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:
the number of pensioners in the sample is 40
Step-by-step explanation:
The computation of the number of pensioners in the sample is shown below:
Given that
The Ratio of children to adult visitors is 1:2
The ratio of adults to pensioners is 3:4
And, the total number of seats is 85
Based on the above information,
The common ratios we could write as
1.5 : 3 : 4
Now we doubled it
3 : 6 : 8
So, the number of pensioners in the sample is
= 85 × 8 ÷ (3 + 6 +8)
= 40
Hence, the number of pensioners in the sample is 40
Answer:
this is a negative slope
Step-by-step explanation:
hope this helps!
<h2>Hello!</h2>
The answer is: [-2,2]
<h2>
Why?</h2>
The range of a function shows where the function can exist in the y-axis.
To know the range of the function, we have to isolate x,
So
The only possible values that y can take go from -2 to 2. Taking values out of these values will give as result a non-real number.
Therefore,
The range of the function is [-2,2]
Have a nice day!
9514 1404 393
Answer:
congruent
Step-by-step explanation:
Angles supplementary to the same angle are congruent.
__
Here, angles 1 and 3 are both supplementary to angle 2, so ...
angle 1 and angle 3 are congruent
