1 year ago

25 points Lesson number 6A - assignment level 1003

Mathematics

1 answer:

Oduvanchick [21]1 year ago

6 0

Answer:

hchfugivivigivivuvi

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prove “if two angles of one triangle are congruent to two angles of a second triangle, the the third angles of the triangles are

arsen [322]

Assume that,

The two angles of one triangle are congruent to two angles of a second triangle.

To prove: The third angles of the triangles are congruent.

Since, two angles of one triangle are congruent to two angles of a second triangle.

Therefore,

$\begin{gathered} \angle C=\angle F \\ \angle A=\angle D \end{gathered}$

Adding these two we get,

$\begin{gathered} \angle C+\angle A=\angle F+\angle D \\ 180-\angle B=180-\angle E\text{ (Using angle sum property of a triangle)} \end{gathered}$

Cancelling 180 on both sides, we get

$\begin{gathered} \angle B=\angle E \\ \therefore\angle B\cong\angle E \end{gathered}$

Hence, if two angles of one triangle are congruent to two angles of a second triangle, the the third angles of the triangles are congruent.

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10 months ago

Write an<br> equation of the line that passes through each pair of points.<br> (-3,9), (-3,-5)

Fantom [35]

Answer:

x = -3

Step-by-step explanation:

x is -3 in all values so we just write an equation.

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2 years ago

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Write 5 consecutive integers of which x is the middle one

stich3 [128]

X-2, x-1, x, x+1, x+2

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2 years ago

Jonah calculates that the perimeter of the rectangle below is 6 1/4x - 3. Explain his error and include the correct expression.

Natalka [10]

Answer:

Jonah left out the other two sides!

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2 years ago

Compute 41, 42, 43, 44, 45, 46, 47, and 48. Make a conjecture about the units digit of 4n where n is a positive integer. Use str

padilas [110]

Answer:

The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even

Step-by-step explanation:

$4^1 = 4\\4^2 = 16\\4^3 = 64\\4^4 = 256 \\4^5 = 1024\\4^6 = 4096\\4^7 = 16384\\4^8 = 65536$

The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even

To prove this conjecture

$4^1 = 4\\4^2 = 16$ unit digit = 6

hence the property is true for ; n = 1 and n = 2 and also for every odd and even number ( i.e. from 1 to 8 )

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2 years ago