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Anastasy [175]
2 years ago
12

Which property of equality can be used to justify this step?

Mathematics
2 answers:
Aleonysh [2.5K]2 years ago
6 0
C. Addition property of Equality
podryga [215]2 years ago
4 0
C. Addition Property of Equality
because you are adding 10x to both sides
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Can you figure out the formula
puteri [66]

If "a" and "b" are two values of x-coordinate, and "m" is the midpoint between them, it means the distance from one end to the midpoint is the same as the distance from the midpoint to the other end

... a-m = m-b

When we add m+b to this equation, we get

... a+b = 2m

Solving for m gives

... m = (a+b)/2

This applies to y-coordinates as well. So ...

... The midpoint between (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2)

_____

Jennifer had (x1, y1) = (-4, 10) and (x2, y2) = (-2, 6). So her calculation would be

... midpoint = ((-4-2)/2, (10+6)/2) = (-6/2, 16/2) = (-3, 8)

Brandon had (x1, y1) = (9, -4) and (x2, y2) = (-12, 8). So his calculation would be

... midpoint = ((9-12)/2, (-4+8)/2) = (-3/2, 4/2) = (-1.5, 2)

4 0
2 years ago
The city of Anvil is currently home to 21000 people, and the population has been growing at a continuous rate of 4% per year. Th
Yanka [14]

Answer:

They'll reach the same population in approximately 113.24 years.

Step-by-step explanation:

Since both population grows at an exponential rate, then their population over the years can be found as:

\text{population}(t) = \text{population}(0)*(1 + \frac{r}{100})^t

For the city of Anvil:

\text{population anvil}(t) = 21000*(1.04)^t

For the city of Brinker:

\text{population brinker}(t) = 7000*(1.05)^t

We need to find the value of "t" that satisfies:

\text{population brinker}(t) = \text{population anvil}(t)\\21000*(1.04)^t = 7000*(1.05)^t\\ln[21000*(1.04)^t] = ln[7000*(1.05)^t]\\ln(21000) + t*ln(1.04) = ln(7000) + t*ln(1.05)\\9.952 + t*0.039 = 8.8536 + t*0.0487\\t*0.0487 - t*0.039 = 9.952 - 8.8536\\t*0.0097 = 1.0984\\t = \frac{1.0984}{0.0097}\\t = 113.24

They'll reach the same population in approximately 113.24 years.

4 0
3 years ago
Please answer need help
12345 [234]

Answer: The third one is the correct answer

Step-by-step explanation: I hope this helps

4 0
2 years ago
Read 2 more answers
Peggi put some hairbows in 6 party bags. Her sister Tori put 2 more
irga5000 [103]

Answer:

Peggi put a total of 18 hair bows in the bag

Step-by-step explanation: There at six bags with an unknown amount of hairbows in each bag. You add 2 to each bag and you will end up getting 12 hairbows from her sister because 6x2=12. then you subtract the total (30) from her sister Toris amount (30-12) this equals 18.

5 0
3 years ago
!!! I NEED HELP ASAP!!! Please can you help me fill in this chart for 45-45-90 and 30-60-90 triangles I know how to do the first
Marina86 [1]

Answer:

u add 45 + 45 +90 that’s 180 and all triangles equal 180

Step-by-step explanation:

8 0
2 years ago
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