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valentinak56 [21]
2 years ago
6

Which sequence of transformations creates a similar but not congruent triangle? Rotation and translation

Mathematics
2 answers:
sergey [27]2 years ago
6 0
Dilation and reflection
ryzh [129]2 years ago
6 0

Answer:

Dilation and reflection

Step-by-step explanation:

To have two congruent triangles you need to have:

1-Two angles and the sides between them respectively congruent

2-Two sides and the angle between them respectively congruent

Or

3- three sides respectively congruent

In every case of dilation we wont have any side congruent to the initial triangle, so neither 1, 2 or 3 will be true.

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A student wants to know how far above the ground the top of a leaning flagpole is. At high​ noon, when the sun is almost directl
MariettaO [177]

Answer:

15.43 ft

Step-by-step explanation:

To solve this question, one should use the concept of similar triangles.

The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem.  Therefore, the distance of the top of the pole to the ground is:

14 in = 1.1667 ft

1.1667x=6*3\\x = 15.43

The distance of the top of the pole to the ground is 15.43 ft.

4 0
2 years ago
The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by
Firdavs [7]

Answer:

(k-h)(x) = 4x - 8

Step-by-step explanation:

We know Profit = Revenue - Cost

Basically we gotta subtract cost function from revenue function and get the profit function.

The cost function is h(x) = 5x + 6

The revenue function is k(x) = 9x - 2

Hence, Profit is:

(k-h)(x) = (9x - 2) - (5x + 6)

(k-h)(x) = 9x -2 - 5x - 6

(k-h)(x) = 4x - 8

3 0
2 years ago
Read 2 more answers
A city distributes vehicle identification stickers using a combination of letters followed by a combination of​ digits, each of
gayaneshka [121]
A) 672750
B) 68250
C) 2960100

Explanation
A)  We have 26 letters from which to choose 4, and 10 digits from which to choose 2:
_{26}C_4\times_{10}C_2=\frac{26!}{4!22!}\times\frac{10!}{2!8!}=14950\times45=672750

B) We have 26 letters from which to choose 2, and 10 digits from which to choose 4:
_{26}C_2\times_{10}C_4=\frac{26!}{2!24!}\times\frac{10!}{4!6!}=325\times210=68250

C) We have 26 letters from which to choose 5, and 10 digits from which to choose 2:
_{26}C_5\times_{10}C_2=\frac{26!}{5!21!}\times\frac{10!}{2!8!}=65780\times45=2960100
5 0
2 years ago
Un guardia forestal divisa, desde un punto de observación A, un incendio en la dirección N27° 10’ E. Otro guardia, que se encuen
Inga [223]

Answer:

la distancia del punto de observación A al incendio = 5.5 millas

la distancia del punto de observación B al incendio = 3.8 millas

Step-by-step explanation:

La expresión esquemática de la pregunta se puede ver en la imagen adjunta a continuación :

Del siguiente diagrama;

Usando la sine regla:

\dfrac{sin \  F}{f} = \dfrac{sin  \ A }{a}

\dfrac{sIn \  79}{6} = \dfrac{sin \   63}{a}

a sin 79 = 6 sin 63

a =\dfrac{6 \times sin \ 63}{sin \ 79}

a =\dfrac{6 \times 0.8910}{0.9816}

a = 5.446 millas

la distancia del punto de observación A al incendio = 5.5 millas (a la décima más cercana)

\dfrac{sin \  F}{f} = \dfrac{sin  \ B}{b}

\dfrac{sin \  79}{6} = \dfrac{sin  \ 38}{b}

b sin 79 = 6 sin 38

b  = \dfrac{6 \times sin  \ 38}{sin \  79}

b  = \dfrac{6 \times0.6157 }{0.9816}

b = 3.7635 millas

la distancia del punto de observación B al incendio = 3.8 millas (a la décima más cercana)

8 0
2 years ago
Fiona has a play yard for her dog. She mows the yard in 8 equal rows. Each row has 41.75 square feet.
Georgia [21]

Answer: the answer that actually makes since is multiply 8 times 41.75 that also equals out to 334 which would be accurate

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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