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professor190 [17]
3 years ago
6

Write a two-columm proof

Mathematics
1 answer:
Nastasia [14]3 years ago
4 0

Both angles 2x+6 and 96 shown are vertically opposite angles and vertically opposite angles are always equal

so 2x+6 should be equal to 96

so 2x + 6 = 96

Now we have to solve for x here and have to get x by itself on left hand side

So first get rid of +6 by doing its opposite -6 on both sides

2x + 6 -6 = 96 -6

2x = 90

Now to get x by itself we have to get rid of 2, for that divide both sides by 2

\frac{2x}{2} = \frac{90}{2}

x = 45

Hence proved that x = 45

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Hey:) can you please help me posted picture of question
mr Goodwill [35]
The top row contains the product of x^{2} with each term of the expressions x^{6}+ x^{4}+ x^{2} and bottom row contains the product of -1 with each term of expression x^{6}+ x^{4}+ x^{2} .

The final result will be the sum of terms of both rows as shown below:

( x^{6}+ x^{4} + x^{2} )( x^{2} -1) \\  \\ 
= x^{2} ( x^{6}+ x^{4} + x^{2} )-1( x^{6}+ x^{4} + x^{2} ) \\  \\ 
= x^{8}+ x^{6}+ x^{4}- x^{6}- x^{4}- x^{2}  \\  \\ 
= x^{8}- x^{2}

So the correct answer is option D
8 0
3 years ago
Find the area of a triangle and semi circle where the diameter is 18 and the height is 14 using 3.14
Readme [11.4K]

Answer:

triangle A= 1/2bh

1/2(18)(14)= 126

semi circle 3.14(9)^2 divided by 2 = 127.17

Triangle Area plus semi circle Area = 126+127.17= 253.17

4 0
2 years ago
4,6,9,...<br> Find the 8th term.<br> Find the 8th term.
krek1111 [17]

Answer:

4, 6, 9, 12, 15, 18, 21, <u><em>24.</em></u>

Step-by-step explanation:

The 8th term is 24.

just +2 (add 2) every time.

3 0
2 years ago
Factor 64v^3 + 192v^2 -56v - 168​
Kaylis [27]

Hello from MrBillDoesMath!

Answer:

8(v+3) ( -1/2 (sqrt(14) - 4 v) (4 v + sqrt(14)) )


Discussion:

Given

64v^3 + 192v^2 - 56 v - 168      

Factor 64v^2 from the first two terms. Factor 56 from the last two terms:

64v^2(v+3) - 56(v  + 3)     => factor (v+3) from both terms

(v+3) (64v^2 - 56)             => factor 8 from both terms in the right ()

8(v+3)(8v^2-7)                   => factor 8y^2-7

8(v+3) ( -1/2 (sqrt(14) - 4 v) (4 v + sqrt(14)) )



Thank you,

MrB

4 0
3 years ago
How do the average rates of change for f(x) = -0.5x² and g(x) = -1.5x² over the interval -5 ≤ x ≤ -2 compare?​
masha68 [24]
Pick an x-value between the interval givens. I’ll choose “1”. If you sub in one for both f(x) and g(x) you get that f(1) = -1.5 and g(1) = -0.5. Now you can divide f(1) by g(1) to get average rate of change. -1.5/-0.5 = 3.
8 0
2 years ago
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