Answer:
See answers below
Step-by-step explanation:
Given the following functions:
r(x) = x - 6
s(x) = 2x²
r(s(x)) = r(2x²)
Replacing x with 2x² in r(x) will give;
r(2x²) = 2x² - 6
r(s(x)) = 2x² - 6
(r-s)(x) = r(x) - s(x)
(r-s)(x) = x - 6 - 2x²
Rearrange
(r-s)(x) = - 2x²+x-6
(r+s)(x) = r(x) + s(x)
(r-s)(x) = x - 6 + 2x²
Rearrange
(r-s)(x) = 2x²+x-6
Answer:
Yes there is enough information to find both triangles DEF and DHG are congruent.
Both the triangles are congruent by SAS theorem of congruence.
Step-by-step explanation:
Lets have a look to both of the triangles.
And mention what are the given information in our question.
We have 
DEF and DHG.
Where
- FD
DG - ED DH
And we can see that 
(Vertically opposite angles).
So we have two sides equal and an angle between the two are equal.
Then we can say that through SAS property of congruence DEF and DHG are congruent 's
Answer: from 10 to 15
Step-by-step explanation: Toby didn’t run as much in those five minutes, compared to his other times.
<u>Answer-</u>
1 and 2 are congruent because they are a pair of corresponding angles
<u>Solution-</u>
When two lines are crossed by another line (called the transversal), the angles in matching corners are called Corresponding Angles.
<em>The parallel case</em>
-
If the transversal cuts across parallel lines, then corresponding angles have the same measure.
<em>The non-parallel case
-</em>
If the transversal cuts across lines that are not parallel, the corresponding angles have no particular relationship to each other.
In the given diagram, 1 and 2 are a pair of corresponding angles. And as the two lines are parallel, so 1 and 2 are congruent.
2.434 to 3 sigfigs = 2.43 .
