Answer:
c
Step-by-step explanation:
The red graph is the black graph translated vertically by 1 unit
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus f(x) + 1
Note
y - 1 = f(x) ← add 1 to both sides
y = f(x) + 1 ← as required
The equation of the red graph is
y - 1 = f(x) → c
Answer:
90
Step-by-step explanation:
In the quadrilateral formed by two tangents and the associated radii, the central angle and the external angle are supplementary. Here, that means that x° is supplementary to itself, so must be 90°.
x = 90
Answer:
134 degrees
Step-by-step explanation:
Line PQS is 180 degrees. That being said, the addition of <PQR and <SQR equal 180 degrees.
Now you need to set up an equation to find out what angle PQR is. Since there is an X, you need to solve for X. The equation looks like this:

<u>Solve for x</u>

Now plug in 43 where you see x. For this question, you only need to focus on (3x+5)
3(43) + 5 = 134
m<PQR = 134°
Do this every, single, time when you see these questions. Remember that line PQS is 180 degrees, and both of those angles are equal to 180 degrees.
If you want to check if this is true, plug in 43 into our equation we made to see if it equals 180 degrees. <em>If it doesn't equal 180, your equation is incorrect.</em>
<em />
3(43)+5+43+3 = 180
134 + 46 = 180
180 = 180 ✅
Answer:
no, yes, yes , no, yes
Step-by-step explanation: