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Snezhnost [94]
3 years ago
7

ABCD is a parallelogram. Determine the length of AD. ANSWERS: A) 2.5 units B) 10 units C) 11 units D) 5 units

Mathematics
1 answer:
noname [10]3 years ago
6 0

Answer:

D) 5

Step-by-step explanation:

Since 2x = x+5, we have x = 5.

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Which number line below shows points labeled correctly from least to greatest?
Misha Larkins [42]

Answer: C

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
At a pizza Parlour, you can order single, double, triple cheese in the crust. You also have the option to include ham, olives, p
ki77a [65]

Answer:

381 different types of pizza (assuming you can choose from 1 to 7 ingredients)

Step-by-step explanation:

We are going to assume that you can order your pizza with 1 to 7 ingredients.

  • If you want to choose 1 ingredient out of 7 you have 7 ways to do so.
  • If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so
  • If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so
  • If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so
  • If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so
  • If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so
  • If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so

So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127  ways of selecting ingredients.

But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.

Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.

Therefore, there are 381 different types of pizza.

3 0
3 years ago
Josie found a job with an annual salary of $67.3K. What is her monthly pay, rounded to the nearest dollar?
Zina [86]

Answer:

$5,608

Step-by-step explanation:

Since there are 12 months in one year, divide her annual salary by 12.

$67,300/12 = $5,608.33 ≈ $5,608

Josie makes $5,608 per month.

7 0
3 years ago
Read 2 more answers
PLEASE HELP
Lina20 [59]

Answer:

(0 , 3)

Step-by-step explanation:

simplify the equation

y = \frac{3}{2}x + 3

7 0
3 years ago
Please show your work and explain it.
Maru [420]

Answer:

f(x)=\dfrac{x+2}{2(x-2)}

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}

Next we factor what we can so we can further simplify the rest of the equation:

=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\

We can now cancel out (x+2)

=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}

Next we factor out even more:

=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

=\dfrac{(x+2)(1)}{(x-2)(2)}

And we can now simplify it to:

=\dfrac{x+2}{2(x-2)}

6 0
3 years ago
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