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3 years ago

The following is an incomplete paragraph proving that the opposite angles of parallelogram ABCD are congruent:

Mathematics

1 answer:

shusha [124]3 years ago

8 0

For a better understanding of the answer to the question provided here kindly check the diagram that has been attached here.

The attached diagram has the complete construction details as has been asked to do in the question.

Let us now begin answering.

As can be clearly seen from the attached diagram angles PBC and BAD are congruent by the Corresponding Angles Theorem AB acts as the transversal for the lines BC and AD which are parallel.

Also, it can be clearly seen that the angles ABC and BAT are congruent by the Alternate Interior Angles Theorem as AB acts as the transversal for the lines BC and TAD which are parallel.

Thus, the only option from the given list of options which matches the answer is Option A.

Thus, Option A is the correct option and thus the final answer.

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4 years ago

Read 2 more answers

-1 3/5 divided by (-2/3) write as mixed number

hichkok12 [17]

Step-by-step explanation:

$- 1 \frac{3}{5} \div \frac{ - 2}{3}$

Convert the mixed numbers above to improper fractions. Thus:

$\frac{ - 8}{5} \div \frac{ - 2}{3}$

In order to simplify the fractions above, the division sign changes to multiplication sign thus turn the right hand side of the fraction inversely such that -2/3 to -3/2. Hence,

$\frac{ - 8}{5} \times \frac{ - 3}{2}$

$\frac{ - 8 \times - 3}{5 \times 2}$

$= \frac{24}{10}$

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3 0

3 years ago

Please help hurry i will mark brainlyest

kvasek [131]

Answer:

$P_{native}\:=\:3.186\times10^8$

Step-by-step explanation:

Population that didn't immigrated = Total Population - Population that immigrated

$P_{native}\:=\:P_{total}\:-\:P_{immigrants}$

$P_{native}\:=\:3.2\times 10^8-1.4\times 10^6$

$=3.2\times 10^8-1.4\times 10^6\times \frac{100}{100}\\\\=3.2\times 10^8-\frac{1.4}{100}\times 10^6\times 10^2\\\\=3.2\times 10^8-0.014\times 10^{6+2}\\\\=3.2\times 10^8-0.014\times 10^8\\\\=10^8\left(3.2-0.014\right)\\\\=3.186\times10^8$

5 0

3 years ago

The sum of 1/6, 2/3, and 1/4 is

nataly862011 [7]

it would be 13/12 because 2/12+8/12+3/12= 13/12

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4 years ago

Vhat is the equation of the line that is parallel to the

ozzi

Step-by-step explanation:

second one because

only x+2y=8 passes through the point (2,3)

the proof is 2+2*3=2+6=8

if we replace the given point to the other equations we will take wrong results for example

first equation

x+2y=4. 2+2*3=2+6=8 that is not equal to 4

5 0

3 years ago