2380.4 is the answer using PEMDAS
<em>∙•❁ </em>Okay time to solve this Step-By-Step.<em>❁•∙ </em>
16−<span>2n</span>−5+<span>8n</span>=<span>65
<em>∙•❁ </em>So the first part we need to Simplify both sides of this equation, so:
<span><span><span><span>16−<span>2n</span></span>−5</span>+<span>8n</span></span>=65
<em>∙•❁ </em>We are going to simplify this Step-By-Step.
<span><span><span><span>16−<span>2n</span></span>−5</span>+<span>8n</span></span>=65
</span><span><span><span><span><span><span>16+</span>−<span>2n</span></span>+</span>−5</span>+<span>8n</span></span>=65
<em>∙•❁ </em>Combine like terms:
</span><span><span><span><span>
(<span><span>−2n</span>+8n</span>)</span>+<span>(<span>16+−5</span>)</span></span>=65 </span>
<span><span>6n+11</span>=65
</span><span><span><span>6n</span>+11</span>=65
<em>∙•❁ </em>Now subtract 11 from both sides.
<span><span><span><span>6n</span>+11</span>−11</span>=<span>65−11
</span></span><span><span>6n</span>=54
<em>∙•❁ </em>Now divide both sides by 6 and you'll get your answer:
6n/6=54/6
<em>∙•❁ </em>Your final answer is:
n=9
<em>∙•❁I hope this helps!❁•∙ </em> </span></span></span></span></span>
Answer:
Given statement is TRUE.
Step-by-step explanation:
Given that line segment JK and LM are parallel. From picture we see that LK is transversal line.
We know that corresponding angles formed by transversal line are congruent.
Hence ∠JKL = ∠ MLK ...(i)
Now consider triangles JKL and MLK
JK = LM {Given}
∠JKL = ∠ MLK { Using (i) }
KL = KL {common sides}
Hence by SAS property of congruency of triangles, ΔJKL and ΔMLK are congruent.
Hence given statement is TRUE.
Answer:
45°
Step-by-step explanation:
The hour hand makes a trip of 360° around the face of the clock in 12 hours, so in 4.5 hours will make an angle of ...
... (4.5/12)·360° = 135°
clockwise from straight up.
The minute hand makes that 360° turn in 1 hour, so in 30 minutes, it will be 180° clockwise from straight up.
The difference between the angles of the hands is ...
... 180° -135° = 45°
