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creativ13 [48]
2 years ago
13

A cylinder and a cone have the same measurements for height and radius. The cylinder has a volume of 45 cm ^ 3 . What is the vol

ume of the cone?
Mathematics
1 answer:
sweet [91]2 years ago
4 0

Answer:

91,125

Step-by-step explanation:

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7 0
2 years ago
Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete
Svetllana [295]

Vertical angles are angles which are <u>opposite</u> to each other and have <u>equal</u> measures. With respect to the given proof, <em>Angie</em> completed the proof <em>incorrectly</em>.

<em>Two</em> angles are said to be <u>vertical</u> when they are <em>opposite</em> to one another and have <em>equal</em> measures. However, two angles are <u>supplementary</u> if they <u>add</u> <u>up</u> to 180°.

So, comparing Angie's and Becky's proofs, it can be deduced that from Angies proof:

1. Segment GH intersects segment AB at K (1. Given)

2. m∠AKG + m∠GKB = 180° (2. Definition of Supplementary Angles)

   m∠GKB + m∠HKB = 180°   (2. Definition of Supplementary Angles)

3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB  (3. Substitution Property)

4. m∠AKG = m∠HKB (4. Subtraction Property)

Note:

  • Step 2 should be Angle Addition Postulate, since:

   m∠AKG + m∠GKB = 180°

   m∠GKB + m∠HKB = 180°

So that;

   m∠AKG + m∠GKB = m∠GKB + m∠HKB

<u>Subtract</u> m∠GKB from both sides to have;

m∠AKG = m∠HKB (which is the proof for step 4)

Therefore, <u>Angie</u> completed the poof <em>incorrectly</em> because of the properties of steps 2 and 4.

A diagram is herewith attached for more clarifications.

Visit: brainly.com/question/24529637

8 0
2 years ago
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