What completes the proof are:
1. LC ≅ CU; CU ≅ UK
2. Given
3. Unequal angle theorem (Aa → Ss)
<h3>What is the Unequal Angle Theorem?</h3>
The unequal angle theorem states that the longer side of a triangle will always be directly opposite the largest angle measure. This implies that, if an angle that is opposite a side is greater than another another, the side it is opposite will also be longer than the side opposite the other angle (Aa → Ss).
From the image given, statement 1 was given as well as statement 2.
Statement 1 would be: LC ≅ CU; CU ≅ UK.
The reason for statement 2 will also be "given".
Then, UL > CK using the unequal angle theorem (Aa → Ss).
Learn more about the unequal angle theorem on:
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Answer:
∠ACB≅∠CAD, Alternate Interior Angles Theorem
∠BAC≅∠DCA, Alternate Interior Angles Theorem
AC≅AC, Reflexive Property of Congruence
By A-S-A congruence, the △ABC≅△CDA.
Step-by-step explanation:
Given the figure:
We are given that:
Side BC || AD
Side AB || DC
Let us have a look at a few properties first.
Alternate Interior Angle Theorem: It states that when two parallel lines are cut by a line then the alternate angles which are on the interior side are equal to each other.
Reflexive Property of Congruence: It states that a side or angle is always congruent to itself.
Now, let us consider the triangles:
△ABC and △CDA.
Side BC || AD
Therefore,
<em>∠ACB≅∠CAD, Alternate Interior Angles Theorem</em>
Side AB || DC
Therefore,
<em>∠BAC≅∠DCA, Alternate Interior Angles Theorem</em>
<em />
Also, Side AC is common.
AC≅AC, Reflexive Property of Congruence
Therefore, by <em>A-S-A congruence</em>, the △ABC≅△CDA.
Answer:
Step-by-step explanation:
Hello!
You have to estimate the mean length of 4000 b.c. human skulls trough a 95% confidence interval.
You know that
n= 6 human skulls
= 94.2mm
S= 4.9
Assuming that the variable X: length of a 4000b.c. human skull (mm) has a normal distribution, to construct the interval you have to use the t statistic:
[ ± 
]
[94.2 ± 2.571 * 
]
[89.06; 99.34]mm
With a 95% confidence level you'd expect the interval [89.06; 99.34]mm to contain the value for the average skull length for humans 4000 b.c.
I hope this helps!
Where are the answers choices i can’t see :(
Answer:
I believe the answer is B!
