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3 years ago

Which expression is equivalent to x2(3x3−2x)−(−7x3+2) ? 3x5+5x3−2 3x5−9x3+2 3x5+7x3−2x+2 3x6+7x3−2x2−2

Mathematics

1 answer:

erik [133]3 years ago

6 0

Answer:

The equivalent expression is 3x^5-9x^3-2

Step-by-step explanation:

To find the equivalent expression, we need to

open up the brackets;

Thus;

x^2(3x^3 -2x) - (7x^3 + 2)

= 3x^5 -2x^3 -7x^3 -2

= 3x^5 -9x^3-2

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One angle of a triangle measures <img src="https://tex.z-dn.net/?f=10degrees" id="TexFormula1" title="10degrees" alt="10degrees"

iVinArrow [24]

Answer:

$One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o$

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the second angle

z ----> the measure of the third angle

we know that

The sum of the measure of the interior angles in any triangle must be equal to 180 degrees

$x+y+z=180^o$ -----> equation A

One angle of a triangle measures 10 degrees more than the second

$x=y+10$ ----> equation B

The measure of the third angle is twice the sum of the first two angles

$z=2(x+y)$ ---> equation C

substitute equation B in equation C

$z=2(y+10+y)$

$z=4y+20$ ----> equation D

substitute equation D and equation B in equation A

$(y+10)+y+(4y+20)=180^o$

solve for y

$6y=180-30\\6y=150\\y=25^o$

Find the value of x

$x=25+10=35^o$

Find the value of z

$z=4(25)+20=120^o$

therefore

$One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o$

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Step-by-step explanation:

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stiv31 [10]

Answer:

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Step-by-step explanation:

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notka56 [123]

Answer: See below

Step-by-step explanation:

From the figure attached below,

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Using the property of congruence to find the measure of all these angles:

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fgiga [73]

I only made one ,

there I leave you an image with the whole procedure

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