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GuDViN [60]
3 years ago
11

Write the number 3.7 as a mixed number let x

Mathematics
1 answer:
puteri [66]3 years ago
4 0
3.7/1 = 3.7

multiply it through to make it a whole number.
x 10

37
_
10

then see how mant times 10 goes into it.
3 times. so 3 is your whole number. 7/10 remains.
that is your fraction.

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Divide $200 in the ratio 3:2
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Answer:

120:80 I think this is the answer

Step-by-step explanation:

200 \div 5 = 40

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3 \times 40 = 120

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How many solutions will the following system of linear equations have? –2x + 4y = –7 y= -1/2x + 5 A. 0 B. 1 C. 2 D. infinite
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A parallelogram has sides of 18 and 26 ft, and an angle of 39° . Find the shorter diagonal
Fed [463]

Answer:

16.51

Step-by-step explanation:

In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.

The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:

39 + 39 + x + x = 360

78 + 2x = 360

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x = 141

This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.

Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

c^{2} = a^{2}+ b^{2} -2ab cos(\gamma)\\\\c^{2}=18^{2}+26^{2}-2(18)(26)cos(39)\\\\ c^{2}=272.59\\\\ c=16.51

Thus the shorter diagonal will be 16.51 feet in measure.

3 0
3 years ago
Help me please thank you
mars1129 [50]

Answer:

x = 7

Step-by-step explanation:

The angles are alternate interior angles, so for the lines to be parallel, the angle measures must be equal.

7x - 7 = 4x + 14

3x = 21

x = 7

3 0
3 years ago
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