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polet [3.4K]
3 years ago
5

In the diagram below, ABC - DEC. What is the value of x? A 5 B. 3 C. 6 D. 4​

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{BC}{EC} = \frac{AC}{DC}, substituting values

\frac{21}{7} = \frac{24-x}{x} ( cross- multiply )

21x = 7(24 - x) ← distribute

21x = 168 - 7x ( add 7x to both sides )

28x = 168 ( divide both sides by 28 )

x = 6 → C

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Draw the graph of f(x) = (x − 1)2 − 2. Start by creating a table of ordered pairs for the function. Then plot the points from th
pogonyaev

The attached graph represents the graph of f(x) = (x - 1)^2 - 2

<h3>How to plot the graph?</h3>

The equation is given as:

f(x) = (x - 1)^2 - 2

Next, we set x to -2, -1, 0, 1 and 2.

So, we have:

f(-2) = (-2 - 1)^2 - 2 = 7

f(-1) = (-1 - 1)^2 - 2 = 2

f(0) = (0 - 1)^2 - 2 = -1

f(1) = (1 - 1)^2 - 2 = -2

f(2) = (2 - 1)^2 - 2 = -1

This means that the table of values is

x      f(x)

-2    7

-1    2

0    -1

1     -2

2    -1

Next, we plot the above points and connect them.

See attachment for the graph of f(x) = (x - 1)^2 - 2

Read more about graphs and functions at:

brainly.com/question/4025726

#SPJ1

7 0
2 years ago
A kiddie pool holds miniature plastic ducks in different colors. Sophia randomly picks up a duck and then replaces it. She repea
pentagon [3]

Answer:

C OR D

Step-by-step explanation:HOPE IT HELPSS!!!

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4 years ago
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What do you do when your mom is crying? probably not the best place to ask but im grounded so i cant ask on any other platform l
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Answer:

Ask her why she is crying. If she explains why, listen and comfort her. If she says to "go away" or "i don't want to talk about it," give her space and come back later. She needs to let it out, so have patience :)

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Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
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Answer:

its B

Step-by-step explanation:

pls do not listen to the other person

you have to add the tax so multiplying the two together instead of just adding them would get the same number

(also x+0.05x is literally 1.05x anyway)

hope this helps <3

3 0
3 years ago
Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, use the drop dow
HACTEHA [7]

Answer:

C(n)=14n+2.50

Step-by-step explanation:

Let

n -----> number of tickets

C ----> represent the cost of buy n tickets online

we have the ordered pairs

(1,16.50) and (2,30.50)

<em>Find out the slope of the linear equation</em>

The formula to calculate the slope between two points is equal to

m=\frac{C2-C1}{n2-n1}

substitute the values

m=\frac{30.50-16.50}{2-1}

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<em>Find the equation of the line in slope intercept form</em>

C=m(n)+b

we have

m=14

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substitute

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1b=2.50

substitute

C(n)=14n+2.50

The domain of the function is all positive integers (whole numbers) including zero

{0,1,2,3,4,...}

5 0
3 years ago
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