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sveta [45]
3 years ago
8

100 Points Solve for X

Mathematics
2 answers:
bixtya [17]3 years ago
5 0
A) By the rules of secants,
  5(x +5) = 6(6 +4)
  x + 5 = 12
  x = 7


b) 3(3 +5) = 4(x +4)
  6 = x +4
  2 = x
Gemiola [76]3 years ago
3 0

Answer:

a) x = 7

b) x = 2

Step-by-step explanation:

5 ( x + 5 ) = 6 ( 6 +4 )

⇒ Expand brackets

5 x + 25 = 36 + 24

⇒ Simplify

5 x + 25 = 60

⇒ Minus 25 from both sides to isolate  5 x

5 x = 35

 x = 7

3 ( 3 + 5 ) = 4 ( x + 4 )  

⇒ Expand brackets

9 + 15 = 4 x + 16

⇒ Simplify

24 = 4 x + 16

⇒ Minus 16 from both sides to isolate 4 x

8 = 4 x

⇒ Divide both sides by 4 to isolate x

2 = x

 

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Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
Taya2010 [7]

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


4 0
3 years ago
Read 2 more answers
Do number 2 please. Please bots don’t answer! I just trying to get help :(
zavuch27 [327]

Answer:

no 2. cube a' will be smaller because it was multiplied by a fraction

no 3. c

8 0
2 years ago
HELP ASAP PLEASEEEEEE
lord [1]

Answer:

The answer is 90 4/10

Step-by-step explanation:

if u divide 4 from 10 u will get 0.4

3 0
3 years ago
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I need the answer to a parts I-iii and the answer to b
fomenos

Answer:

a)

i) Mean = 72

ii) Median = 72

iii) Mode = 72

b)

69, 70, 71, 72, 72, 72, 73, 74, 75

Step-by-step explanation:

<u>a. To find mean, median and mode</u>

It is given that all the 9 students get 72 marks.

Therefore the data set be,

72, 72, 72, 72, 72, 72, 72, 72 72

<u>i) mean </u>= (sum of data)/(total number of data)

 = (9 * 72)/9 = 9

<u>ii) Median </u>- Central data in the data set when arranging ascending or descending order

72, 72, 72, 72, 72, 72, 72, 72 72

Median = 72

<u>iii) Mode </u>- Most repeating data in the data set

Here mode = 72

<u>b). To find a data set</u>

69, 70, 71, 72, 72, 72, 73, 74, 75

Here Mean, mode and median are all 72

3 0
3 years ago
Picture attached. help plz :)
dlinn [17]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
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