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Geometry PLS HELP due soon

Geometry PLS HELP Due Soon class=

Sagot :

MrRoyal

Answer:

(3) [tex]x = 7.5[/tex] and [tex]y = 51[/tex]

(4) [tex]x = 6[/tex]

Step-by-step explanation:

Question 3

Required

Solve for x and y

We have:

[tex]16x - 18 + 10x +3 = 180[/tex] --- angle on a straight line

Collect like terms

[tex]16x + 10x = 180 + 18 - 3[/tex]

[tex]26x = 195[/tex]

Solve for x

[tex]x = 195/26[/tex]

[tex]x = 7.5[/tex]

Also:

[tex]16x - 18 = 2y[/tex] ---- opposite angles

So, we have:

[tex]16 * 7.5 - 18 = 2y[/tex]

[tex]120 - 18 = 2y[/tex]

[tex]102 = 2y[/tex]

Divide by 2

[tex]51 = y[/tex]

[tex]y = 51[/tex]

Question 4:

Required

Solve for x

We have:

[tex]11x - 2 + 5x - 4 = 90[/tex] ---- angle at right-angled

Collect like terms

[tex]11x + 5x = 90 +2 + 4[/tex]

[tex]16x = 96[/tex]

Divide by 16

[tex]x = 6[/tex]

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