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timama [110]
3 years ago
6

The ABC Toy Company is creating two similar pieces for a board game, as shown below. Find the value of y that makes the two piec

es similar. Triangle GHI is shown with sides GH marked as 4, GI marked as 6, and HI marked as x. Triangle JKL is shown with sides JK marked as 8, JL marked as y, and KL marked as z. Numerical Answers Expected! Answer for Blank 1:
Mathematics
2 answers:
Kisachek [45]3 years ago
6 0

Answer:

y = 12

Step-by-step explanation:

Given

Triangles GHI and JKL

<em>See attachment for illustration</em>

Required

Find the value of y

We have:

GH = 4

GI = 6

JK = 8

JL = y

Sides GH and JK are similar

Sides GI and KL are also similar

Since both triangles are similar, then the ratio of similar sides must be equal.

Ratio = GH : JK

Ratio = GI : JL

Equate both ratios

GH:JK = GI:JL

Substitute values for GH, GI, JK and JL

4 : 8 = 6 : y

Convert to fractions

\frac{4}{8} = \frac{6}{y}

\frac{1}{2} = \frac{6}{y}

Cross Multiply

1 * y = 6 * 2

y = 12

Verizon [17]3 years ago
4 0

Answer:

y = 12.

Step-by-step explanation:

I just took the test and got it right. This is because 8 is twice the size as 4, so it can be determined that all you need to do is multiply 6 by 2. I hope this helps!

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14 is the GCF of anumber M and 210. What are possible values of M?
Cloud [144]
<span>14 = GCF of M and 210
M = possible values

GCF = Greatest common denominator
Now, let’s start decomposing
=> 210 | 2
=> 105 | 2
=>  35 | 5
=> 7 | 7
=> 1

Thus, 2 x 3 x 5 x 7 = 210

Now let’s find the factors of 14
=> 14 | 2
=> 7 | 7
=> 1

Thus, 2 x 7 = 14

Notice that’s there’s no 14 in 210 shown factors, but the only GCF found is 7.
Thus, the value of M that we’re looking for is infinite. All numbers that has the GCF of 7 are applicable.</span>



6 0
3 years ago
The number of guests per month at a large resort is given in the table below, where f(x) is the number of guests, in hundreds, x
Solnce55 [7]
X = 0 ; y = 10 ; 10 = a(0) + b(0) + c
c = 10

x=2 ; y = 15 ; 15 = a(4) + b(2) + 10 ; 5 = 4a+2b
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2(5) = (4a+2b)2
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 <u>   8 = 16a + 4b
</u>    2 = -8a

a = -0.25

b = 2

y = (1/4)x^2 + 2x + 10 ; 4y = x^2 + 8x + 40
8 0
3 years ago
Read 2 more answers
Hi need help on a test for math
enyata [817]

Answer:

i rlly dont want to make you wrong cause i feel lik im wrong but i got all of them as cant be sides of triangles

Step-by-step explanation:

i did use a calculator tho

5 0
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Which expression is equivalent 121x^2-64y^2 ?
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Would this be the correct answer? If not, can you further explain the question?(11x+8y)(11x-8y) 
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The events are independent. By definition, it means that knowledge about one event does not help you predict the second, and this is the case: even if you knew that you rolled an even number on the first cube, would you be more or less confident about rolling a six on the second? No.

An example in which two events about rolling cubes are dependent could be something like:

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Event B: The second cube returns a higher number than the first one.

In this case, knowledge on event A does change you view on event B (and vice versa): if you know that you rolled a 6 on the first cube you don't want to bet on event B, while if you know that you rolled a 1 on the first cube, you're certain that event B will happen.

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8 0
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