Answers:
- x = 11
- angle RQS = 106 degrees
- angle SQT = 74 degrees
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Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
- angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
- angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees
Note how the two results add to 106+74 = 180 to help confirm the answers.
Step-by-step explanation:
37.5% = 180people
100% = 180/37.5 x 100 = 480
answer: 480 people
Topic: percentage
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The number 5760 because when divided by 12 you get an answer of 480 and with 24 it is 240 and with 30 is 192.
Articles of clothing that the store received last Thursday is 84
<u>Solution:</u>
Given that
A clothing donation store received numerous articles of clothing on Thursday of last week.
The number of articles of clothing that the store received last Thursday is represented by the following expression:
4 (3x − 1) − 2 (6 + 2x)
Need to calculate articles of clothing that the store received last Thursday when x = 12.5
As on Thursday x = 12.5, need to substitute x = 12.5 in above equation to get number of articles received on Thursday.
On substituting x = 12.5, we get
4 ( (3 x 12.5 ) – 1 ) – 2 ( 6 + ( 2 x 12.5 ) )
=> 4 (37.5 – 1) – 2 (6 + 25)
=> 146 – 62 = 84
On substituting x = 12.5 , we are getting value of expression as 84.
Hence articles of clothing that the store received last Thursday is 84
To find the volume (area) of the watermelon (rectangular prism), you use the formula L*W*H. You would replace the letters with numbers so it is 10*2/3*9. When you multiply those numbers, your area is 60 inches squared. Hope I helped!
