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Alexeev081 [22]
3 years ago
15

Write the inequality using interval notation and illustrate the inequality using the real number line

Mathematics
1 answer:
zaharov [31]3 years ago
6 0

    1 ≤ 3 - x

x + 1 ≤ 3        <em>added x to both sides</em>

     x ≤ 2        <em>subtracted 1 from both sides</em>

Number line: ←----------------------·2    (fill in the dot at 2 since it is "equal to")

Interval Notation: (-∞, 2]

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In the 30-60-90 triangle below, side s has a length of _ and side q has a length of _.
gregori [183]

Answer: F

Step-by-step explanation:

For a 30-60-90 triangle, we know that the hypotenuse is 2x. Since we know the hypotenuse is 10, we can solve for x.

2x=10

x=5

Now that we know x is 5, we can use this to solve for s and q. The side across from 30° is just x. Since we know x, s is 5.

The side across from 60° is x√3. Since we know what x is, we can just plug in. q is 5√3.

4 0
3 years ago
-2 1/8 divided by 1 1/4
attashe74 [19]

Answer:

-1\frac{7}{10}

Step-by-step explanation:

  1. Convert the mixed numbers into improper fractions: \frac{-17}{8} ÷ \frac{5}{4}
  2. Apply the fractions formula for division: \frac{-17*4}{8*5} = \frac{-68}{40}
  3. Simplify: -1\frac{7}{10}
6 0
4 years ago
I found this answer on the Internet. *If* it were an original answer, below is how I would grade it and why.
Dennis_Churaev [7]

Answer:

1) It is given that line AB is tangent to the circle at A.

∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)

Thus, the measure of ∠CAB is 90º.

4 0
3 years ago
Solve the system using elimination.<br><br> 2x + 3y = 17<br> x + 5y = 19
ale4655 [162]

\left\{\begin{array}{ccc}2x+3y=17\\x+5y=19&|\text{multiply both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+3y=17\\-2x-10y=-38\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad-7y=-21\qquad\text{divide both sides by (-7)}\\.\qquad\qquad \boxed{y=3}\\\\\\\text{Substitute the value of y to the second equation}\\\\x+5(3)=19\\\\x=15=19\qquad\text{subtract 15 from both sides}\\\\\boxed{x=4}\\\\Answer:\ x=4\ and\ y=3.

5 0
3 years ago
Um i need help with this.
blsea [12.9K]

Answer:

None of these!

Step-by-step explanation:

x + y + z = x + y + z only over here

5 0
3 years ago
Read 2 more answers
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