Given:
The figure of a construction.
To find:
The correct option that represents the given construction.
Solution:
In the given figure, the given angle is angle CAB.
The steps for the given figure are:
1. Draw a ray PQ.
2. Mark an arc BC on the given angle and mark the same arc on the line and the intersection of line and arc is point Q.
3. Set the compass of the length BA.
4. Put the compass on the point Q mark arc that intersect the first arc. The intersection of arcs is R.
5. Draw a ray PR.
These are the steps of construction to copy an angle.
Therefore, the correct option is A.
To write this equation, you need use the formula y=mx+b.
m represents the slope and b represents the y intercept.
The y intercept is the point where the line touches the y axis. In this case, the y-intercept is 1.
The slope is just rise over run from one coordinate to another. The slope is 2/-1 which could be simplified as -2. The slope just means that we are going up 2 and left 1 to get to a new coordinate.
The equation is y=-2x+1
Have a good day! :)
Answer:
Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.
Step-by-step explanation:
We are asked to describe the transformation of function
as compared to the graph of
.
We can write our transformed function as:


Now let us compare our transformed function with parent function.
Let us see rules of transformation.
,
,
Scaling of a function: 
If a>1 , so function is stretched vertically.
If 0<a<1 , so function is compressed vertically.
As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.
As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.
Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.
First, it is to be understood that logarithms allow a person to subject a number as an exponent of a base. As an example of ways in which logarithm is used to aid us in difficult calculations is when we calculate for the pH of a substance which has a formula of,
pH = -log[H+]
<h3>
Answer: 110 degrees</h3>
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Work Shown:
x = measure of minor arc CL
angle J = ( (far arc) - (near arc) )/2
angle J = ((red arc) - (yellow arc))/2
angle J = ( (minor arc CL) - (minor arc CK) )/2
35 = ( x - 40 )/2
35*2 = x-40
70 = x-40
x-40 = 70
x = 70+40
x = 110
Minor arc CL = 110 degrees