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dybincka [34]
3 years ago
11

Given__________

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0

Answer:

plane containing a line

Step-by-step explanation:

In accordance with a plane postulate corollary, it is concluded that, for a given PLANE CONTAINING A LINE, there is one and only one perpendicular line through a given point on the line.

Hence, in this case, the correct complete statement is written as: Given PLANE CONTAINING A LINE there is one, and only one, a line perpendicular to the plane through that point.

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Select the point that is a solution to the system of inequalities.<br> y&lt; x2 + 6<br> y&gt; x2 - 4
Phoenix [80]
B is the correct answer
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Find the surface area of each figure. Round your answer to the nearest tenth if necessary.​
dedylja [7]

Answer:

556

Step-by-step explanation:

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3 0
3 years ago
What is the value of the expression?<br> |-2- (-2.5)<br> -4.5<br> –0.5<br> 0.5<br> 4.5
Snezhnost [94]

Answer: -0.5

Step-by-step explanation: Lets solve the equation, don't forget that your answer is an absolute value.

|-2-(-2.5)|

|0.5| Absolute value of 0.5 is -0.5

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8 0
3 years ago
If ΔABC is an equilateral triangle with, AB = 2x + 17, BC = 6x - 19, AC = 4x-1, find x and the measure of each side
Soloha48 [4]

Answer:

x=9, AB=BC=AC=35

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that AB=BC=AC. We are given the lengths of all 3 sides in terms of x, but we only need to set two of them equal to each other to solve for x. Let's use AB and BC to solve for x. We know that AB=BC, AB=2x+17, and BC=6x-19. Therefore, we can write the following equation to solve for

AB=BC\\2x+17=6x-19 (Substitute given values into equation)

Solving for x, we get:

2x+17=6x-19\\2x+17-17=6x-19-17 (Subtract 17 from both sides of the equation to isolate constants)

2x=6x-36 (Simplify)

2x-6x=6x-36-6x (Subtract 6x from both sides of the equation to isolate x)

-4x=-36 (Simplify)

\frac{-4x}{-4}=\frac{-36}{-4} (Divide both sides of the equation by -4 to get rid of x's coefficient)

x=9 (Simplify)

Therefore, AB=2x+17=2*9+17=18+17=35, and AB=BC=AC=35. Hope this helps!  

3 0
3 years ago
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