Two angles are called supplementary angles if the sum of two angles is 180 degrees and they form a linear pair.
Here we are given than angle P and angle Q are supplementary angles.
Sum of angle P and angle Q will be 180.
Angle P measures 5x and angle Q measures 3x – 12
Adding the two angles,
x=24
Angle P = 5x
Angle P =5*24 =120
Answer: Angle P is 120 degrees.
This is how I understood the question
Hope I helped!
If |2w - 3| > 5
then
2w - 3 < - 5 or 2w - 3 > 5
2w < - 5 + 3 or 2w > 5 + 3
2w < - 2 or 2w > 8
w < -2/2 or w > 8/2
w < -1 or w > 4
So the solution set is
S = { x E R : w < -1 or w > 4}
or using the interval notation
S = (- infinity, -1) U (4, + infinity).
I hope this helps. =)
Answer:
42 units
Step-by-step explanation:
If R is the midpoint of QS, then by definition, QR = RS. Since QR = 8x - 51 and RS = 3x - 6, set these equal to solve for x:
QR = RS
8x - 51 = 3x - 6
5x = 45
x = 9
Now that we know x = 9, we can plug this back into one of the expressions for QR or RS to find its length:
QR = 8x - 51 = 8 * 9 - 51 = 72 - 51 = 21
Since half of QS is 21, then the whole of QS is twice that:
2 * 21 = 42
The answer is thus 42 units.
<em>~ an aesthetics lover</em>
Answer:
if 8 loaves of bread costs $44.00 then 12 loaves will cost $66.00.
Step-by-step explanation:
you divide $44.00 by 8 which will give you $5.05 then you multiply $5.05 by 12.
