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natima [27]
2 years ago
6

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

d the proof incorrectly? Explain. line AB intersecting line GH at K Angie's Proof Statement Justification 1. Segment GH intersects segment AB at K 1. Given 2. m∠AKG + m∠GKB = 180° 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 Becky's Proof Statement Justification 1. Segment GH intersects segment AB at K 1. Given 2. m∠AKG + m∠GKB = 180° m∠GKB + m∠HKB = 180° 2. Angle Addition Postulate 3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB 3. Substitution Property 4. m∠AKG = m∠HKB 4. Subtraction Property
Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
8 0

Answer:

Becky Did the Proof Wrong, since a Postulate is two adjacent angles that can be added to t=find the measure of another angle,

AKG + GKB= 180 Degrees Is the definition of Supplementary angles, since a supplementary angle is the sum of two angles equaling 180 Degrees

Otherwise, they follow the same steps in Steps 1,3, and 4

Step-by-step explanation:

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If a linear system has four equations and seven variables, then it must have infinitely many solutions. True or False
Savatey [412]

Answer:

The statement is False.

Step-by-step explanation:

Consider the provided information.

If a linear system has four equations and seven variables, then it must have infinitely many solutions.

We need to determine the above statement is true or false.

The above statement is false, it could be inconsistent, and therefore have no solutions,

For example:

x_1+x_2+x_3+x_4 +x_5+x_6+x_7=0\\x_1+x_2+x_3 =1\\x_4 +x_5 =1\\x_6+ x_7=1

Hence, there is no solution.

7 0
2 years ago
Ahmed has five more CDs than one-half the number of CDs Julia has. In this situation, what does c+ 5 represent?
KonstantinChe [14]
The c+5 should represent the five more cds that he has thats more than julias

6 0
2 years ago
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What is the measure of ∠EGF?<br><br><br><br> What is the measure of ∠CGF?
andrey2020 [161]
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Answer below these questions
timurjin [86]

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

3x²2y⁴(2x⁶y)

6x⁸y⁵

xz³(4x⁴z⁵)

4x⁵z⁸

(4a³)²(3a⁶b⁵)

16a⁶(3a⁶b⁵)

48a¹²b⁵

6s⁵t(s⁴t²)

6s⁹t³

3 0
2 years ago
James is the manager at an entertainment arena that draws an average 7,000 patrons per event. Each ticket taker can process 350
Elina [12.6K]

Answer:

No. James didn't have enough ticket takers to process the average number of patrons hat usually attend the events.

He need to hire 2 more ticket taker (i.e 20 ticket takers) in order to process the average number of patrons hat usually attend the events.

Step-by-step explanation:

Given:

Average amount of patron per event= 7000

Each ticket taker can process = 350

Number of ticket takers hired = 18

We need to find the whether he hire enough to process the average number of patrons that usually attend the events.

Solution:

We will find the Average amount of patron ticket takers can process.

Now we can say that

Average amount of patron ticket takers can process is equal to Each ticket taker can process multiplied by Number of ticket takers hired.

framing in equation form we get;

Average amount of patron ticket takers can process = 350 \times 18 = 6300\ patrons

Hence With the required hires James cannot fully process the patrons usually attending the event.

To find how many ticket takers required we will divide average number of patrons with  Each ticket taker can process.

framing in equation form we get;

ticket takers required = \frac{7000}{350}=20

hence In order t process the the average number of patrons that usually attend the events James will require 20 ticket takers.

6 0
2 years ago
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