Answer:
21.38
Step-by-step explanation:
Find the diagram attached
In order to get PS, we need to get the length of QS first
According to triangle QRS;
QS =opposite
QR = 39(adjacent)
Using SOH CAH TOA
Tan theta = opp/adj
Tan 28 = QS/39
QS = 39tan28
QS = 39(0.5317)
QS = 20.74
Get PS
sin theta = QS/PS
sin 76 = 20.74/PS
PS = 20.74/sin76
PS = 20.74/0.9703
PS = 21.38
Hence the length of PS is 21.38
<span>To find the next week in which all three coincide, look for the lowest common multiple of the numbers 2,3, and 6. Two has multiples of (2,4,6,8,10,12), three has (3,6,9,12,15,18), and 6 has (6,12,18,24). The lowest number that is common to all three values is 6, so Clea will attend all three in the same week 6 weeks from now.</span>
Answer:
6
Step-by-step explanation:
Answer:
m<U = 
Step-by-step explanation:
From the given question, it can be observed that angles U and W are supplementary. These are angles that add up to 
.
So that;
<U + <W =
(8x + 9) + (8x - 5) =
16x + 4 =
16x = - 4
16 x = 176
x = 
= 
The measure of angle U = (8x + 9)
= 8(11) + 9
= 88 + 9
=
Thus, the measure of angle U is .
