X = 5/3 and m∠SPY = 8 1/3°.
Since PQ bisects the angle, the two angles formed by the bisector are equal:
11/2x - 5 = 4x - 5/2
We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5
Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5
Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5
Divide both sides by 3:
3x/3 = 5/3
x = 5/3
Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:
11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2
We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°
Answer:
4 1/3
Step-by-step explanation:
Hope this helps :)
Answer:
6
Step-by-step explanation:
root 36, is 6
6 times 6 = 36
so x is 6
Answer:
a) The study suggests a negative correlation because the study shows that as time spent on social networking websites Increases, grade point average tends to decrease.
b) While it is possible that there is a cause and effect relationship, it is not necessarily the case.
Step-by-step explanation:
Since the study submitted that, students who rarely never used social networking websites had higher grade point averages than students who use social networking websites. It implies a negative relationship. Thus, the option given above is the correct answer.
Similarly, the study might imply some cause and effect relationship but it is not necessarily to be the case. <em>That is, low grade point could result into more time with social networking website. </em><em>This is not necessary to be TRUE!</em>
which can be simplified to 
