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8090 [49]
3 years ago
10

Consider the figures below. Which of the following statements are true, given <S is congruent to <J and <N is congruent

to <E? Select all that apply.
<A is congruent to <O

Triangle SAN~TriangleJOE

Triangle SAN is congruent to Triangle JOE

SN is congruent to JE

The perimeter of Triangle JOE is half the perimeter of Triangle SAN

There exists a sequence of rigid motion that maps Triangle JOE onto Triangle SAN

There exists a sequence of rigid and non-rigid motions that maps Triangle SAN onto Triangle JOE

​

Mathematics
2 answers:
klasskru [66]3 years ago
7 0

Answer:

Just took it

Step-by-step explanation:

Dovator [93]3 years ago
6 0

Answer:

<A is congruent to <O

Triangle SAN~TriangleJoe

There exists a sequence of rigid motion that maps Triangle JOE onto Triangle SAN

Step-by-step explanation:

So sorry if i am wrong!! I hope this can help!

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Svet_ta [14]

Answer:

A = \int\limits^3__-3}{9}-{x^{2}} \, dx = 36

Step-by-step explanation:

The equations are:

y = x^{2} + 2x + 3

y = 2x + 12

The two graphs intersect when:

x^{2} + 2x + 3 = 2x + 12

x^{2} = 0

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To find the area under the curve for the first equation:

A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx

To find the area under the curve for the second equation:

A_{2} = \int\limits^3__-3}{2x + 12} \, dx

To find the total area:

A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx

Simplifying the equation:

A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).  

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