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Liula [17]
3 years ago
12

Help 53 points to quickest and correct anwser

Mathematics
2 answers:
Serga [27]3 years ago
7 0

Answer:

First Box: If parallel, alternate interior angles are congruent

Second Box: Definition of congruence

Hope this helps ;)

Step-by-step explanation:

Tju [1.3M]3 years ago
5 0

Answer:

First Box: If parallel, alternate interior angles are congruent

Second Box: Definition of congruence

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The equation (x+2) as a parabola goes through the origin (0,0) but since there is a +2 outside.  You move this parabola up 2 on the y-axis
3 0
3 years ago
A package of 4 mechanical pencils comes with 2 free erasers and if you get a total of 12 eraser how many packages of pencils did
r-ruslan [8.4K]
Six packages were bought.  Just count by 2's until you reach 12.
5 0
3 years ago
In need of some help! Thank you in advance. 100 points <3
Anni [7]

Answer:

1

the equation (x-4)^2-17=8 has two solutions because <u>it is in a quadratic form.</u>

(x-4)^2-17=8

x²-8x+16-17-8=0

x²-8x-9=0

Doing middle term factorization

x²-9x+x-9=0

x(x-9)+1(x-9)=0

(x-9)(x+1)=0

either

<u>x=9</u>

<u>x=9or</u>

<u>x=9orx=-1</u>

2.

x^2+4x+3=0:

Doing middle term factorization

x²+3x+x+3=0

x(x+3)+1(x+3)=0

(x+3)(x+1)=0

either

x=-3

or

x=-1

<u>Josh’s solution is incorrect because he missed x=-3.</u>

<u>3</u><u>.</u>

x^2-6x+7=0

By <u>using</u><u> </u><u>quadratic</u><u> </u><u>equation</u><u> </u><u>f</u><u>o</u><u>r</u><u>m</u><u>u</u><u>l</u><u>a</u><u>:</u>

Comparing above equation with ax²+bx+c=0

we get

a=1

b=-6

c=7

Now

we have

x=\frac{ - b ±  \sqrt{ {b}^{2}  - 4ac} }{2a}

x=\frac{ 6±  \sqrt{ {-6}^{2}  - 4*1*7} }{2}

x=\frac{ 6±2\sqrt{ 2}}{2}

x={ 3±\sqrt{ 2}}

Taking positive

<u>x</u>={ 3+\sqrt{ 2}}

taking negative

<u>x</u>={ 3-\sqrt{ 2}}

4 0
3 years ago
After two half-lives, what fraction of a radioactive sample has decayed?1/2 2/3 3/4 5/6
vitfil [10]

A half life means that half the sample decays.

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For the 2nd half life, multiply 1/2 by 1/2 to get 1/4.

So after 2 half lives, there is 1/4 of the sample left, which means 3/4 of the sample decayed.

The answer is 3/4

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3 years ago
Help me 5th grade HW
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That would just be 5 inches
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