∑ Hey, KLPJDP615 ⊃
Answer:
x = 6 or x = -10
Step-by-step explanation:
<u><em>Given:</em></u>
<em>Solve for x.</em>
<em>1 + |2+x|= 9</em>
<em>O x = 4 or x = -8</em>
<em>O x = 7 or X = -11</em>
<em>O x = 5 or x = -9</em>
<em>x = 6 or X = -10 </em>
<u><em>Solve:</em></u>
<em>1 + |2+x|= 9</em>
<em>Subtract 1 from both sides:</em>
<em>1 + |2 +x| -1 = 9-1 </em>
<em>Simplify</em>
<em>|2 + x | = 8</em>
<em>Applying absolute value rule: If |u| = a, a > 0 then u = a or u = -a</em>
<em>2 + x = -8</em>
<em>2 + x = 8</em>
<u><em>Solving:</em></u>
<em>2 + x = -8</em>
<em>2 - 2 + x = -8 - 2</em>
<em>x = -10</em>
<u><em>Solving:</em></u>
<em>2 + x = 8</em>
<em>2 - 2 + x = 8 - 2</em>
<em>x = 6</em>
<em />
<em>Hence, x = 6 or x = -10</em>
<em />
<u><em>xcookiex12</em></u>
<em>8/26/2022</em>
This is a proof that the angles in a triangle equal 180°:
The top
line (that touches the top of the triangle) is
running parallel
to the base of the triangle.
So:
<span>
<span>angles A are the
same </span>
<span>angles B are the same </span>
</span>
And you can easily
see that A + C + B does a complete
rotation from one side of the straight line to the other, or <span>180°</span>
Answer :
A prism __<u>always</u>___ has two congruent, parallel bases.
always
sometimes
never
Answer:
37.59 nautical miles
Explanation:
Distance = Speed x Time
The speed of the first ship = 12 knots
Thus, the distance covered after 1.5 hours

The speed of the second ship = 22 knots
Thus, the distance covered after 1.5 hours

The diagram representing the ship's path is drawn and attached below:
The angle at port = 90 degrees.
The triangle is a right triangle.
Using Pythagorean Theorem:
![\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3Da%5E2%2Bb%5E2%20%5C%5C%20c%5E2%3D18%5E2%2B33%5E2%20%5C%5C%20c%5E2%3D324%2B1089%20%5C%5C%20c%5E2%3D1413%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B1413%7D%20%5C%5C%20c%3D37.59%5Ctext%7B%20miles%7D%20%5Cend%7Bgathered%7D)
The two ships are 37.59 nautical miles apart after 1.5 hours.
The answer is 0.8! Hope this helped