QP=24 cm
RS=11.25 cm
QS=18.75 cm
<u>Explanation</u>:
Given that TQ bisects <RTP
(1)
consider ΔRQS and ΔRPT
QS||PT,RP and RT are transversals
(alternate angles)(2)
comparing (1) and (2)
and triangle SQT is isocelus
Therefore SQ=ST(sides opposite to equal angles in an isocelus triangle)
Therefore <RQS=<RPT(corresponding angles)
<RSQ=<RTP(corresponding angles)
therefore by AA criterion for similarity
ΔRQS~ΔRPT
According to the property of similar triangles
The amount of electricity required to run the manufacturing operations and lighting is given by: y = 12 x + 24.
When no parts are manufactured : x o= 0.
y o = 12 * 0 + 24
y o = 24
Answer:
( x o, y o ) = ( 0, 24 )
When no parts are manufactured, 24 watts is used ( only for lighting the facility ).
The greatest common factor of 8 and 52 is 2.
<span><span>8: 222 </span><span>50: 2 55</span><span>GCF: 2 <span>
</span></span></span>
Answer:
1_11/20 pounds, or 1.55 pounds.
Step-by-step explanation:
Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.
Answer:
x=-5
Step-by-step explanation:
Add 22x to both sides: -8x+100=140
Subtract 100 from both sides: -8x=40
Divide both sides by -8: x=-5
So the answer is x=-5
