Recall that t<span>wo shapes are said to be congruent if the lengths of the sides and the angles are the same.
For triangle A B C to be congruent to triangle D E F, then A B = D E, A C = D F and B C = E F
Also, the triangle D E F is a result of a rigid body translation of the triangle A B C.
Given that A is at point (1, 0) and D is at point (-1, 0), also given that B is at point (-1, 2) and E is at point (1, -2).
</span><span>It can be seen that points D E is a result of refrecting points A B
across the y-axis and then the x-axis.
</span><span>Thus, given point C as (2, 3),
refrection of point C across the y-axis will result in point (-2,
3) and then reflecting the resulting point across the x-axis will
result to point (-2, -3).
</span>Therefore, the coordinate for 'F' that would make triangle A B C and triangle D E F congruent is (-2, -3).
Answer:
Test statistics
Step-by-step explanation:
A test statistic is calculated to compare with the critical value approach. The critical value is found by choosing any value of significance level ∝ = 0.05, 0.1 or 0.01 . Mostly 5% is preffered .
The the calculated value of the test statistic is compared with the chosen value rejection region that whether it falls in the critical region or not.
The test statistic is applied on the conditions given. For example comapring many results can be done by using chi square or comparing two means can be done by t test or testing the variation can be done by F - test.
In the given problem a z test would be used.
Answer:
P=1/65.
Step-by-step explanation:
We knaow that one coin in a collection of 65 has two heads. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row. We calculate the probability that it is the two-headed coin.
We calculate the number of possible combinations:

Number of favorable combinations is 1.
Therefore, the probability is
P=1/65.
Answer:
it's option B 42,938
Step-by-step explanation:
in the question the value of 2 in 135,284 is 200
200× 10 =2000
therefore the number with 2 in thousands place is option B 42,938
Answer: A is 88
Step-by-step explanation:
Sum of all angles is 180 degree.
Let the third interior angle be x.
38+50+x=180
88+x=180
x= 92
A and X are in linear pair.
A+X=180
A+92=180
A=88