Evaluate each geometric series described 3 + 6 +12 + 24 n=7

Mathematics

1 answer:

baherus [9]2 years ago

3 0

Process:

1. 21+24n= 7
2. 24n= 7 - 21
3. 24n= -14

Answ: n= -7/12

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<h3><u>Answer:</u></h3>

$\boxed{\pink{\sf\leadsto Value \ of \ x \ is \ 24^{\circ}}}$

<h3><u>Step-by-step explanation:</u></h3>

In the given parallelogram we can see that , <B is 5x° and <C is equal to 2x + 12°.

And these two are co - interior angles . And sum of co - interior angles is 180°.

Hence , here

$\tt:\implies \angle DCB + \angle ABC = 180^{\circ} \\\\\tt:\implies (2x + 12)^{\circ} + 5x^{\circ}=180^{\circ} \\\\\tt:\implies 7x = (180 - 12 )^{\circ} \\\\\tt:\implies 7x = 168^{\circ} \\\\\tt:\implies x =\dfrac{168^{\circ}}{7} \\\\\underline{\boxed{\red{\tt\longmapsto x = 24^{\circ}}}}$