<h3>
Answer:</h3>
C (see attached)
<h3>
Step-by-step explanation:</h3>
The linear portion of the graph is defined for x ≥ 1, with the point x=1 included. Only selections A and C do that.
The quadratic portion of the graph is defined for x < 1. Only selection C does that. (Selection A is doubly-defined for x > 1, so is not a function. It is undefined for x < 1.)
Answer:
m∠P ≅ m∠L; this can be confirmed by translating point P to point L.
Step-by-step explanation:
Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:
∠L=∠P
∠Q=∠M
∠N=∠R
Since the 2nd triangle made from dilation, it should maintain its orientation.
Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.
Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.
Option 3 and 4 definitely wrong because it speaking about length, not the angle.
Step-by-step explanation:
Mean of the origibal set = 20
No. of terms = 10
Sum = Mean x No. of terms
= 20 x 10 = 200
The sum of additional numbers to make the new set of observstion is 4 + 8 + 12...... + 40 = 220
New Sum = 200 + 220 = 420
The no of terms stay the same
New Mean = New Sum/ N
= 420/10
= 42
we know that
the perimeter of the rectangle is equal to

where
P is the perimeter of the rectangle
W is the width of the rectangle
L s the length of the rectangle
In this problem

Substitute the values in the formula above


therefore
the answer is
the length of the longer side of the rectangle is equal to 
Answer:
400000 + 10000 + 300 + 9
Step-by-step explanation:
Just simply take each place value and turn the rest after to zeros, but DO NOT include the zeros that are within the number. Zeros are unnecessary.
I am joyous to assist you anytime.