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Diano4ka-milaya [45]
3 years ago
8

How to Graph −12x+18y=34.

Mathematics
1 answer:
andriy [413]3 years ago
8 0

You can graph this two ways. You can change it into slope intercept form, y=mx+b, or find the x- and y-intercepts. To change it to slope intercept form you would need to add 12x to both sides and divide both sides by 18. By doing this, you'd get y=2/3x+17/9. You'd then go up on the y-axis to 17/9 or 1.89 and place a point. You'd then go up two and to the right three and place another point. You can do this one more time and connect the points. To find the x- and y- intercepts you would plug 0 in for x and solve for y, getting 17/9, and plug 0 in for y and solve for x, getting -17/6. You'd then plot the points (-17/6, 0) and (17/9) and connect the points forming a line.

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1)

ABCD is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are touching on the circle). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.

⇒ ∠ADC + ∠ABC = 180°

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In ΔABC ,

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Using angle sum property of triangle ,

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2)

ΔABC is an isosceles triangle (∵AB = AC). As it is an isosceles triangle , it's base angles will be equal. So , ∠ABC = ∠ACB = 50°

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∠ABC + ∠ACB + ∠BAC = 180°

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⇒ y + x = 180°

⇒ x + 80° = 180°

⇒ x = 180 - 80 = 100°

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