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3 years ago

PLEASE I NEED HELP QUICKLY

Mathematics

2 answers:

tangare [24]3 years ago

7 0

Answer:

Step-by-step explanation:

6x - 5 + 3x - 4 = 180 {Supplementary angles}

6x + 3x - 5 - 4 = 180

Combine like terms

9x - 9 = 180

Add 9 to both sides

9x = 180 + 9

9x = 189

Divide both sides by 9

x = 189/9

x = 21

Whitepunk [10]3 years ago

6 0

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The nswer is × = 21

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Plz help

kvv77 [185]

Option C: $5 x(4 x+7)(3 x+2)$ is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is $60 x^{3}+145 x^{2}+70 x$

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

$5 x\left(12 x^{2}+29 x+14\right)$

Let us break the expression $12 x^{2}+29 x+14$ into two groups, we get,

$5x[\left(12 x^{2}+8 x\right)+(21 x+14)]$

Factoring 4x from the term $12 x^{2}+8 x$ , we get,

$5x[4 x(3 x+2)+(21x+14)]$

Similarly, factoring 7x from the term $21 x+14$ , we get,

$5x[4 x(3 x+2)+7(3x+2)]$

Now, let us factor out $3x+2$ , we get,

$5 x(4 x+7)(3 x+2)$

Hence, the possible expressions for length, width and height of the prism is $5 x(4 x+7)(3 x+2)$

Therefore, Option C is the correct answer.

8 0

3 years ago

Karen invested $2,000 in a special savings account.

WARRIOR [948]

Answer:

D. $512,000

Step-by-step explanation:

Well if the balance doubles every 5 years, then dividing 40 by 5 gives us the number of times the money will double, which is 8. We can then turn this into the equation $2000(2^{8})$ . $2^8$ can be simplified to 256. Multiply that by 2000 and we get our answer, 512000. Hope this helps!