first we represent the unknowns using variables:
let x = measure of angle 4
let 3x+4 = measure of angle 3 (from the second statement)
then we set-up the equation. since the angles form a linear pair, their sum is equal to 180 degrees. therefore,
x + 3x + 4 = 180
4x + 4 = 180
4x = 176
x = 44 degrees (measure of angle 4)
3x + 4 = 136 degrees (measure of angle 3)
12+.5 each day is the answer for the first part of the question
The given line (in blue) is a vertical line, so it is in the form
Ax=C (i.e. with the y-term missing).
Since we know that the line passes through (-2,2), and (-2,-3), this means that all points on the line has the x-coordinate equal to -2 (characteristic of vertical lines).
The equation is therefore
x=-2, or alternatively
x+2=0
Answer:
Option B.
Step-by-step explanation:
Note: The function f(x) is not in correct format it must be 
.
It is given that two different plants that grow each month at different rates are represented by the functions f(x) and g(x).
Let as consider the two functions,
Now, table of values is
Month(x)
1 3 17
2 9 22
3 27 27
4 81 32
From the above table it is clear that in first and second month the height of the f(x) plant is less than of g(x).
In month 3, heights are equal.
In month 4, height of the f(x) plant exceed that of the g(x) plant.
Therefore, the correct option is B.
Answer:
ΔBLG ≅ ΔPFX
Step-by-step explanation:
Here it is given that ∠B≅<P.
Also its given that
BL ≅PF
The angle opposite BL is ∠G
The angle opposite PF is ∠X
∠G ≅ ∠X
Again
BG ≅PX
The angle opposite BG is ∠L
The angle opposite PX is ∠F
So ∠L ≅ ∠F
Hence B in place of P
L in place of F
G in place of X
So for ΔPFX, the corresponding triangle is ΔBLG
Hence
ΔBLG ≅ ΔPFX
