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3 years ago

Write the converse of the statement below. If lines are perpendicular, then they intersect at right angles

1 answer:

7 0

Two lines that are always the same distance apart and never touch. this is called your Parallel lines

Two lines that do not intersect and are not parallel. this is called your Skew lines


Parallel planes are found in shapes like cubes, which actually has three sets of parallel planes. this is called your Parallel planes

If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles. this is called your Parallel postulate

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HELP IN NEED!

laiz [17]

Answer:

$AB=12\sqrt{3}\ cm$

Step-by-step explanation:

If AB is tangent to the circle, then angle ABO is right angle and triangle AOB is special $30^{\circ}-60^{\circ}-90^{\circ}$ triangle. In this triangle, the leg that is opposite to the angle of 30° is half of the hypotenuse. Thus,

$AO=2BO=2\cdot 12=24\ cm.$

By the Pythagorean theorem,

$AB^2=AO^2-BO^2,\\ \\AB^2=24^2-12^2,\\ \\AB^2=576-144=432,\\ \\AB=12\sqrt{3}\ cm.$

6 0

2 years ago

Find the equation of a line that goes through the points (-3,5) and (5,-11)

Rasek [7]

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-11}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-3)}}}\implies \cfrac{-16}{5+3}\implies \cfrac{-16}{8}\implies -2$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5-2(x+3)\implies y-5=-2x-6\implies y=-2x-1$

3 0

2 years ago

OK SO HERES THE PROBLEM. MY BRAIN HURTS. PLZZZ help me with this math problem

jeka57 [31]

Oh Foxy, Foxy, how totally debilitated you must be ! Try to relax. Nobody
enjoys a painful brain, and believe me, this problem is not worth it.

Let me put it to you this way: What if the problem said . . .

-- Demarcus has $8 more than his sister.
-- His sister has $4.
-- How much money ' M ' does Demarcus have ?

If your brain didn't hurt, you could quickly solve this right in there.
You would know that Demarcus' money ' M ' = 8 + 4 .

That's almost exactly what the problem does say.
Except it doesn't say he has "$8 more than his sister",
it says he has "at least" that much.
So you know that ' M ' is not exactly = 8 + 4, but that's the least it could be.
The actual amount of ' M ' is more than that.

Surely you can handle it from here, even with half of your brain
tied behind your back.

Take a good hard look at ' A ', and then go lie down.

7 0

2 years ago

If the area of Bianca’s rectangular backyard patio is represented by the expression x2−18x + 81, and the length of the patio is

frosja888 [35]

Answer:

a square backyard with width (x - 9)

Step-by-step explanation:

x²−18x + 81 = x² - (2 x 9) x + 9² = (x - 9)²

width = area / length = (x - 9)² / (x - 9) = x - 9

Length = width

This is a square backyard

4 0

3 years ago

The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer in simplest f

zhannawk [14.2K]

Answer:

x = 21/8

Step-by-step explanation:

So 8 is being multiplied by something to get to 21

So 8x = 21

Solve for x:

8x = 21
x = 21/8

-Chetan k

7 0

2 years ago