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3 years ago

7

How many times larger is the volume of Figure B than Figure A?

1 answer:

hjlf3 years ago

8 0

Answer:

k

Step-by-step explanation:

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What is the justification for each step in the solution of the equation?

Alexandra [31]

For this case we have the following equation:

$\frac{2}{3}x-\frac{1}{3}= 2 (x + 2)\\$

If we multiply both sides of the equation by 3 we get:

$2x-1 = 6 (x + 2)$ ---> Multiplication Property of Equality

Applying the distributive property we have:

$2x-1 = 6x + 12$ ---> Distributive Property

Adding 1 on both sides of equality we have:

$2x-1 + 1 = 6x + 12 + 1\\$

$2x = 6x + 13$ ---> Addition Property of Equality

Subtracting $6x$ on both sides we have:

$-6x + 2x = 6x-6x + 13\\$

$-4x = 13$ ---> Subtraction Property of Equality

Finally, dividing by -4 on both sides we have:

$\frac{-4x}{-4}= \frac{13}{-4}\\$

$x = -\frac{13}{4}$ ---> Division Property of Equality

5 0

3 years ago

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In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1

svetlana [45]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$1)\, XY=XZ$ Given

$2) \text{ $ m\angle Y= m\angle Z$}$ Isosceles Triangle Theorem

$\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}$ Angle Addition

$\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}$ Given

$5) \text{ $m\angle XYQ=m\angle QYZ$}$ Definition of Bisector

$\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}$ Substitution

$7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}$ Angle Addition

$8)\text{ $ZP$ bisects $\angle XZY$}$ Given

$\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }$ Definition of Bisector

$\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}$ Substitution

$11)\text{ } 2m\angle QYZ=2m\angle PZY$ Substitution

$12)\text{ }m\angle QYZ=m\angle PZY$ Division Property of Equality

$13)\text{ } YZ=YZ$ Reflexive Property

$14)\text{ } \Delta YZP\cong\Delta ZYQ$ Angle-Side-Angle Congruence*

$15)\text{ } YQ=ZP$ CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

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3 years ago

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how.can you write the prime factorization and find the greatest common factor and the least common multiple of two numbers

alisha [4.7K]

Answer:

Step-by-step explanation: you just need to find the greatest factors and least multiple then do it to two numbers

3 0

3 years ago

Function or not a function

Aliun [14]

Answer:

not a function

Step-by-step explanation:

6 0

2 years ago

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Your cell phone costs $50 a month plus $0.25 for each text message, (t). How much would your monthly bill be if you sent 40 text

aalyn [17]

Answer:

$60

Step-by-step explanation:

40 text messages × .25 each = $10. Plus the $50 per month is $60.

8 0

2 years ago

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