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alekssr [168]
3 years ago
8

FIND THE VALUE OF X​

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

Answer:

By using the rule that the interior angles of any triangle equal 180 we see that:

m<ABC+m<CAB+m<ACB=180°

Therefore,

(2x+15)+(x+10)+(3x+5) = 180°

Now we have an equation and can solve for x:

Combine like terms:

(2x+15)+(x+10)+(3x+5) = 180°

6x+30=180°

6x+30-30=180-30

6x=150

x=25

To check our work just plug in 25 for x in each equation and the sum of those answers should add up to 180:

2x+15

2(25)+15

65

x+10

25+10

35

3x+5

3(25)+5

75+5

80

65+35+80=180

x=25 is valid

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
Help with this please
SVEN [57.7K]

Answer:

1. 26:5 or  

\frac{26}{5} or

5.2 as a decimal

2. 21:26 or  

\frac{21}{26} or

0.81 as a decimal

3. 21:5 or  

\frac{21}{5} or

4.2 as a decimal

4. 5:21 or  

\frac{5}{21} or

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Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.  

To write a ratio, we count the number of each quantity we are comparing. A part to whole ratio for letters and vowels would be the part compared to the whole. For example, there are 21 consonants to 26 letters in the alphabet. We write 21:26 or \frac{21}{26} or 0.81. We can also compare the number of vowels which is 5:26 or

A part to part ration compares a part to a part like the number of consonants is 21 with the number of vowels is 5. We write the ratio as consonants : vowels.  

21:5 or  

\frac{21}{5} or

4.2 as a decimal.  

We can reverse and write vowels : consonants.

5:21 or  

\frac{5}{21} or

0.24 as a decimal.  


5 0
3 years ago
Need solved fast! I can’t do it!!
sergeinik [125]

Answer:

<u>Please read below.</u>

Step-by-step explanation:

The instructions were followed, horizontal or vertical path and never diagonal:

75 76 81 66 65 14 13 8 7

74 77 80 67 64 15 12 9 6

73 78 79 68 63 16 11 10 5

72 71 70 69 62 17 2 3 4

55 56 57 58 61 18 1 22 23

54 53 52 59 60 19 20 21 24

45 46 51 50 37 36 31 30 25

44 47 48 49 38 35 32 29 26

43 42 41 40 39 34 33 28 27

6 0
3 years ago
A sum of $4000 is invested at 5.5% interest per year. Find the amount of time needed to double the money if it’s compounded mont
musickatia [10]

9514 1404 393

Answer:

  C)  12y 8m

Step-by-step explanation:

The amount of principal P at compound monthly at interest rate r per year is given by ...

  A = P(1 +r/12)^(12t) . . . . after t years

Here, we want to find t, so ...

  A/P = (1 +r/12)^(12t)

  log(A/P) = (12t)·log(1 +r/12)

  t = log(A/P)/(12·log(1 +r/12))

Filling in the given values, we find t to be ...

  t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months

It will take about 12 years 8 months to double the money.

8 0
3 years ago
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