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Tems11 [23]
2 years ago
7

Which statement is an example of the symmetric property of congruence

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
4 0

9514 1404 393

Answer:

  B.

Step-by-step explanation:

The symmetric properties of equality and congruence let you swap sides of the equality/congruence symbol without changing the truth of the statement:

  A ≅ B   ⇔   B ≅ A

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15PTS PLEASE HELP ASAP!<br> (dont write random answers pls)
Anna35 [415]

Answer:

c

Step-by-step explanation:

3 0
2 years ago
F(t)=t^2+19t+60<br> What are the zeros of the function and what is the vertex of the parabola?
SVEN [57.7K]

Answer: -4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)

Step-by-step explanation:

Given

Function is F(t)=t^2+19+60

Zeroes of the function are

t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15

Using completing the square method

y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)

4 0
2 years ago
Please help me with this question , thanks so much
riadik2000 [5.3K]

Answer:

umm the answer is 18x+2y²

8 0
3 years ago
Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
Gwar [14]

Answer:

x = - 2, x = 6

Step-by-step explanation:

Given f(x) = 18 we require to solve

3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )

3 | x - 2 | = 12 ( divide both sides by 3 )

| x - 2 | = 4

The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus

x - 2 = 4 ( add 2 to both sides )

x = 6

OR

- (x - 2) = 4

- x + 2 = 4 ( subtract 2 from both sides )

- x = 2 ( multiply both sides by - 1 )

x = - 2

As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

Hence solutions are x = - 2, x = 6

7 0
2 years ago
Read 2 more answers
A florist is creating centerpieces for an upcoming event later this evening. She has already been working for two hours and has
Ratling [72]
Since, she has already been working for two hours (120 minutes) and has budgeted only 6 hours (360 minutes) to create the centerpieces.

Since, each centerpiece takes 15 minutes to make, the time it takes her to make x centerpieces is given by 15x.

Therefore, the correct inequality representing the situation is given by 120 + 15x <span>≤ 360.</span>
7 0
2 years ago
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