Answer:
Step-by-step explanation:
Since we are given a right triangle, we can use right trigonometric ratios.
<em>x</em> is the opposite side to our angle. 10 is the adjacent side to it. Thus, we can use the tangent ratio:
Substitute:
Solve for <em>x:</em>
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Use a calculator:
expand by multiplying <span><span>√<span>7x</span></span>⋅<span>√x</span></span> and <span><span>√<span>7x</span></span>⋅7<span>√7</span></span>
<span><span>√<span>7x</span></span><span>(<span>√x</span>−7<span>√7</span>)</span>=<span>√<span>7x</span></span>⋅<span>√x</span>−<span>√<span>7x</span></span>⋅7<span>√7</span></span>
<span>You can make√<span>7x</span></span> into <span><span>√7</span>⋅<span>√x</span></span>
<span><span>=<span>√7</span>⋅<span><span>√x</span>⋅<span>√x</span></span>−<span>√7</span>⋅<span>√x</span>⋅7⋅<span>√7</span></span><span>=<span>√7</span>⋅<span><span>(<span>√x</span>)</span>2</span>−<span><span>(<span>√7</span>)</span>2</span>⋅<span>√x</span>⋅7</span></span>
since squaring and square roots are opposite, they cancel
<span><span>=<span>√7</span>⋅x−7⋅<span>√x</span>⋅7</span>=x√7−49√x
I hope the square root symbols worked. I had to copy and paste from word. Hopefully this is what you needed!
</span>
Answer:
3
Step-by-step explanation:
The scale factor of the dilation of segment HG is 
.
Now, PG' = 0.5 units
As per the rule of scale factor:
, where SF represents the scale factor.
Solving for PG, we get:
Therefore, the length of the segment PG is 3 units.
Answer:
ay i use this- technically isnt cheating bc my teachers didnt block it so..
math calculator for exponent thingys:
https://www.mathpapa.com/calc.html
-and i think you combine them..maybe-
