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Soloha48 [4]
3 years ago
13

How do I show my work for -3(5-2x)-3x=3

Mathematics
1 answer:
devlian [24]3 years ago
5 0

Answer: x=6

Step-by-step explanation:

3(5-2x)-3x=3

-15+6x-3x=3

-15+3x=3

3x=3+15

3x= 18

x=6

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Simplify the expression 8+4a+6.2-9a
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12.2+(-5a)

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8+4a+6.2-9a

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20 POINTS! Please help, best answer will recessive brainliest answer points as well as 5 stars and a thank you. :)
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<h3>Question: </h3><h3>In the diagram below of Δ ABC, side BC is extended to point D, m∠A = x , m∠B = 2x+15, and m∠ACD = 5x+5 , what is m∠B ?</h3>

Answer: 3) m∠B = 25º

Step-by-step explanation:

Since m∠C is supplementary to m∠ACD

m∠C = 180º - m∠ACD

m∠C = 180º -(5·x + 5)

m∠C = 180º -5 -5·x

m∠C = 175º - 5·x

The sum of the angles of a triangle = 180º

m∠A + m∠B + m∠C = 180º

x + 2·x + 15º + 175º - 5·x = 180º

3·x - 5·x +190º = 180º

-2·x = 180º - 190º

-2·x = -10º

x = -10º/-2 = 5º

Now we can substitute this value of x in m∠B

m∠B = 2x+15

m∠B = 2·x + 15º = 2·5º + 15º = 10º + 15º = 25º

Answer: 3) m∠B = 25º

<h2><em>Spymore</em></h2>
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Find the ratio of the volume of the triangular prism
Aleksandr-060686 [28]

Answer:

Ratio of the volume of the triangular prism and the volume of cuboid = 3 : 20

Step-by-step explanation:

Volume of a triangular prism = Area of the triangular base × Height

                                                = \frac{1}{2}(\text{Base})(\text{Height of the triangle}) × Height

                                                = [\frac{1}{2}(4)(5)] × 9

                                                = 90 cm³

Volume of the rectangular prism or cuboid = Length × Width × Height

                                                                        = 6 × 5 × 20

                                                                        = 600 cm³

Therefore, ratio of the volumes of triangular prism and cuboid = \frac{90}{600}

                                                                                                       = \frac{3}{20}

                                                                                                       = 3 : 20

8 0
3 years ago
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