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Veseljchak [2.6K]
3 years ago
8

To show that triangle TRK= triangle TUK by the SAS postulate, what additional information is necessary?

Mathematics
1 answer:
Ivan3 years ago
5 0
From the figure, we already have
RT = UT
and
TK = TK

Since these are already conditions for two sides being congruent, we only need an included angle to be congruent. So, the missing information is 
∠RTK <span>≅ </span>∠<span>UTK</span><span />
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In frequency curve the points are joined by bits of a straight line. True/False​
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What is the primary goal and secondary goal of the Fried Liver Opening in chess? &lt;br /&gt;
polet [3.4K]

Play usually continues 7.Qf3+ Ke6 8.Nc3 (see diagram). Black will play 8...Nb4 or 8...Ne7 and follow up with c6, bolstering his pinned knight on d5. If Black plays 8...Nb4, White can force the b4 knight to abandon protection of the d5 knight with 9.a3?! Nxc2+ 10.Kd1 Nxa1 11.Nxd5, sacrificing a rook, but current analysis suggests that the alternatives 9.Qe4, 9.Bb3 and 9.O-O are stronger. White has a strong attack, but it has not been proven yet to be decisive.

Because defence is harder to play than attack in this variation when given short time limits, the Fried Liver is dangerous for Black in over-the-board play, if using a short time control. It is also especially effective against weaker players who may not be able to find the correct defences. Sometimes Black invites White to play the Fried Liver Attack in correspondence chess or in over-the-board games with longer time limits (or no time limit), as the relaxed pace affords Black a better opportunity to refute the White sacrifice.


3 0
3 years ago
A manufacturer of t-shirts marks a shirt as "irregular" when it has defects such as crooked seams, stains, rips, or holes. A sma
MaRussiya [10]

Answer:

The test statistic value is 1.474.

Step-by-step explanation:

In this case we need to determine whether the plant is making a higher than expected number of irregular t-shirts.

If more than 8% of the t-shirts manufactured at a plant are classified as irregular, the manager has to do an investigation to try to find the source of the increased mistakes in the manufacturing process..

The hypothesis for this test can be defined as follows:

<em>H₀</em>: The proportion of irregular t-shirts is 8%, i.e. <em>p</em> = 0.08.

<em>Hₐ</em>: The proportion of irregular t-shirts is more than 8%, i.e. <em>p</em> > 0.08.

The information provided is:

<em>n</em> = 100

<em>X</em> = number of irregular t-shirts = 12

Compute the sample proportion as follows:

\hat p=\frac{X}{n}=\frac{12}{100}=0.12

Compute the test statistic as follows:

t=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}

  =\frac{0.12-0.08}{\sqrt{\frac{0.08(1-0.08)}{100}}}\\\\=1.47441\\\\\approx 1.474

Thus, the test statistic value is 1.474.

4 0
3 years ago
Four friends equally share the cost of their dinner that was $64 plus a 20% tip. If each person contributes $19, will that be en
Ulleksa [173]

If the dinner altogether costs £64, and there is a 20% tip, that brings the total amount paid to £76.80, and if four people are paying £19 towards the total, then there would not be enough for them to pay for both the meal and the tip, as 19x4 is 76, and the total is £76.80, meaning you need another 80 Pence.

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Hope this helps! Xo


4 0
3 years ago
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