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Ulleksa [173]
3 years ago
13

Solve for x. Pls explain your answer.

Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer: x = 8

Step-by-step explanation: The question shows two separate trapeziums DEFG and QRSP. In figure DEFG two sides and three angles are given. However, if we turn figure QRSP upside down, we can see that what we have is two similar trapeziums, DEFG and SPQR. Upon closer examination, we would see that line DE = line SP

Similarly line GF = line RQ

Also angle F = angle Q.

Having take note of these similarities, we can now express them as follows;

2x - 4 = 12 {i.e RQ = GF}

6y + x = 68 {i.e Q = F}

What we now have is a pair of simultaneous equations

2x - 4 = 12 ————(1)

6y + x =68 ————(2)

From equation (2)

x = 68 - 6y (by rearranging and making x the subject of the formula)

We can now substitute for the value of x into equation (1)

2x - 4 = 12

2(68 - 6y) - 4 = 12

By expanding the bracket, we now have

136 - 12y - 4 = 12

By regrouping and collecting like terms,

136 - 4 - 12 = 12y

Remember that if a negative number crosses to the other side of the equality sign, it becomes positive, and vice versa. Hence, negative 12y crosses to the right hand side of the equation and becomes positive 12y.

136 - 4 - 12 = 12y

120 = 12y

Divide both sides of the equation by 12

10 = y

Now we can substitute for the value of y = 10 into equation (2)

6y + x = 68

6(10) + x = 68

60 + x =68

Subtract 60 from both sides of the equation

x = 8.

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The frequency of D3 is 146.83 Hz. What is the frequency of D5, which is two octaves above D3?
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Step-by-step explanation:

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3 years ago
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With regard to mathematics, what is in excepted statement of fact that is used to prove other statements
ehidna [41]

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Axiom

Step-by-step explanation:

This is called a axiom. Not too sure if you mean the the definition but this is the definition.  Hope this helped c:

5 0
2 years ago
I need help solving this
Stolb23 [73]

Step-by-step explanation:

So in the equation given, y = 2x - 3

you substitute x for whats given in the table in the x column.

Example

In the graph the first number under the x colum is -1.

y = 2x - 3 in the equation you take out x and put -1.

So now the equation becomes y = 2 × -1 - 3.

Using bedmas to solve the question you should get -5

Which now means y = -5

To plot the point now x would be -1 and y would be -5 (-1, -5)

Same thing for the second number in the x Column.

y = 2 × 1 - 3 which equals -1

To plot it

x = 1 y = -1. (1, -1)

And for the last number 3.

Agai. You substitute x for 3 which makes the equation y = 2 × 3 - 3

this gives you 3 and to plot it

x would be 3 and y would be 3

4 0
2 years ago
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