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1 year ago

Find the value of x that makes ABCD a parallelogram.

Mathematics

1 answer:

olganol [36]1 year ago

4 0

The angle 5x will be 50⁰. Then the correct option is D.

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

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

The diagram is given below.

We know the sum of internal angles is 360 degrees.

Then we have

5x + 130 + 5x + 130 = 360

10x = 100

x = 10

Then the angle 5x will be

5x = 5(10)

5x = 50⁰

Then the correct option is D.

More about the parallelogram link is given below.

brainly.com/question/1563728

#SPJ1

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2 years ago

In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.

Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

$\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}$

where c is the proportionality constant

$\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}$

Hence, x value is 12 when y value is 9

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3 years ago