Step-by-step explanation:
Hey there!
The given midpoint is; X(-8,4) and G(2,-9).
To find: H
Now; You need to use formula for midpoint.

<u>Pu</u><u>t</u><u> all</u><u> values</u><u>.</u>
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<u>As</u><u> </u><u>the</u><u>y</u><u> are</u><u> </u><u>eq</u><u>ual</u><u>,</u><u> </u><u>their</u><u> </u><u>corres</u><u>ponding</u><u> </u><u>eleme</u><u>nts</u><u> </u><u>are</u><u> </u><u>eq</u><u>ual</u><u>.</u>
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<u>x</u><u> </u><u>=</u><u> </u><u>-</u><u>1</u><u>8</u>
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<u>There</u><u>fore</u><u>,</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>1</u><u>7</u><u>.</u>
<u>There</u><u>fore</u><u>,</u><u> </u><u>H</u><u> </u><u>=</u><u>(</u><u> </u><u>-</u><u>1</u><u>8</u><u>,</u><u>1</u><u>7</u><u>)</u><u>.</u>
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Hi !
The Answer is :-

(<em>P</em><em>l</em><em>e</em><em>a</em><em>s</em><em>e</em><em> </em><em>c</em><em>h</em><em>e</em><em>c</em><em>k</em><em> </em><em>m</em><em>y</em><em> </em><em>a</em><em>t</em><em>t</em><em>a</em><em>c</em><em>h</em><em>e</em><em>d</em><em> </em><em>i</em><em>m</em><em>a</em><em>g</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em> </em><em>it</em><em>)</em>
Have a great day!!
5x + 50 / x + 5 • 1/x + 10
<span><span><span><span> 5x</span>+<span><span><span>50x</span></span></span></span>+<span><span><span><span><span>(5)</span><span>(1)</span></span>x</span></span></span></span>+10</span><span>
</span><span>
</span><span> =<span><span><span><span><span>5<span>x^2</span></span>+<span>10x</span></span>+55 / </span>x</span></span></span>
If I’m doing it correctly it’s 2/3 but I haven’t done it in a while
X=72 cause 180-(51+57) so 180-108 and the triangle is acute cause all of the angle measures are below 90 degrees.
So your answer is
x=72
Acute Triangle