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: 50a+2
Step-by-step explanation:
1. Simplify 5a5a\5a5a to 1.
1+5×10a+10
2.Simplify 5×10a to 50a.
1+50a+10
3.Cancel 10.
1+50a+1
4. Collect like terms.
50a+(1+1)
5. Simplify.
50a+2
Answer:
Step-by-step explanation:
since
,
so the line is dog so we know the full line is 60 units long. The 2 parts (do and og) add up to the full length so we can make the equation:
(4x-3)+(2x+21)=60
6x+18=60
6x=42
x=7
if you need to fine do or og, just plug in x to its equation
Answer:(6,-1)
Explanation:The slope of the line can be calculated using the following formula:
slope =
We are given that:slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):slope =
= -0.75 ........> accepted choice
For point (2,8):slope =
= 0.75 ........> rejected choice
For point (-5,1):slope =
= 4/3 ........> rejected choice
For point (1,1):slope =
= -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)
