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sveta [45]
2 years ago
8

100 Points Solve for X

Mathematics
2 answers:
bixtya [17]2 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]2 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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Dmitry [639]
The answer is 13/20. So 3/5 is equal to 6/10 so you're looking for the fraction that's half of 7/10 and 6/10 which is 6.5/10 but you can't use decimals in a fraction so you multiply both sides by 10 which would equal 65/100 and simply, and that would be 13/20.
7 0
3 years ago
The elves made a total of 739 dolls on Monday. They made 9 different types of dolls. How many of each doll did they make?
castortr0y [4]
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8 0
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Round 681,858 to the nearest hundred thousand
jeka94

Answer:

700,000

Step-by-step explanation:

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mr Goodwill [35]
Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)

Multiply equation (1) by 2:
22x + 30y + 46 = 0

Multiply equation (2) by 15:
105x - 30y - 300 = 0

Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
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Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
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3 years ago
One card from a deck of cards Is selected, it's is replaced, and another card is chosen. What is the probability that the first
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Answer:

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Step-by-step explanation:

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Number of red cards in deck = 26

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Probability of choosing a red :

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With replacement :

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Hence,

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P(red) * P(diamond)

1/2 * 1/4

= 1/8

6 0
2 years ago
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