Help please, also provide work

Mathematics

1 answer:

Andreas93 [3]1 year ago

8 0

Answer:

9) 128
10) 78
11) 31
12) 148

Step-by-step explanation:

9) we know that the segment across from the angle 48° is double the angle.

48 · 2 = 96

The segments around the circle should all add up to 360 so we add the two segments we know to find the unknown segment.

136 + 96 = 232

360 - 232 = 128

The answer for 9 is 128.

10)

61 + 80 = 141

180 - 141 = 39

39 * 2 = 78

The answer for question 10 is 78.

11)

236 + 62 = 298

360 - 298 = 62

62 ÷ 2 = 31

The answer for question 11 is 31.

12)

50 · 2 = 100

100 + 112 = 212

360 - 212 = 148

The answer for question 12 is 148.

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noname [10]

Sum of linear pair of angles = 180°

<EFG + <GFH = 180°

2n + 21 + 4n + 15 = 180°

6n + 36 = 180°

6n = 144

n = 24

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<GFH = 4n + 15 = 4(24) + 15 = 111°

6 0

3 years ago

A printing company charges $42 plus $0.05 per page. Another company just charges $0.08 per page. How many pages are in an order

Nookie1986 [14]

There should be 1,400 pages in an order that costs the same for both companies.

Let x be the unknown number of pages.

1st Company = 42 + 0.05x
2nd Company = 0.08x

0.08x = 42 + 0.05x
0.08x - 0.05x = 42
0.03x = 42
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To check

0.08x = 42 + 0.05x
0.08 (1400) = 42 + (0.05 * 1400)
112 = 42 + 70
112 = 112

7 0

2 years ago

Find the product. state your answer in standard form <br><br> (x+7)(x squared + 6x - 8)

USPshnik [31]

Answer:

${x}^{3} + 13 {x}^{2} + 34x - 56$

Step-by-step explanation:

$(x + 7)( {x}^{2} + 6x - 8) \\ = x ( {x}^{2} + 6x - 8) + 7( {x}^{2} + 6x - 8) \\ = {x}^{3} + 6 {x}^{2} - 8x + 7 {x}^{2} + 42x - 56 \\ = {x}^{3} + 6 {x}^{2} + 7 {x}^{2} + 42x - 8x - 56 \\ = {x}^{3} + 13 {x}^{2} + 34x - 56 \\$