Answer:
x = 16
Step-by-step explanation:
The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.
In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...
... m∠A +m∠B +m∠C = 180°
... (3x+6)° +50° +(9x -68)° = 180°
... 12x -12 = 180 . . . . . divide by °, collect terms
... x -1 = 15 . . . . . . . . . .divide by the coefficient of x
... x = 16 . . . . . . . . . . . add 1
_____
<em>Check</em>
m∠A = (3x+6)° = 54°
m∠C = (9x -68)° = 76°
The total of angles is 54° +50° +76° = 180°. . . . . as it should be
Answer:
8/21
Step-by-step explanation:
1- 2/7 - 1/3 = 21/21 - 6/21 - 7/21 = 8/21
Answer:
21,120 feet
Step-by-step explanation:
1 yard is = 3 feet so you multiply 3 by 7,040
Which is 21,120
Answer: 21,120
Hope this helps!
The method used to collect data for each scenario is observational study , secondary data , simulation .
<h3>What is Data Collection ?</h3>
The accumulation of data to perform research , experiment or any other study is called data collection
It is done by different methods.
While standing in front of the school, Jace recorded the number of students who walked, rode their bikes, took the bus, and were driven there. :
Because all feasible channels and techniques were investigated in order to get accurate data, this study is known as an observational study.
Noah conducted research to learn the data pertaining to the proportion of newborns having brown eyes. Since he didn't perform this directly, it is referred to as secondary data.
Lara repeatedly flipped two coins to see how many times two heads appeared because she knew she had a 25% chance of winning a contest. This is an example of simulation because she wanted to see if she would come up with the same outcome.
To know more about Data Collection
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38.94 rounded to the nearest tenth. To know if we should round up or down, we look to the number in the hundredths place. If that number is 5 or greater, we round up. If the number is 4 or less, we round down
38.94
The number is 4, so we round down. 38.94 becomes 38.9
65.45 rounded to the nearest tenth. To know if we should round up or down, we look to the number in the hundredths place. If that number is 5 or greater, we round up. If the number is 4 or less, we round down.
65.43
The number is 3, so we round down. 65.43 becomes 65.4
38.9+65.4= 104.3
If you were to estimate 38.94+65.43, we round the number to numbers that we can easily calculate in our head. 38.94+65.43 becomes 40+65
40+65=105
