Answer:
x=6
Step-by-step explanation:
In a square, its angles are all 90 degrees. So, cutting a square in half into two triangles from corner to corner produces 45 degree angles on both sides. Since the triangles are now 45-45-90 triangles, we can use the rule where the hypotenuse of the triangle is equal to the square root of 2 times the length of either side. So, the side length is 6.
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Answer:
C
Step-by-step explanation:
x² + 6x = 18
To complete the square, take the coefficient of the x term, halve it, square the result, then add to both sides.
(6/2)² = 3² = 9
x² + 6x + 9 = 18 + 9
(x + 3)² = 27
x + 3 = ±√27
x = -3 ± √27
What is the repeating decimal?
<span><span>−1/</span>3</span>m−7=5Add 7 to both sides.<span><span><span><span><span><span><span>−1/</span>3</span></span>m</span>−7</span>+7</span>=<span>5+<span>7</span></span></span><span><span><span>
<span><span>−1/</span>3</span></span>m</span>=12</span>Multiply both sides by 3/(-1).<span><span><span>(<span><span><span>3/<span>−1</span></span></span></span>)</span>*<span>(<span><span><span><span>−1/</span>3</span></span>m</span>)</span></span>=<span><span>(<span><span><span>3/<span>−1</span></span></span></span>)</span>*<span>(12)</span></span></span><span>m=<span>−36</span></span>Answer:<span>m=<span>−36</span></span>