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Verdich [7]
3 years ago
11

Pentagon G was dilated from the origin by a scale factor of one half to create Pentagon G′. Which statement explains why the pen

tagons are similar?
Mathematics
1 answer:
Sergio [31]3 years ago
8 0

Answer:

the answer is Dilations preserve betweenness of points; therefore, the corresponding sides of pentagons G and G′ are proportional.

Step-by-step explanation:

i took the test and got it right

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Esther's company has been contracted to lay carpet in a room at a new observatory. The floor plan for the room is in the shape o
timofeeve [1]

Answer:

  • 3960 ft²

Step-by-step explanation:

The pentagon has been split into 5 congruent triangles.

<u>Each triangle has area of:</u>

  • 1/2*48*\sqrt{40.8^2 - (48/2)^2} = 24*\sqrt{1088.64} = 24*33 = 792 ft²

<u>The area of the room is:</u>

  • 792*5 = 3960 ft²

5 0
2 years ago
What is the next term of the geometric sequence?
Makovka662 [10]

Answer:

16

Step-by-step explanation:

In a geometric sequence you are just multiplying basically. To go from 36 to 24, you multiply by 2/3, and the same will be with the next term. When you multiply 24 by 2/3 you get 16.

6 0
2 years ago
Solve the system using substitution.<br> 2x = 5y + 14<br> x = 5y
andrew-mc [135]

Answer:

<h2>y = 2.8</h2><h2>x = 14</h2>

Step-by-step explanation:

To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.

10y = 5y + 14

First, we need to get all the variables on one side of the equation, so we subtract 5y.

5y = 14

Divide by 5

y = 14/5 or 2 4/5 or 2.8

Now for the x part.

2x = x + 14

Subtract 1x

x = 14

Now we check our answer.

2(14) = 5(2.8) + 14

28 = 14 + 14

28 = 28

Because 28 equals 28, our solutions are correct.

7 0
3 years ago
What is the answer to the solution 2x-y=5<br><br> A) 2,-1<br> B) 3,-1<br> C) 1,2<br> D) 7
lapo4ka [179]
I believe it's a , not sure though
6 0
3 years ago
Read 2 more answers
Consider the probability that at least 93 out of 154 CDs will not be defective. Assume the probability that a given CD will not
Yuki888 [10]

Answer:

0.5962

Step-by-step explanation:

Given that :

p = 61% = 0.61

q = 1 - p = 1 - 0.61 = 0.39

n = 154 ; x = 93

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x>=93) = p(x=93)+p(x=94)+...+p(x=n)

P(x>= 93) = 0.59619

P(x>= 93) = 0.5962

7 0
2 years ago
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