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Arisa [49]
3 years ago
11

Which of the following values are solutions to the inequality 6<x+21, -4 2,4 3,0​

Mathematics
2 answers:
3241004551 [841]3 years ago
7 0

Answer:

4

Step-by-step explanation:

6<x+2 original

6-2<x subtract 2 from both sides

4>x flip the sign because we subtracted from both sides

4>x final, any number greater than 4 is X

checking:

plug in any value greater than 4 into x, for example, lets use 5

6<x+2

6<5+2

6<7   6 is less than 7, this is true the equasion works

pogonyaev3 years ago
3 0

Answer:

What are the options I will figure it out

Step-by-step explanation:

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4 0
3 years ago
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The painting shown on the right has an area of 300 in^2. what is the value of x?
Nataly [62]

Answer: X = 10.20240940...

Step-by-step explanation:

x(2x + 9) = 2x^2 + 9x

2x^2 + 9x = 300

- 300 ON BOTH SIDES

2x^2 + 9x - 300 = 0

SOLVE USING THE QUADRATIC FORMULA

x = -b +/- all root (b)^2 - 4(a)(c) All over 2(a)

When all the values are plugged in:

When using "+" in the equation you should get:

x = 10.20240940…

When using "-" in the equation you should get:

x = −14.70240940…

Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940...

YOUR ANSWER IS:    x   =  10.20240940...

4 0
2 years ago
In a particular triathlon the athletes cover 1/24 of the total distance by
pav-90 [236]

Answer:

15/8

Step-by-step explanation:

Let "d" be the total distance, that is, the distance for swimming (s), running (r) and going by bike (b).

d = s + r + b   [1]

1/24 of the total distance is covered by  swimming.

s = 1/24 d   [2]

1/3 of the distance is covered by running.

r = 1/3 d  [3]

If we replace [2] and [3] in [1], we get

d = 1/24 d + 1/3 d + b

b = d - 1/24 d - 1/3 d

b = 24/24 d - 1/24 d - 8/24 d

b = 15/24 d = 5/8 d

The ratio of  the distance covered by bike to the distance covered by running is:

b/r = (5/8 d)/(1/3 d) = 15/8

5 0
3 years ago
In a triangle, two angles have measures of 45 degrees and 85 degrees. What is the measure of the third angle in this triangle?
Blizzard [7]

Answer:

50 degrees

Step-by-step explanation:

All three angles in a triangle add up to 180 degrees. If you know the measure of two angles, add them together and subtract the sum from 180.  

45+85=130.  Then, subtract 130 from the total, or 180.   180-130=50. The measure of the third angle of the triangle is 50 degrees.

5 0
3 years ago
How to calculate angle BCE?
Olenka [21]

Answer:

75.3 degrees ( to nearest tenth).

Step-by-step explanation:

If we take a section  through the plane BCHE we get a rectangle.

BC = 2 cm and BE  = √(7^2 + 3^2). ( By the pythagoras theorem).

tan < BCE = √(7^2 + 3^2) / 2.

So the m < BCE = 75.3 degrees.

5 0
3 years ago
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