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3 years ago

Are the lines in the figure parallel, perpendicular, or neither?

Mathematics

2 answers:

icang [17]3 years ago

3 0

Answer:

Perpendicular

Step-by-step explanation:

masya89 [10]3 years ago

3 0

perpindicular

Step-by-step explanation:

Perpindicular has multiple sides and has a 90 degree plane

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F(-4,5), G(3,3), H(6,-4) and I(-1,-2).

lisabon 2012 [21]

I didn't mean to post the answer and can't figure out how to take it down. Somebody report it so it does go down and the question can be later answered. Thank you

4 0

3 years ago

Please help explain, tyy

ratelena [41]

Answer:

3. (3, 6)
4. (3, 7)
5. (3, 36)

Step-by-step explanation:

These are slope functions, so there's is no definite answer for x as it tells you to solve when x is 3. So put simply lets do that. Knowing that x is now 3, we can solve for all the functions. This will give you y, which is f(x) which just tells you the equations represents a function or slope on a graph. All these equations create lines. Solving for question 3, 3 + 3 is 6, so f(x) = 6, and the answer is (3, 6). For 4, you do 3 x 3 - 2, which is 9 - 2 = 7. So (3, 7). So on and so forth.

3 0

3 years ago

Find the area of the smaller sector

Digiron [165]

Since the radius is 6 inches, the area is

$A=\pi r^2=36\pi$ squared inches.

Now, the full circle is a sector given by a 360° angle. So, the area of a 140° angle will be proportionate:

$140\div x = 360\div 36\pi$

Solving for $x$ , we have

$x=\dfrac{36\pi\cdot 140}{360}=14\pi$

3 0

3 years ago

In the trapezoid ABCD (AB∥CD) point M∈AD, so that AM:MD=3:5. Line L ∥AB and going through point M intersects diagonal AC and leg

siniylev [52]

Answer:

$\dfrac{AP}{PC}=\dfrac{3}{5}$

$\dfrac{BN}{CN}=\dfrac{3}{5}$

Step-by-step explanation:

Consider triangles AMP and ADC. In these triangles,

angle A is the common angle, so $\angle MAP\cong \angle DAC$ by reflexive property;
angles AMP and ADC are congruent as corresponding angles when two parallel lines MP and CD are cut by transversal AD.

Hence, triangles AMP and ADC are similar by AA similarity theorem.

Similar triangles have proportional corresponding sides, thus

$\dfrac{AM}{AD}=\dfrac{AP}{AC}\\ \\\dfrac{3x}{3x+5x}=\dfrac{AP}{AC}\\ \\\dfrac{AP}{AC}=\dfrac{3}{8}\Rightarrow AP=\dfrac{3}{8}AC\\ \\PC=AC-AP=AC-\dfrac{3}{8}AC=\dfrac{5}{8}AC,$

$\dfrac{AP}{PC}=\dfrac{\frac{3}{8}AC}{\frac{5}{8}AC}=\dfrac{3}{5}$

Consider triangles ACB and PCN. In these triangles,

angle C is the common angle, so $\angle ACB\cong \angle PCN$ by reflexive property;
angles ABC and PCN are congruent as corresponding angles when two parallel lines PN and AB are cut by transversal BC.

Hence, triangles ACB and PCN are similar by AA similarity theorem.

Similar triangles have proportional corresponding sides, thus

$\dfrac{CP}{AP}=\dfrac{CN}{CB}\\ \\\dfrac{5x}{3x+5x}=\dfrac{CN}{CB}\\ \\\dfrac{CN}{CB}=\dfrac{5}{8}\Rightarrow CN=\dfrac{5}{8}CB\\ \\BN=BC-CN=BC-\dfrac{5}{8}BC=\dfrac{3}{8}BC,$

$\dfrac{BN}{CN}=\dfrac{\frac{3}{8}BC}{\frac{5}{8}BC}=\dfrac{3}{5}$

4 0

3 years ago

Two number cubes have sides labeled 1 through 6. Both number cubes are rolled. How many different outcomes will have a sum of 6?

uranmaximum [27]

Answer:

1/6 ......................

5 0

3 years ago