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Mars2501 [29]
3 years ago
6

Which represents the solution set of 5(x+5) <85?

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
8 0

Answer:

X<12 first choice.

Step-by-step explanation:

5(x+5) <85

5x +25 < 85

5x <60

X<12

Hope this helps..

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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  is78.42 \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 is78.42 \mathrm{in}^{2}

6 0
3 years ago
Read 2 more answers
What is the length of the diagonal of a rectangle whose width is 100 centimeters and whose length is 180 centimeters. ( round th
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3 years ago
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Can someone help me please !???
AfilCa [17]

Answer:

3 (x-12) (x+2)

Step-by-step explanation:

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3 (x-12) (x+2)

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

8 0
3 years ago
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