Answer:
Hi, you didn't include the diagram for this question but please find it in the attachment.
PT = TR = TQ = 12
SQ = PR = 24
m∠QSR = m∠QPR = 23°
m∠STR = m∠PTQ = 134°
m∠SQR = 67°
Step-by-step explanation:
ST = 12 (given)
m∠PRS = 23° (given)
Now for the measures
TQ = ST = 12 (Reason is that point T represents a perpendicular bisector)
PT = TR = 12 (Diagonal SQ and PR are of the same length)
SQ = ST + TQ = 12 + 12 = 24
SQ = 24
PR = SQ = 24
m∠QPR = m∠PRS = 23° (alternate angles)
m∠PSR = 90° (right angle)
m∠QSR = 23° (base angles of an isosceles triangle)
m∠STR + m∠QSR + m∠PRS = 180° (sum of angles in a triangle)
m∠STR + 23° + 23° = 180°
m∠STR = 180° - 46° = 134°
m∠PTQ = m∠STR = 134° (vertically opposite angles)
m∠SQR + m∠QRS + m∠QSR = 180° (sum of angles in a triangle)
m∠SQR + 90° + 23° = 180°
m∠SQR = 180° - 113° = 67°
Answer: 14:6, 9 and 28:12
Hope this helps!
Answer:
dream is better
Step-by-step explanation:
A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed t
Answer:
0.681
Step-by-step explanation:
Let's define the following events:
S: a Carter office worker is rated satisfactory
U : a Carter office worker is rated unsatisfactory
ND: a Carter office worker is placed by Nancy Dwyer
DN: a Carter office worker is placed by Darla Newberg
We have from the original text that
P(S | ND) = 0.8, this implies that P(U | ND) = 0.2.
P(S | DN) = 0.65, this implies that P(U | DN) = 0.35. Besides
P(DN) = 0.55 and P(ND) = 0.45, then we are looking for
P(DN | U), using the Bayes' formula we have
P(DN | U) = 
= 
=0.681
Hi!
<h3>Expanded form is adding all of the digits. </h3>
So 365 is 300 + 60 + 5.
<h3>29.1</h3>
<u>20 + 9 + 0.1</u>
<h2>The answer is 20 + 9 + 0.1</h2>
Hope this helps! :)
-Peredhel
