P=69 degrees
Q=71 degrees
R=40 degrees
Explanation
All triangles equal up to 180 degrees.
First add all numbers without x.
Then add all xs.
5x+20=180
Subtract 20 from 180
5x=160
Divide 160 by 5
x=40
That would be 6 and 6/8 inches
Answer:
-3
Step-by-step explanation:
23=-5x+8
23-8=-5x
15=-5x
x=-3
Answer:
y=tan x and y=cotx
Step-by-step explanation:
We are given functions of all trignometric ratios and asked to find out which has range of all real numbers. Let us discuss one by one
1. y =sinx: False because -1≤sinx≤1 always
2. y=cosx:False because -1≤cosx≤1 always
3. y = tanx: True because tanx can take any value
4. y=cot x: True because cots x can take any value
5. y = csc x: False because this range does not lie between -1 and 1
6. y=sec xFalse because this range does not lie between -1 and 1
Answer:
Step-by-step explanation:
In order to identify the equation of line from the given graph, we need to find the slope and the y-intercept.
Slope of a line is the ratio of rise to run or change in 
over change in 
.
The y-intercept is a point on the line for which the value is 0. In other words, it is on the y-axis.
Here, from the graph,
y-intercept is at point (0,4). So, y-intercept is the value which is,
.
Also, slope is given as, 
Therefore, the equation of the line is:
