Answer:
Step-by-step explanation:
From the dot plot of start of school year,
Maximum value of the miles run = 10
Minimum value of the miles run = 5
Range of the data set = 10 - 5
= 5 miles
From the dot plot of End of school year,
Maximum value of the miles run = 10
Minimum value of the miles run = 6
Range of the data set = 10 - 6
= 4 miles
The range at the start of the year was 5 miles and the range at the end of the year was 4 miles.
<h3>
Answer: 41 degrees</h3>
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Explanation:
Angle BFE is 117 degrees. The adjacent angle to this (angle BFA) is 180-117 = 63 degrees since the two angles form a straight line, and must add to 180.
Now because BD is parallel to AE, we know that the alternate interior angles BFA and FBD are the same measure. This makes angle FBD to be 63 degrees.
We're told that segment BF bisects angle ABD. That indicates the two smaller pieces (angles ABF and FBD) are the same measure. Both are 63 degrees in this case.
Let x be the measure of angle DBC. This angle will add to angles ABF and FBD to form a 180 degree straight angle
(angleABF) + (angleFBD) + (angleDBC) = 180
(63) + (63) + (x) = 180
x+126 = 180
x = 180-126
x = 54
Angle DBC is 54 degrees.
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The last set of steps has us focus on triangle BCD. The three angles of any triangle always add to 180.
B+C+D = 180
54 + 85 + D = 180
139 + D = 180
D = 180-139
D = 41
Angle CDB is 41 degrees, and so is angle CEA as they are corresponding angles. Corresponding angles are congruent when we have parallel lines like this.
Therefore, angle E is 41 degrees.
The diagram is below showing all of the angles we found.
For the scatter plot on homework:
a) The relationship is that the test score will increase, if the time spent on homework increases.
b) The function is y=8x+40, and what we need to see is what the score will be if someone puts in 3 hours of homework, x=3 in this because it means the time spent on homework:
y=8(3)+40
y=24+40
y=64
c) The score would be 40% if no time was spent doing homework.
For the scatter plot on the rides:
a) y = -7/5x + 17.8
b) Anika worked 17.8 hours on Day 0
c) Decreased by 7/5 in a day.
Hope this helps, have a BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤
The time when the area will be safe again in the year 2086
<h3>What is a nuclear power plant?</h3>
A nuclear power plant is a plant that produces energy by the use of nuclear energy. In a nuclear plant we always have a nuclear fuel that is used in the plant. The fuel undergoes a fission reaction that enables the plant to be used for the production of electricity.
Now we know that a nuclear reaction is a case of exponential decay hence the y-intercept for this function is the decay constant of the function.
The time when the area will be safe again in the year 2086 because following the function;
f(x)=1000(0.5)^x/30 thus;
1000(0.5)^100/30
= 99.2 Kg
Learn more about nuclear decay:brainly.com/question/12224278
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