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ahrayia [7]
3 years ago
15

The following figures are not drawn to scale but AB and CD are straight lines. Find x

Mathematics
1 answer:
astraxan [27]3 years ago
5 0

Answer:

x=45

Step-by-step explanation:

Since AB is a straight line, it is 180 degrees

AOE + EOF + FOD + DOB = 180

15+x+2x+120-2x = 180

Combine like terms

135 +x = 180

Subtract 135 from each side

135-135 +x = 180 -135

x = 45

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Step-by-step explanation:

Use the correct order of operations and do one step at a time to avoid making mistakes.

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3 years ago
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1. Find the measurement of angle J.<br><br> 2. (5x - 13) (3x + 17)
Alex Ar [27]

Answer:

Q1. x= 18, y=59

Q2. m∠J= 56°

Step-by-step explanation:

Q1. (3x +5)°= y° (base ∠s of isos. △)

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(3x +5)° +y° +(4x -10)°= 180° (∠ sum of △)

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7x +y= 185 -----(2)

Substitute (1) into (2):

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x= 18

Substitute x= 18 into (1):

y= 3(18) +5

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Q2. (5x -13)°= (3x +17)° (base ∠s of isos. △)

5x -13= 3x +17

5x -3x= 17 +13

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x= 30 ÷2

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= 3(15) +17

= 62°

∠KLJ= 62° (base ∠s of isos. △)

m∠J

= 180° -62° -62° (∠ sum of △JKL)

= 56°

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3 years ago
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Step-by-step explanation:

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