:
Lets revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and
including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles
and one side in the 2nd Δ
- HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ
In Δ ABC
∵ AB = BC
∴ Δ ABC is an isosceles triangle
∴ ∠BAC ≅ m∠BCA ⇒ base angles of isoscelesΔ
∵ AK ⊥ BC
∴ m∠AKC = 90°
∵ MC ⊥ AB
∴ m∠CMA = 90°
∴ ∠AKC ≅ ∠CMA
In the two Δs AKC and CMA
∵ ∠BAC ≅ m∠BCA
∵ ∠AKC ≅ ∠CMA
∵ AC ≅ CA
∴ Δ AKC and Δ CMA are congruent by AAS postulate
∴ AK ≅ CM
By using congruence of two triangles AKC and CMA we proved that
AK = MC
Learn more:
You can learn more about congruence in brainly.com/question/3202836
#LearnwithBrainly
Answer:
Arithmetic Sequence:
d=4
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 4 o the previous term in the sequence gives the next term. In other words, aₙ=a₁+d(n-1)
Answer:
See below ~
Step-by-step explanation:
<u>Things to Find</u>
- Volume of Toy
- Difference of Volumes in Cube and Toy
- Total Surface of Toy
<u>Volume of Toy</u>
- Volume of Hemisphere + Volume (Cone)
- 2/3πr³ + 1/3πr²h
- 1/3πr² (2r + h)
- 1/3 x 3.14 x 16 (8 + 4)
- 1/3 x 50.24 x 12
- 50.24 x 4
- <u>200.96 cm³</u>
<u></u>
<u>Volume of Circumscribing Cube</u>
- Edge length is same as diameter
- V = (8)³
- V = 512 cm³
<u>Difference in Volume</u>
- 512 - 200.96
- <u>311.04 cm³</u>
<u></u>
<u>Slant height of cone</u>
- l² = 4² + 4²
- l² = 32
- l = 4√2 cm = 5.6 cm
<u />
<u>Surface Area of Toy</u>
- CSA (hemisphere) + CSA (Cone)
- 2πr² + πrl
- πr (2r + l)
- 3.14 x 4 (8 + 5.6)
- 12.56 x 13.6
- <u>170.8 cm²</u>
Answer:
2:1
Step-by-step explanation:
The perimeter of the first is twice as large as the 2nd
