3 years ago

Solve for x. please

2 answers:

8 0

X=109

The polygon has 5 sides which makes it a pentagon

The sum of all of the angles of a pentagon equal 540 degrees.

Add all given angles (431 degrees)

Subtract 431 from 540 and you will get 109 which is X

Lisa [10]3 years ago

5 0

X is equivalent to 109

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Nata [24]

Answer: 15, -8

Step-by-step explanation:

$u_2=7\\u_2=u_1+r\\u_3=u_1+2r\\u_4=u_1+3r\\\\u_1+u_2+u_3+u_4=4u_1+6r=12\\u_1+r=7\\\\$

$\left \{ \begin {array} {ccc|c|c}u_1+r&=&7&-4&-6\\4u_1+6r&=&12&1&1\\\end {array} \right.\\\\\\\left \{ \begin {array} {ccc}2r&=&-16\\-2u_1&=&-30\\\end {array} \right.\\\\\\\left \{ \begin {array} {ccc}r&=&-8\\u_1&=&15\\\end {array} \right.\\\\\\Proof:\\u_1=15\\u_2=7\\u_3=-1\\u_4=-9\\sum=12\\$