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Guys Pasagot Naman Po Oh Please Please Please Please Please Please Kailangan Na Kailangan Ko Na Po May 5 Ko Na Po Ipapasa Please Please class=

Sagot :

Answer:

1. x = 9 AD = 23

2. angle A is 15°

Step-by-step explanation:

1. AD = BD

3x - 4 = 2x + 5

3x - 2x = 5 +4

x = 9

AD = 3x - 4

= 3(9) - 4

= 27 - 4

= 23

2. angle A = Angle B

5x = x + 12

5x - x = 12

4x = 12

÷ 4 ( 4x = 12) ÷ 4

x = 3

Angle A = 5x°

= 5(3)°

= 15°

Answer:

1. AD and BD are congruent.

Therefore,

[tex]3x - 4 = 2x + 5\\3x - 2x = 5 + 4\\x = 9[/tex]

To get the value of AD, substitute x with 9.

[tex]3(9) - 4 = 23\\2(9) + 5 = 23[/tex]

Since BD is congruent to AD, the value is the same. Therefore, both line BD and AD are equal to 23.

2. Angle A and B are also congruent.

Therefore,

[tex]5x = x + 12\\5x - x = 12\\4x = 12\\\frac{4x}{4} = \frac{12}{4}\\x = 3[/tex]

Verify:

[tex]5(3) = (3) + 12\\15 = 15[/tex]