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3 years ago

10

X/9 = 5/16 please show calculations!

2 answers:

lesya [120]3 years ago

7 0

Well, you just have to use proportions! :-) They're SUPER easy to use, and SUPER fun! :-) Proportions is when you multiply the first fractions' denominator times the second fraction's numerator. In this case, it's 9 times 5. 9 times 5 = 45, and in order for it to be proportional, we must multiply the DENOMINATOR of the SECOND fraction TIMES the NUMERATOR of the FIRST fraction. Now, the term, "proportional", means that BOTH products should equal the SAME THING. So, that means if we got 45 as our FIRST answer, our SECOND answer MUST BE 45 to be the same and proportional. Now, how do we multiply 16 times X? Just divide 45 divided by 16, because the quotient will equal X. 45 divided by 16 = 2.8125. When we have a decimal like THIS, we just round it to the whole number and until the hundredths, (keep in note that that is how you MUST round in any decimal answer you have). So X = 2.81
Final Answer: X = 2.81 :-)

yaroslaw [1]3 years ago

4 0

The picture above is the correct answer. Just find 45 divided by 16 for the decimal value.

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Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.

topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

$\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)$

$\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)$

On comparing both sides, we get

$\dfrac{4+a}{2}=\dfrac{-1}{2}$

$4+a=-1$

$a=-1-4$

$a=-5$

And,

$\dfrac{5+b}{2}=\dfrac{3}{2}$

$5+b=3$

$b=3-5$

$b=-2$

Therefore, the coordinates of fourth vertex are (-5,-2).

3 0

3 years ago

Please answer correctly!! You will be reported if you don't!!

serious [3.7K]

Answer:

QUESTION?

Step-by-step explanation:

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Anna71 [15]

Answer:

quadrant 3

Step-by-step explanation:

you go to the left 1/2 and down 1.8, putting you in quadrant 3

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kumpel [21]

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MrMuchimi

The answer is A. i hope this helps!

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