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kodGreya [7K]
3 years ago
15

Use the given information and the figure to answer the question.

Mathematics
1 answer:
morpeh [17]3 years ago
5 0

Answer:

Yes, Triangles ABE and CDB are similar by AA Similarity Postulate

Step-by-step explanation:

we know that

If two triangles are similar, then its corresponding angles are congruent

In this problem

Triangles ABE and CDB are similar by AA Similarity Postulate (the three interior angles are congruent)

Because

If BE is perpendicular to AD

then

BE is parallel to DC

therefore

m<EBA=m<DCB -----> by corresponding angles

m<AEB=m<DBC=90 ----> right angles

m<EAB=m<BCD -----> the sum of the interior angles of a triangle must be equal to 180 degrees

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Consider the following game. There is a bottle with 20 colored chips inside. There are 2 blue chips, 4 purple chips, 7 green chi
vekshin1

Answer: Expected value of playing the game is $0.

Step-by-step explanation:

Since we have given that

Total number of colored chips = 20

Number of blue chips = 2

Number of purple chips = 4

Number of green chips = 7

Number of red chips = 7

Amount of prize he gets for blue chip = $10

Amount of prize he gets for a purple chip = $5

No amount is given for red or green

Amount he had to pay = $2

So, Expected value of playing the game is given by

\frac{2}{20}\times 10+\frac{4}{20}\times 5+7\times 0+7\times 0-2\\\\=1+1-2\\\\=2-2\\\\=\$0

Hence, Expected value of playing the game is $0.

6 0
3 years ago
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Graph these equations: y=x+5 y=x–3 Click to select points on the graph.
yaroslaw [1]

Answer:

y=x+5 graph points: (0,5), (-5,0)

y=x-3 graph points: (0,-3), (3,0)

Step-by-step explanation:

These equations are in slope-intercept form.

y=mx+b

m=slope

y= y-intercept

I graphed the lines based on the equations and gave the two points of each equation where the line intersected the x and y axis.

<em>Hope this helped! Brainliest would be great :)</em>

6 0
3 years ago
Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and knitting needles was $69. Tamara wri
Sidana [21]

Answer:

im taking it on edgenunity

Step-by-step explanation:

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Enter the explicit rule for the geometric sequence.<br><br> 9,6,4,83,…
soldier1979 [14.2K]

Answer:

a_n = 2^(n - 1) 3^(3 - n)


Step-by-step explanation:

9,6,4,8/3,…

a1 = 3^2

a2 = 3 * 2

a3 = 2^2

As we can see, the 3 ^x is decreasing and the 2^ y is increasing

We need to play with the exponent in terms of n

Lets look at the exponent for the base of 2

a1 = 3^2  2^0

a2 = 3^1   2^1

a3 =    3^ 0 2^2

an =   3^      2^(n-1)

I picked n-1  because that is where it starts  0

 n = 1   (1-1) =0

  n=2   (2-1) =1

  n=3  (3-1) =2

Now we need to figure out the exponent for the 3 base

I will pick (3-n)

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8 0
4 years ago
5y + 2 + 6 + 2y 5y + 2(y + 3) + 2 combining like terms 6y − y + 2y + 10 − 4 + 2 Commutative Property Distributive Property arrow
Paraphin [41]

Answer:

Distributive Property

Step-by-step explanation:

5y + 2 + 6 + 2y

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The distributive property of multiplication with respect to addition  is the one  which separates each term by using multiplication and then addition.

So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.

4 0
3 years ago
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