3 years ago

Work out the sizeof angle X

Mathematics

1 answer:

aleksandrvk [35]3 years ago

3 0

Answer:

x = 13°

Step-by-step explanation:

Since the lines are parallel , then

the lower left vertex of the triangle = 85° ( alternate angles )

the lower right vertex of the triangle = 180° - 98° = 82° ( adjacent angles )

Then

x = 180° - (82 + 85)° = 180° - 167° = 13° ( angle sum of triangle )

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3(5y - 4) + 31 - 3y) = 3(2y - 3)<br> How to solve it

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After solving $3(5y - 4) + 31 - 3y = 3(2y - 3)$ the value of y is $y=-\frac{14}{3}\,\,or\,\,y= -4.66$

Step-by-step explanation:

We need to solve the expression:

$3(5y - 4) + 31 - 3y = 3(2y - 3)$

and find the value of y

Solving:

$3(5y - 4) + 31 - 3y = 3(2y - 3)\\15y-12+31-3y=6y-9\\Combining\,\,like\,\,terms:\\15y-3y-6y=-9+12-31\\15y-9y=12-40\\6y=-28\\y=-\frac{28}{6}\\y=-\frac{14}{3}\\or\,\,y= -4.66$

So, after solving $3(5y - 4) + 31 - 3y = 3(2y - 3)$ the value of y is $y=-\frac{14}{3}\,\,or\,\,y= -4.66$

Keywords: Solving the expressions

Learn more about Solving the expressions at:

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