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andrey2020 [161]
3 years ago
6

Question

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

The constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur. Use distributive property on the right side first.

Step-by-step explanation:

Hope this helped:).

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Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete
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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

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Answer:

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Step-by-step explanation:

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The second store offered the better buy at the price of $92.00.

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Better buy refers to the lowest price out of the prices offered by the three stores.

In order to determine the lowest price, the no discount price of the first store needs to be compared to the prices of  two other stores, bearing that after-discount price is the pre-discount price multiplied by 1 minus the discount rate.

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Third store after-discount price=$105*(1-10%)

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Find out more about discounted price on:brainly.com/question/1153322

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