Answer:
distance formula attached...
it's approximately 8.6
Step-by-step explanation:
Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
432 million, 540 times .20 equals 108, subtract 108 from 540 and you get your answer
The required number is -3 which when added to the numerator and to the denominator of 5/8 results in a fraction whose value is 0.4.
<h3>What is a fraction?</h3>
Fraction is the ratio of a particular part to the whole parts of an object. A fraction has a numerator and a denominator.
<h3>Calculation:</h3>
The given fraction is 5/8
Consider a number as 'x' which is added to both the numerator and the denominator of the given fraction.
So,
(5 + x)/(8 + x)
Since it is given that the result is 0.4 i.e., 4/10, we can write
(5 + x)/(8 + x) = 4/10
⇒ 10(5 + x) = 4(8 + x)
⇒ 50 + 10x = 32 + 4x
⇒ 10x - 4x = 32 - 50
⇒ 6x = -18
⇒ x = -18/6
∴ x = -3
Therefore, the required number is -3.
Check:
(5 + (-3))/(8 + (-3)) = (5 - 3)/(8 - 3) = 2/5 = 0.4
Learn more about fractions here:
brainly.com/question/17220365
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Answer:
The answer to your question is L = 10 in , M = 9 in ; S = 5 in
Step-by-step explanation:
Data
longest side = 5 + x in
medium side = 4 + x in
shortest side = x
Perimeter = 24 in
Process
1.- Write and equation to solve this problem
Perimeter = longest side + medium side + shortest side
Substitution
24 = (5 + x) + (4 + x) + x
Simplification
24 = 5 + x + 4 + x + x
24 = 9 + 3x
24 - 9 = 3x
15 = 3x
x = 15/3
x = 5
2.- Calculate the lengths of the side
Longest side = 5 + 5 = 10 in
Medium side = 5 + 4 = 9 in
Shortest side = 5 in
