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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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An angle measures 111.4° more than the measure of its supplementary angle. What is the measure of each angle?
fomenos

The measure of the supplementary angles are 34.3 and 145.7 degrees.

<h3>What are supplementary angles?</h3>

Supplementary angles are those angles that sum up to 180 degrees.

In other words, two angles are Supplementary when they add up to 180 degrees.

Therefore, the angles measures 111.4° more than the measure of it's supplementary angle.

Hence,

let

x = measure of the other angle

x + x + 111.4 = 180

2x + 111.4 = 180

subtract 111.4 from both sides

2x + 111.4 - 111.4 = 180 - 111.4

2x = 68.6

divide both sides by 2

x = 68.6 / 2

x = 34.3

Other angle  = 34.3 + 111.4 = 145.7°

Therefore, the measure of the supplementary angles are 34.3 and 145.7 degrees.

learn more on supplementary angles here: brainly.com/question/15966137

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6 0
1 year ago
for every 5 pounds of pasta served , 15 people can be fed. how many people can be fed with 4 pounds of pasta?
Sidana [21]

Answer:

12

Step-by-step explanation:

its direct proportion. 15 divided by 5 is 3 so you must multiply 3 by 4 to get the amount of people, which is 12

7 0
3 years ago
Is 0.25 the decimal of 4/16
frosja888 [35]
Yes.
A fraction means that you divide the top number (numerator) by the bottom number (denominator). So, if you divide 4 by 16, then the answer is 0.25
Another way to get this answer is if you know your basic fraction-decimal conversions. If you reduce the fraction by dividing both the numerator and the denominator by the same number (in this case, 4 works), then you get the fraction 1/4, which is also equal to 0.25
Good luck with your math, and I hope this helps :)
4 0
2 years ago
Read 2 more answers
Help fast I only have 10 mint
satela [25.4K]
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7 0
2 years ago
Evaluate 6(b - 3) + c; for b = 5 and c = 8
bulgar [2K]

Answer:

20

Step-by-step explanation:

given:

b=5

c=8

6(b-3)+ c

6(5-3)+8

6(2)+8

12+8

20

other method

6(b-3)+c

6b-18+8

30-18+8

12+8

20

4 0
2 years ago
Read 2 more answers
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