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Nookie1986 [14]
3 years ago
10

Drag and drop a reason to each box to complete the proof ?

Mathematics
1 answer:
den301095 [7]3 years ago
4 0

1. Vertical angles are congruent: a) we're proving that <em>two angles are congruent </em>(we use ≅), and it just happens that those two angles are <em>vertical </em>(opposite angles on two intersecting lines).

2. SAS congruence: It is one of the last three, since we're trying to prove the <em>triangles' congruence</em>, and it is <em>SAS</em>, because our given gives us <em>two pairs of congruent lines</em>, and we find that the angle <em>between</em> them are congruent.

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The population of a town increased by 15% in 2016, and decreased by 5% in 2017. If the population of the town was 60,000 in the
nikdorinn [45]

Answer:

The population of the town at the end of 2017 was 65,550.

Step-by-step explanation:

The population of the town was 60,000 in the beginning of 2016.

In 2016, the total population is increased by 15%.

60,000\times\frac{15}{100}=9000

Therefore the population is increased by 9000 and the population of the town at the end of 2016 was

60,000+9000=69,000

In 2017, the total population is decreased by 5%.

69,000\times\frac{5}{100}=3450

Therefore the population is decreased by 3450 and the population of the town at the end of 2017 was

69,000-3450=65,500

Therefore the population of the town at the end of 2017 was 65,550.

3 0
4 years ago
A pharmaceutical company prefers experimental studies to conducting surveys or observational studies. what is most likely the re
never [62]
Pharmaceutical companies prefers experimental studies to conducting surveys and observational studies because companies can manipulate or suggest methods easily to have good outcomes and they are able to directly observe the results. Experimental studies is a type of study in which a procedure and method is intentionally introduced.
8 0
3 years ago
Read 2 more answers
Which represents a quadratic function?
irinina [24]

Answer:

Option 2 is the correct answer

Step-by-step explanation:

A quadratic function is a function in which the highest power to which the variable is raised is 2

1) f(x) = −8x3 − 16x2 − 4x

The given function is a cubic function because the highest power

to which the variable,x is raised is 3

2) f(x) = 3x²/4 + 2x - 5

The given function is a quadratic function because the highest power

to which the variable,x is raised is 2

3) f(x) = 4/x² - 2/x + 1

It can be rewritten as

f(x) = 4x^-2 - 2x^-1 + 1

The given function is not a quadratic function because the highest power to which the variable,x is raised is - 2

4) f(x) = 0x2 − 9x + 7

It can be rewritten as

f(x) = - 9x + 7

The given function is not a quadratic function because the highest power to which the variable,x is raised is 1

3 0
4 years ago
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What is 20 times 18 1/3
hodyreva [135]
The answer is 120.............
5 0
3 years ago
Find the local minimum and maximum
katovenus [111]
Local min:(-1.25,-16),,,,,(2.5,-3)
local max:(1,4)

8 0
3 years ago
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