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3 years ago

Using the following diagram, solve for x.

Mathematics

2 answers:

yuradex [85]3 years ago

6 0

The answer to this equation is x=63

storchak [24]3 years ago

4 0

Answer:

$x=10.5$

Step-by-step explanation:

Use Thales' Theorem which says: If two lines, not necessarily parallel, are cut by a system of parallel lines, then the segments that result on one of the two lines are proportional to the corresponding segments obtained on the other.

Take a look at the picture I attached you, from it, It is true that:

$\frac{AB}{A'B'} =\frac{BC}{B'C'}$

Hence:

$\frac{12}{6} =\frac{21}{x}$

Solving for x:

$x=\frac{21}{2} =10.5$

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Find the values of x and y.

Elis [28]

Answer:

Option A

x=6 , y=9

Step-by-step explanation:

As we can see in the figure that point T is the mid point of rectangle and there are two diagonals QS and PR

So in basic geometry we know that the length of the diagonal from the mid point i.e. Taking the diagonal QS the length of QT and TS would be equal because they are same diagonal which is cut into two parts by point T

Similarly the Length of RT and the length of TP would be same

From all this we deduct that

3x = 2y ..................(i)

and

y + 3 = 2x ................(ii)

From equation (i)

3x = 2y

Dividing both sides by 3 the equation becomes

x= $\frac{2y}{3}$ ....................(iii)

Putting this value in equation (ii)

y + 3 = 2( $\frac{2y}{3}$ )

y+3 = $\frac{4y}{3}$

multiplying both sides by 3

3(y+3)= $\frac{4y*3}{3}$

the equation becomes

3y+9=4y

subtracting 3y from both sides

3y-3y+9=4y-3y

y=9

Putting the value of y in equation (iii)

x= $\frac{2*9}{3}$

solving it

x= $\frac{18}{3}$

x=6

so x=6 and y=9 is answer which is option A

5 0

3 years ago

How can a decimal be converted to a percentage?

Alexxandr [17]

B, because percent means per 100.

3 0

3 years ago

Bring the fraction a/a−4 to a denominator of 16−a^2<br><br> really do appreciate this thx

RSB [31]

Answer:

-a(a+4)/(16 - a²)

Step-by-step explanation:

a/(a - 4) Multiply by (a + 4)/(a + 4)

= a(a + 4)/[(a – 4)(a + 4)] Multiply the denominatorator terms

= a(a + 4)/(a² - 16) Multiply by -1/(-1)

= -a(a+4)/(-a² + 16) Reorder terms in denominator

= -a(a+4)/(16 - a²)

5 0

3 years ago

Can someone help please?<br><br> Thank you.

makkiz [27]

Answer:

B and C are the answers.

Step-by-step explanation:

3b+b = 4b because the value of B or any variable is 1 so 3 +1 is four and 4b is our answer.

2(2b) the brackets tell the number before brackets should be multiplied and 2 × 2 is 4 so the answer is 4b

4 0

2 years ago

How can you use scientific notation to compare the mass of an electron to the mass of a proton

Advocard [28]

Answer:

explained below

Step-by-step explanation:

Because the electro has a smaller mass than the mass of the proton, scientific notation is usually used so that the numbers are on the same "scale" but if we see the scientific notation we may be able to identify which is greater and which is less, due to that the exponent is less the number is smaller and on the contrary if the number is greater, it is a larger number.

In the image I leave an example of the use of scientific notation in this area

5 0

3 years ago