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3 years ago

In order for the parallelogram to be a rhombus, x=?

Mathematics

1 answer:

Cloud [144]3 years ago

5 0

Answer:

Step-by-step explanation:

The diagonal must be an angle bisector for a rhombus.

That means that both bisected angles are equal.

2x + 16 = 5x - 8 Add 8 to both sides

2x + 16 + 8 = 5x

2x + 24 = 5x Subtract 2x from both sides

24 = 5x - 2x

24 = 3x Divide by 3

24/3 = x

x = 8

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If y varies jointly as x and x = 33 when y = 22, find x when y = 32

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Answer:

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Step-by-step explanation:

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3 years ago

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4 years ago

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If the following rectangular prism's width is doubled, what will happen to the volume?

ArbitrLikvidat [17]

Answer:

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Step-by-step explanation:

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3 years ago

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The pie chart shows information about voters in a election.2800 more women vote than men.

Lyrx [107]

ANSWER

The total number of voters is
$10080$

EXPLANATION

Let the
$x$
be the number of voters that are men.

Then the women will be
$x + 2800$

The total voters will be
$x + (x + 2800)$

$2x + 2800$

We now use ratio.

We can see from the diagram that,
$130 \degree$
corresponds to men.

We can write the ratio

$x:130 \degree$

Also the total number of voters corresponds to the angle in a complete circle. This will also give us the ratio,

$(2x + 2800):360 \degree$

We can therefore write the equation,

$\frac{2x + 2800}{x} = \frac{360 \degree}{130 \degree}$

$\frac{2x + 2800}{x} = \frac{36 }{13}$

We cross multiply to get,

$13(2x + 2800) = 36x$

This implies that,

$26x + 36400 = 36x$

We group like terms to obtain,

$26x - 36x = - 36400$

This implies that,

$- 10x = - 36400$

$x = 3640$

The total number of voters
$= 2(3640) + 2800$
$= 10080$

The total number of voters is
$10080$

8 0

3 years ago