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3 years ago

What is the value of x

Mathematics

1 answer:

Gemiola [76]3 years ago

4 0

For this case, we observe that the triangles are similar.
We observe that the triagnules have three equal angles.
Therefore, to find the value of x we can use the following relationship:
$x / 15 = 5/12
$
Clearing x we have:
$x = (5/12) * (15)

x = 6.25$
Answer:
The value of x is given by:
x = 6.25

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Use the properties of operations to determine if each pair of expressions is equivalent

SIZIF [17.4K]

Using the properties of operations the given pair of expressions are not equivalent

Solution:

Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent

And the two expressions are:

$\frac{1}{2}(4-2 x) \text { and } 2-2 x$

Now, we know that, there are four (4) basic properties of operations:

Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.

So, if we observe we can apply distributive property on 1st expression

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

$\begin{array}{l}{\frac{1}{2}(4-2 x) \rightarrow \frac{1}{2}(4)-\frac{1}{2}(2 x)} \\\\ {\rightarrow 2-x}\end{array}$

Here the resulting expression is 2 – x and it is not equivalent to 2 – 2x

Hence, the given two expressions are not equal.

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3 years ago

2. a) How many milliseconds (ms) are in 1 second? 1. b) How many microseconds (μs) are in 1 second? 2. c) How many nanoseconds (

olchik [2.2K]

Answer and explanation:

a) How many milliseconds (ms) are in 1 second?

1 second = 1000 milliseconds

1 second = $10^3$ milliseconds

b) How many microseconds (μs) are in 1 second?

1 second = 1000000 microseconds

1 second = $10^6$ microseconds

c) How many nanoseconds (ns) are in 1 millisecond?

1 millisecond = 1000000 nanoseconds

1 millisecond = $10^6$ nanoseconds

d) How many microseconds are in 1 millisecond?

1 millisecond = 1000 microseconds

1 millisecond = $10^3$ microseconds

e) How many nanoseconds are in 1 microsecond?

1 microsecond = 1000 nanoseconds

1 microsecond = $10^3$ nanoseconds

f) How many kilobytes (KB) are in 1 gigabyte (GB)?

1 gigabyte = 1000000 kilobytes

1 gigabyte = $10^6$ kilobytes

g) How many kilobytes are in 1 megabyte (MB)?

1 megabyte = 1000 kilobytes

1 megabyte = $10^3$ kilobytes

h) How many megabytes are in 1 gigabyte?

1 gigabyte = 1000 megabytes

1 gigabyte = $10^3$ megabytes

i) How many bytes are in 20 megabytes?

1 megabytes = 1000000 bytes

20 megabytes = 20000000 bytes

20 megabytes = $2\times 10^7$ bytes

j) How many kilobytes are in 2 gigabytes?

1 megabyte = 1000 kilobytes

2 megabyte = 2000 kilobytes

2 megabyte = $2\times 10^3$ kilobytes

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4 years ago

A jacket at Academy is $60. You have a coupon for 20% off. What is the new price?

svetlana [45]

Answer:

$48

Step-by-step explanation:

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3 years ago

4/5 of a number is 32 Find the number.

nalin [4]

Answer: The number is 40

Step-by-step explanation:

We will set up an equation where 4/5 is being multiply by the number to get 32. we will represent that number by x

4/5 * x = 32 solve for x

4/5x = 32

0.8x = 32

x = 40

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4 years ago

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maria [59]

Answer:

We'd need more information like the relationship between those equations.

Step-by-step explanation:

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3 years ago