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GREYUIT [131]
3 years ago
9

Vanessa draws one side of equilateral ΔABC on the coordinate plane at points A(–2, 1) and B(4,1). What are the possible coordina

tes of vertex C? Select all that apply.
A. (–4.2, 6.2)
B. (1, –4.2)
C. (6.2, 4.2)
D. (1, 4.2)
E. (1, 6.2)
Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

the answers would be B and D

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At a party, everyone shook hands with everybody else. There were 66 handshakes in total. How many people were at the party?
Zanzabum
12 people were at the party.

You can choose 12 people to be one person, and 11 to be a person they are shaking hands with.  However, this allows us to choose person A, then person B, or Person B, then Person A.  We don't want to double-count this case, so we divide by 2.  12*11/2=66, so 12 works.
4 0
3 years ago
Read 2 more answers
Tina's age is 4 years less than 3 times her niece's age. If her niece's age is x years, which of the following expressions best
Arada [10]

Answer:

<em>3x</em> - 4

Step-by-step explanation:

As Tina's age is 3 into <em>x</em> ( 3 x <em>x</em><em>=</em> 3x)but 4years less (-4)

Therefore Tina's age is 3x - 4

8 0
4 years ago
Read 2 more answers
two dice are rolled until a sum of either 5 or 7 occurs. estimate the probability that a 5 occurs first g
Ierofanga [76]

Answer:

The correct answer is "\frac{2}{5}". A further solution is provided below.

Step-by-step explanation:

According to the question,

The probability of getting a 5 will be:

= \frac{4}{36}

= \frac{1}{9}

The probability of getting a 7 will be:

= \frac{6}{36}

= \frac{1}{6}

The probability of not a 5 nor a 7 will be:

= 1-[\frac{4}{36} +\frac{4}{36} ]

= \frac{26}{36}

= \frac{13}{18}

Now,

For roll of 2 dice,

⇒ P=\frac{1}{9} +{\frac{1}{9}\times (\frac{13}{18} ) }+{(\frac{1}{9} )\times (\frac{13}{18} )^2}+{\frac{1}{9}\times (\frac{13}{18} )^3 }+...

        =\frac{1}{9} [1+\frac{13}{18} +\frac{13^2}{18^2} +\frac{13^3}{18^3} +...]

        =\frac{1}{9} [\frac{1}{1-\frac{13}{18} } ]

        =\frac{1}{9} [{\frac{1}{\frac{5}{8} } ]

        =\frac{2}{5}

6 0
3 years ago
Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral a b c d the coordinates of a r the reflected q
Zina [86]

Solution :

From the figure,

The coordinates of --

A = (-5,-3)

B = (-6,-1)

C = (-3,-1)  

D = (-2,-3)

When it undergoes reflection about x-axis, we have the coordinates of the quadrilateral as

A' = (-5,+3)

B' = (-6,+1)

C' = (-3,+1)

D' = (-2,+3)

Now A'B'C'D' is translated 3 units to right, so the coordinates will be --

A" = (-2,3)

B" = (-3,1)

C" = (0,1)

D" = (1,3)

When the quadrilateral moves third and two units up, we get

A"' = (3,3)

B"' = (2,1)

C"' = (5,1)

D"' = (6,3)

3 0
3 years ago
A 16oz box of crackers costs $3.99 and a 38oz box of crackers costs $6.99. Which box is better?
bagirrra123 [75]
The 38 oz box
divide the price by the oz
6 0
3 years ago
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