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VARVARA [1.3K]
3 years ago
8

Which statements must be true?

Mathematics
2 answers:
xenn [34]3 years ago
7 0

Answer:

CB || XY

AB || XZ

CA=\frac{1}{2}YZ (This wasn't an option you listed, but my test offered it)

Step-by-step explanation:

Verified correct with test results.

iVinArrow [24]3 years ago
5 0

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file:

Using the formula for Mid-point:

\bar{AB} || \bar{XZ} \\\\CA= \frac{1}{2} \ YZ\\\\\bar{CB} |||\bar{XY}

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Solve the equation by factoring: x2 − 7x + 12 = 0
Gnoma [55]

Answer:

x = 3 . . . or . . . x = 4

Step-by-step explanation:

The factored form is ...

(x -3)(x -4) = 0

The zero product rule tells you the solutions are the values of x that make the factors be zero:

x = 3

x = 4

_____

Comment on factoring

When the leading coefficient is 1, the coefficient of the x-term is the sum of the constants in the binomial factors, and the constant term is their product. You can see this by multiplying out the generic case:

(x +a)(x +b) = x^2 +(a+b)x + ab

What this means is that when you're factoring, you're looking for factors of the constant that add up to give the coefficient of the x-term. Here, the x-term is negative and the constant is positive, so both factors will be negative.

12 = -1×-12 = -2×-6 = -3×-4

The sums of these factor pairs are -13, -8, -7. Clearly, the last pair of factors of 12 will be useful to us, since that sum is -7. So, the binomial factors of our equation are ...

(x -3)(x -4) = 0

___

If the leading coefficient is not zero, the method of factoring is similar, but slightly different. Numerous videos and web sites discuss the method(s).

7 0
2 years ago
(6x – 10y + 12) – 3
Margarita [4]

6x-10y+9

Step-by-step explanation:

(6x – 10y + 12) – 3

6x-10y+12-3

subtract 12-3

6x-10y+9

8 0
3 years ago
Clare has 54$ in her bank account. A store credits her account with a 10$ refund. How much does she now have in the bank?​
s2008m [1.1K]
Clare now has $64 in her bank account.

54 + 10 = 64
6 0
3 years ago
Juan Jiménez le debe a Luis  $15, a José le debe $ 8 y a Dana $ 20 y a Juan Jiménez le debe $ 17 Ana,  $ 5 Daniela y $ 21 Pedro.
Lapatulllka [165]

Answer :

Los dos debe y le deben porgue son diffirentes personas. Cuando le pagen los tres Ana, 'daniela y Pedro puede pagarle a Luis, Jose y Juan

Step-by-step explanation:

Juan debe un total de  $43 a Luis, Jose y  Juan

Ana, Daniela y Pedro  le deben  a Juan  un total de $43  

5 0
3 years ago
1. A bag contains the letters of the word “PROBABILITY”.
Mama L [17]

Since "PROBABILITY" has 11 letters in it, then every letter has 1/11 chances of getting picked, so the chances of getting an O tile would be 1/11, same for getting a B tile. But if you were to get both of them consecutively, then the chances would be 1/11 of 1/11 because you have 1/11 of a chance to get and O and then 1/11 of a chance to get a B. So you would be looking for 1/11 of 1/11, which means multiplying the divisor, 11*11=121. Therefore, you should have 1/121 chance of getting an O and B tile.

6 0
3 years ago
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