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kicyunya [14]
3 years ago
6

WHAT IS THE VALUE IF X???‼️‼️ HELP ASAP

Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0

The value of x is 40.

Solution:

Given ΔVDG and ΔVNG are similar triangles.

DG = 207, NQ = 138, GQ = 60, QV = x

To find the value of x.

In two triangles are similar, then the measures of the corresponding sides are in proportional to each other.

$\Rightarrow\frac{DG}{NQ}=\frac{GQ}{QV}

Substitute the given values.

$ \Rightarrow\frac{207}{138}=\frac{60}{x}

Do cross multiplication, we get

$ \Rightarrow{207\times x}=138\times60

$ \Rightarrow{207\times x}=8280

Divide by 207 on both sides of the equation, we get

$ \Rightarrow x=\frac{8280}{207}

$ \Rightarrow x=40

Hence the value of x is 40.

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zaharov [31]

Using proportions, Nelly's total pay for last week was of £220.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

From Monday to Friday, she worked 17 hours, hence:

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On Saturday, she worked 5 hours, and was paid £16 per hour.

Hence her total payment is found as follows:

15 x 8 + 2 x 10 + 5 x 16 = £220.

More can be learned about proportions at brainly.com/question/24372153

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2 years ago
5. Which of the following shows the equation after the variables have been collected on the left
Anestetic [448]
The answer is B 5x=15
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3 years ago
Plzz help this is due today
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7 0
3 years ago
David has 36 apple and pear trees in his gardens. If he plant 4 more apple trees, he will have the same amount of apple and pear
amm1812

Answer:

16 apples, 20 pears

Step-by-step explanation:

36+4=40

So 40/2= 20 or an even amount of both apples and pears

20-4= 16 ~Original amount of apples

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6 0
3 years ago
In the image below, ABC ~ DEF What is the length of EF and the measure of D
Gwar [14]
If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC

-------------------------------------------------------------------------------------------------------------

Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees

The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC

CPCTC = Corresponding Parts of Congruent Triangles are Congruent

-------------------------------------------------------------------------------------------------------------

So in short, the answer is choice B) 27; 49

7 0
3 years ago
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