Given:
It is given that,
PQ ⊥ PS and
∠QPR = 7x-9
∠RPS = 4x+22
To find the value of ∠QPR.
Formula
As per the given problem PR lies between PQ and PS,
So,
∠QPR+∠RPS = 90°
Now,
Putting the values of ∠RPS and ∠QPR we get,
or,
or,
or,
or,
Substituting the value of in ∠QPR we get,
∠QPR =
or, ∠QPR =
Hence,
The value of ∠QPR is 40°.
Answer:
the 3 one is the correct answer
Step-by-step explanation:
Answer:
1 or 2
Step-by-step explanation:
1/6 < 1/2 (because 1/2 = 3/6 and 1/6 < 3/6)
2/6 < 1/2 (because 2/6 = 1/3 and if we convert these numbers to decimals, then 0.33 [2/6] < 0.5 [1/2])
Answer:
C. No, more than one output value x is assigned to the input y-value
Step-by-step explanation:
Given
х у
-3 -2
3 6
0 7
1 7
2 4
3 - 1
Required
State if the table shows x as a function of y
x being a function of y means
i.e. x represents the output while y represents the input of the function
Note that each value of y (input) must be assigned to separate values of x (output) for a function to be established
Having said;
Next step: We have to examine the x and y column
In the y column, the value 7 occurred twice (as shown below)
<em>х у
</em>
<em>0 7
</em>
<em>1 7
</em>
<em />
This implies that;
Input 7 gives output of 0 and 1.
<em>Hence, this is not a function.</em>
<em>Option C answers the question.</em>
First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21.
x - 5 = 21 ; x = 26
Thus, Kate initially had 26 paintings.