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:
0.8 OR 
Step-by-step explanation:
The reciprocal of any number is the number that it multiplies by to equal 1.
The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.
E.g.
No. X/Y * Y/X (its reciprocal) = 1
So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.
1.25 = 125/100
Now we just flip 5/4 to get our reciprocal:
= 0.8
Test: 0.8 * 1.25 = 1
The reciprocal of 1.25 (
) is 0.8 ().
Hope this helped!
This is an arithmetic sequence, since it's pattern is +4.
n1 = 1
d = 4
n = 1 + (n-1)(4) <-------------- This is the formula for the nth term of the sequence.
Answer:
A.The data should be treated as paired samples. Each pair consists of an hour in which the productivity of the two workers is compared.
Explanation:
If the mean productivity of two workers is the same.
For a random selection of 30 hours in the past month, the manager compares the number of items produced by each worker in that hour.
There are two samples and the productivity of the two men is paired for each hour.
