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4 years ago

Based only on the given information, it is guaranteed that AD = CD.

Mathematics

1 answer:

pickupchik [31]4 years ago

5 0

Answer:

Not really, actually it depends on the shape given whether it's a rectangle, a square etc. Because you can't conclude that the shape of a rectangle with such dimensions could be guaranteed.

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What is the measure of angle B?

Talja [164]

Answer:

61.8°

Step-by-step explanation:

102.8°+15.4°+B =180°

118.2°+B =180°

B=180°-118.2°

B = 61.8°

8 0

3 years ago

Are (99 – 11 + 10g) - (12 - 119 + 13) and -3(-10g + 12) equivalent expressions? Explain.

Crank

Answer:

)99-11+10g -12+119 -13= 182+10g

)30g-36

Step-by-step explanation:

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3 years ago

What is the length of a diagonal cube with a side length of 10cm?

Blizzard [7]

Answer:

Step-by-step explanation:

diagonal= $\sqrt{10^2+10^2}$

diagonal= $\sqrt{200}$

diagonal=14.1421356

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3 years ago

In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD

dmitriy555 [2]

Answer:

The area of parallelogram ABCD is $78.42 \mathrm{in}^{2}$

Explanation:

Given:

AD = 12 in

$m \angle C=46^{\circ}$

$m \angle D B A=72^{\circ}$

To Find:

The area of parallelogram ABCD=?

Solution:

When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.

The area of the parallelogram can be calculated by $a b * \sin (a n g l e)$

Substituting the value of a=12 we have

$\text { Area of parallelogram }=12 * \text { bsin } 46$

<u>To find the value of b, </u>

We know that area of a triangle can be expressed as,

$\text { Area of triangle }=(A b / 2) \sin (\text {angle})$

So,

$(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72$

Cancelling BD and 2 on both sides we get,

$12 * \sin 46=A B * \sin 72$

$A B=12 * \frac{\sin 46}{\sin 72}$

Therefore,

$b=\frac{12 \sin 46}{\sin 72}$

Substituting the value of b,

$=12 *\left(\frac{12 \sin 46}{\sin 72}\right) * \sin 46$

=78.42

So the area of the parallelogram is $78.42 \mathrm{in}^{2}$

6 0

4 years ago

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What is the measure of the missing angle?

defon

It is 86 degrees. :)

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4 years ago

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