1)
evaluate when x = 6
5 + x
so when x = 6 then 5 + 6 = 11
answer
11
2)
2/6
in lowest term = 1/3 (divide top and bottom by 2)
3)
evaluate when x = 1
8 + x
so when x = 1 then 8 + 1 = 9
answer: 9
4)
14/48
lowest term = 7/24 (divide top and bottom by 2)
Answer:
all you had to do is make the x to 2
Step-by-step explanation:
F(2) = -12(3)^2
F(2) = -108
The statement that correctly compares the angle measures m∠ABD = m∠ABE. The correct option is A. m∠ABD = m∠ABE
<h3>Measure of angles</h3>
From the question, we are to determine the statement that correctly compares the angle measures
From the information,
Point E is added to the given figure so that point E <u>lies on segment BD</u> and it is <u>exactly halfway</u> between points B and D
From this, we can infer that
m∠ABD = m∠ABE
and
m∠DBC = m∠EBC
This is because, point E lies on segment BD and it does not affect the angle measures
Hence, the statement that correctly compares the angle measures m∠ABD = m∠ABE. The correct option is A. m∠ABD = m∠ABE
The complete and correct question is attached
Learn more on Angle measures here: brainly.com/question/25928670
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Answer:
<em><u>First part: </u></em><em><u>0.35 miles per minute</u></em>
<em><u>Second part: </u></em><em><u>3.5 miles in 10 minutes</u></em>
Step-by-step explanation:
<em>Think about this as a fraction. Fractions can't be added nor subtracted unless they share the same denominator.</em> So for this case, we have to turn hours into minutes. So 21 mph becomes 21 miles per 60 minutes. Then, we divide 60 from each side to find the speed per minute. 21/60 = 0.35, so the answer to the first part is <u>0.35 miles per minute</u>.
<u>Using what we got</u>, we can answer the second part of the distance covered in 10 minutes. So, we just <em><u>multiply</u></em> 0.35 by 10 which is <u>3.5 miles covered in 10 minutes</u>.
Answer: Wendy spent 4 hours on the train
Step-by-step explanation:
Let x represent the time that Wendy spent on the bus.
Let y represent the time that Wendy spent on the train.
Distance = speed × time
The bus averaged 40 mi/h. This means that distance travelled by the bus is 40x
The train averaged 60 mi/h. This means that distance travelled by the bus is 60y
Wendy took a trip from devenport to ohama, a distance of 300mi. This means that
40x + 60y = 300- - - - - - - - - - - - -1
The entire trip took 5 1/2(5.5) h. This means that
x + y = 5.5
Substituting x = 5.5 - y into equation 1, it becomes
40(5.5 - y) + 60y = 300
220 - 40y + 60y = 300
- 40y + 60y = 300 - 220
20y = 80
y = 80/20
y = 4
x = 5.5 - y = 5.5 - 4
x = 1.5
