Answer:
Option A
Step-by-step explanation:
Given:
- a. 3x-5= 3x + 5
- b. 3x-5= 3x - 5
- c. 3x - 5 = 2x+5
- d. 3x-5 = 2x + 10
To find:
- Which one of the linear equations have no solution.
Solution:
a) 3x-5= 3x + 5
Add 5 to both sides
3x-5= 3x + 5
3x - 5 + 5 = 3x + 5 + 5
Simplify
(Add the numbers)
3x - 5 + 5 = 3x + 5 + 5
3x = 3x + 5 + 5
(Add the numbers)
3x = 3x + 5 + 5
3x = 3x + 10
Subtract 3x from both sides
3x = 3x + 10
3x - 3x = 3x + 10 - 3
Simplify
(Combine like terms)
3x -3x = 3x + 10 - 3
0 = 3x + 10 - 3
(Combine like terms)
0 = 3x + 10 - 3
0 = 10
The input is a contradiction: it has no solutions
b) 3x-5= 3x - 5
Since both sides equal, there are infinitely many solutions.
c) 3x - 5 = 2x+5
Add 5 to both sides
3x = 2x + 5 + 5
Simplify 2x + 5 + 5 to 2x + 10
3x = 2x + 10
Subtract 2x from both sides
3x - 2x = 10
Simplify 3x - 2x to x.
x = 10
d) 3x-5 = 2x + 10
Add 5 to both sides
3x = 2x + 10 + 5
Simplify 2x + 10 + 5 to 2x + 15
3x = 2x + 15
Subtract 2x from both sides
3x - 2x = 15
Simplify 3x -2x to x.
x = 15
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Answer:
As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.
Therefore, <u><em>Option A</em></u> is the linear equation that has no solution.
Answer: The triangles are congruent by HL (hypotenuse leg)
We have two right triangles. The tickmarks show the legs are congruent. The hypotenuses are congruent because they overlap perfectly. The hypotenuses are a shared common side. Using HL, we can prove the triangles to be congruent.
Side note: You could use the pythagorean theorem to find the measure of the third pair of sides, and that would lead to using SSS.
Answer:
area of rectangle = 120 cm²
area of triangle = 24 cm²
area of trapezoid = 144 cm²
Step-by-step explanation:
12 * 10 = 120
12 * 4 = 48
48 / 2
add the triangle and rectangle area together
Answer:
68 games
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Games won = 85%
Game lost = 12
Here, 100% - 85% = 12
15% = 12
or 1% = 0.8
So, total games played (100%) = 80 games
Now, number of games won = Total games - Games lost
= 80 - 12
= 68 games
Hence, Kelly's team wins 68 games in the season.
Answer:
Olivia is 24 years old
step by step
because Olivia is 20 years old and Mike is 4 years older than her so Olivia is 24 years old
