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just olya [345]
2 years ago
7

Which congruence criteria is met in the following scenario?

Mathematics
1 answer:
Arisa [49]2 years ago
7 0
None because the triangles have different lines
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The world’s largest round pizza was set in December 2012 by five Italian chefs. The diameter of this pizza was 131 feet. If this
Tems11 [23]

First find the area of the whole pizza.

The formula for area of a circle is Area = PI x r^2

The diameter is given as 131 feet, so r would be 131/2 = 65.5 feet.

I will use 3.14 for PI since the problem doesn't say what value to use.


Area = PI x 65.5^2

Area = 3.14 x 4290.25

Area = 13,471.39 square feet


Divide the total area by the number of pieces:

13,471.39 / 50 = 269.43 square feet


To find the length of the crust first find the circumference of the whole pizza:

Circumference = PI x diameter

Circumference = 3.14 x 131 = 411.34 feet

Now divide the total by the number of pieces:

411.34 / 50 = 8.23 feet


Each slice has an area of about 269.43 square feet and a crust length of 8.23 feet.


8 0
3 years ago
Which equation represents the line that passes through (–8, 11) and (4,7/2 )? A. y =-5/8x + 6 B. y =-5/8 x + 16 C. y = -15/2x –
Dafna11 [192]
Which equation represents the line that passes through (–8, 11) and (4,7/2 )?
☆☆☆☆☆☆☆☆☆☆☆☆☆☆A. y =-5/8x + 6
B.y =-5/8 x + 16
C. y = -15/2x – 49
D. y =-15/2 x + 71

4 0
3 years ago
What are the vertical asymptotes of the function f(x) = 2x + 8 / x2 + 5x + 6?
Irina18 [472]
I'm assuming the function is f(x) = (2x+8)/(x^2+5x+6). If so, make sure to use parenthesis to indicate that you're dividing all of "2x+8" over all of "x^2+5x+6" as one big fraction. Otherwise, things are ambiguous and it leads to confusion.

Side Note: x^2 means "x squared"

Factor the numerator: 2x+8 = 2(x+4)
Factor the denominator: x^2+5x+6 = (x+2)(x+3)

There are no common factors between the numerator and denominator. So there is nothing to cancel out. 

Recall that you cannot divide by zero. Something like 1/0 is undefined. 
We need to find the x values that cause the denominator to be zero.
Set the denominator equal to zero and solve for x
x^2+5x+6 = 0
(x+2)(x+3) = 0
x+2 = 0 or x+3 = 0
x = -2 or x = -3

The x values x = -2 or x = -3 will lead to the denominator being zero. This means that the vertical asymptotes are x = -2 or x = -3 as shown by the blue dashed vertical lines in the attached image.

4 0
3 years ago
PLZZZ HELP!!!<br> what is the slope of the line
jenyasd209 [6]

Answer:

0

Step-by-step explanation:

The slope of a line is   Change in y

                                     --------------------

                                       change in x

y does not change

                                    0

                                   ------

                                    change in x

Slope = 0

Horizontal lines have 0 slope

Vertical lines have undefined slope

4 0
3 years ago
Rewrite the expression using the Distributive Property.
Nostrana [21]
The Distributive Property states: a(b+c) = ab+ac.

5(6+12) is the expression.

5•6+5•12 is the product of the Distributive Property.

30+60 is the product of multiplication.

Therefore, 30+60 is the correct answer.

• We just distributed the 5 to the 6 and 12 because the entire expression of 6+12 is being multiplied by the 5, hence there are parentheses.

Feel free to mark Brainliest!
8 0
2 years ago
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