Answer:
To prove triangles similar, you need to prove that corresponding angles are congruent and corresponding sides are proportional.
Step-by-step explanation:
Answer:
Solve: x < 3 Graph: *attached* Interval Notation: (-∞,3)
Step-by-step explanation:
Solve:
combine like terms
Add 6 on either side of the inequality
Divide by 6 on either side of the inequality
Graph:
*see attachment*
Interval notation:
(-∞ , 3)
Answer:
The carpet would have to be 120 square feet.
Step-by-step explanation:
12x10 equals 120.
Hope this helps.
Answer:
gcf, hcf, gcd (65; 169) = 13: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.
Divide each term by <span>66</span> and simplify.
<span><span><span>|6−4x|</span>=<span><span>4x</span>3</span>+<span>23</span></span><span><span>|6-4x|</span>=<span><span>4x</span>3</span>+<span>23</span></span></span>Remove the absolute value term. This creates a <span>±±</span> on the right side of the equation because <span><span><span>|x|</span>=±x</span><span><span>|x|</span>=±x</span></span>.<span><span>6−4x=±<span><span>4x</span>3</span>+<span>23</span></span><span>6-4x=±<span><span>4x</span>3</span>+<span>23</span></span></span>Set up the positive portion of the <span>±±</span> solution.<span><span>6−4x=<span><span>4x</span>3</span>+<span>23</span></span><span>6-4x=<span><span>4x</span>3</span>+<span>23</span></span></span>Solve the first equation for <span>xx</span>..<span><span>x=1</span><span>x=1</span></span>Set up the negative portion of the <span>±±</span> solution.<span><span>6−4x=−<span>(<span><span>4x</span>3</span>+<span>23</span>)</span></span><span>6-4x=-<span>(<span><span>4x</span>3</span>+<span>23</span>)</span></span></span>Move <span>xx</span> to the right side of the equation by subtracting <span>xx</span> from both sides of the equation.<span><span>−<span><span>8x</span>3</span>=−<span>203</span></span><span>-<span><span>8x</span>3</span>=-<span>203</span></span></span>Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.<span><span><span>(−8x)</span>⋅<span>(3)</span>=<span>(3)</span>⋅<span>(−20)</span></span><span><span>(-8x)</span>⋅<span>(3)</span>=<span>(3)</span>⋅<span>(-20)</span></span></span>Solve the equation for <span>xx</span>..<span><span>x=<span>52</span></span><span>x=<span>52</span></span></span>The solution to the equation includes both the positive and negative portions of the solution.<span>x=1,<span><span>52</span></span></span>