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Ket [755]
2 years ago
8

Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans

wer a list of questions. Part A: For what one value of x are the perimeters of the quadrilaterals the same? (Hint: The perimeter of a quadrilateral is the sum of its sides.) Part B: For what one value of x are the areas of the quadrilaterals the same? (Hint: The area of a quadrilateral is the product of its base and height.)

Mathematics
1 answer:
IRINA_888 [86]2 years ago
3 0

A) 6+x+4 = 2+3x+4

10+x = 3x+6

10 = 2x+6

4 = 2x

x = 4/2

x = 2


B)

6 * (x+4) = 2 *(3x+4) =

6x+24 = 6x+8

 there is no solution for part B


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Tim Has M Dollars. Rebecca has $6 less than 1/10 Times The Number Of Dollars That Tim Has. Which Expression represents the total
Mrac [35]
M = Tim's dollar amount
R = Rebecca's dollar amount
MR = Tim and Rebecca's dollars together

R = (M x 1/10) - 6

MR = M + ((M x 1/10) - 6)

MR = 70 + ((70 x 1/10) - 6)

MR = 70 + (7 - 6)

MR = 70 + 1

MR = 71




8 0
2 years ago
Read 2 more answers
An ant begins at the top of the pictured octahedron. If the ant takes two "steps", what is the probability it ends up at the bot
Aleksandr-060686 [28]

Answer:

P_{bottom}=\frac{1}{4}=0.25

Step-by-step explanation:

Starting from the top, the ant can only take four different directions, all of them going down, every direction has a probability of 1/4. For the second step, regardless of what direction the ant walked, it has 4 directions: going back (or up), to the sides (left or right) and down. If the probability of the first step is 1/4 for each direction and once the ant has moved one step, there are 4 directions with the same probability (1/4  again), the probability of taking a specific path is the multiplication of the probability of these two steps:

P_{2steps}=\frac{1}{4}*\frac{1}{4}=\frac{1}{16}

There are only 4 roads that can take the ant to the bottom in 2 steps, each road with a probability of 1/16, adding the probability of these 4 roads:

P_{bottom}=\frac{1}{16}+\frac{1}{16}+\frac{1}{16}+\frac{1}{16}=\frac{4}{16}=\frac{1}{4}

The probability of the ant ending up at the bottom is \frac{1}{4} or 0.25.

6 0
2 years ago
Divide 6K2 - 15k-5 by 3k​
icang [17]

Answer:

Step-by-step explanation:

6k^2

------- = 2k; and:

 3k

-15k

------- = -5

 3k

-5 cannot be evenly divided by 3k, so there's a remainder instead.

6k^2 - 15k - 5

-------------------- = 2k -5 with remainder -5.

         3k

4 0
2 years ago
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What is the volume of a 90' x 20' x 12' house?
mafiozo [28]
21,600 v^3 been a while so not sure wether you need the sq symbol afterword let me know
5 0
2 years ago
Read 2 more answers
Someone please help me in this question it is kind of confusing it is a question under pre calculus in first year calculus i wil
masya89 [10]
Neither P, nor A are on the sketch 
I guess P is the upper right corner of the rectangle 
and A=(0,1) 

P belongs to the line going through (1,0) and B(0,y) 
<span>but we don't know the y-coordinate of B </span>

<span>the triangle is right and isosceles, so pythagoras a²+a²=2² ... 2a²=4 ... a²=2 ... a=sqrt2 </span>
now look at the right triangle BOA 
<span>his hypotenuse is AB=sqrt2 and the <span>the kathete</span> OA is 1 </span>
so y²+1²=(sqrt2)² ... y²+1=2 ... y²=1.. y=1 
so the coordinates of B are (0,1) 

the line going through (1,0) and (0,1) is L(x)=-x+1 

P belongs to this line, so the coordinates of P are P(x,-x+1) (0<x<1) 

b) so if that's P, the height of the rectangle is -x+1 and the width=2x 
<span>so its area A(x)=2x*(-x+1)= -2x²+2x 

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

</span>
5 0
2 years ago
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