Answer:
Let m∠BCE = x
Then m∠ACE = x as well since CE is bisecting ∠ACB.
- m∠ACD + x + x = 180° ⇒
- m∠ACD = 180° - 2x
Consider ΔBEC
<u>Since BE = EC, the opposite angles are congruent:</u>
<u>Then:</u>
<u>Find the angle BEC:</u>
- m∠BEC = 180° - (x + x) = 180° - 2x
<u>Comparing the above we see that:</u>
Answer:
no enough evidence to draw up a conclusion
Step-by-step explanation:
Data:
let:
= decay after 2 weeks
= decay after 16 weeks
Making the hypotheses:
Null hypothesis; 
the deviation = 0.05
the standard difference = 4
Conditions:
The normal distribution curve can be plotted on a graph and the plot shows that the distribution is a skewed distribution.
Then,

Therefore, it can be concluded that 0.1983 > 0.05. This presents our failure to reject the null hypothesis.
Thus, there is not enough evidence to conclude that polyester decays more in less than 2 weeks.
Answer:
<em>x = 2.5</em>
Step-by-step explanation:
- 2x - ( - 5 - 4x ) = - 5 ( 2x - 7 )
- 2x + 5 + 4x = - 10x + 35
- 2x + 5 + 4x = - 10x + 35
- 2x + 4x + 10x = 35 - 5
12x = 30
<em>x = </em>
<em> = 2.5</em>
Check the answer:
<em>L.H.S.</em> = - 2(2.5) - [ - 5 - 4(2.5) ] = <em>10</em>
<em>R.H.S.</em> = - 5 [ 2(2.5) - 7 ] = <em>10</em>
Answer:
(-7, -3) (Answer A)
Step-by-step explanation:
We start with the point (-7, -3). The x-coordinate does not change at all if we reflect this point across the x-axis. Whereas the y-value of (-7, -3) is -3, we end up with +3 after this reflection. The desired image is (-7, +3) (Answer A)
The answer is B.55.8. Hope this helps!!