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3 years ago

What is the solution to the problems y=16x+150 and y=12x+300

Mathematics

1 answer:

aalyn [17]3 years ago

6 0

Answer:

y=750 and x=37.5

Step-by-step explanation:

y=16x+150

y=12x+300 use substitution method If x=37.5

12x+300=16x+150 y=16(37.5)+150

12x-16x=150-300 y=600+150

-4x=-150 y=750

x=37.5

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2 years ago

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

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

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substitute equation D and equation B in equation A

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

solve for y

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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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3 years ago