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3 years ago

Given: ∠2 ≅ ∠4 Which lines must be parallel?

Mathematics

2 answers:

leva [86]3 years ago

6 0

Answer:

B) p and q

Step-by-step explanation:

If ∠2 ≅ ∠4 then line p and line q must be parallel. ∠2 and ∠4 are corresponding angles, and corresponding angles are congruent.

Kipish [7]3 years ago

4 0

Answer:

p and q Option B

Step-by-step explanation:

Here line p and q are given

Line r and s are also given

line p & q are transversal lines for line r and s.

Given that,

Angle 2 is equal to angle 4.

∠2 = ∠4.

both angles are corresponding angles.

So, lines p and q are parallel.

That's the final answer.

I hope it will helps you.

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The directex of Y=1/8x^2 is?

nexus9112 [7]

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})} \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
y=\cfrac{1}{8}x^2\implies (y-0)=\cfrac{1}{8}(x-0)^2\implies 8(y-0)=(x-0)^2
\\\\\\
4(2)(y-0)=(x-0)^2\impliedby \textit{that means, p = 2}$

so... if you notice, the vertex is at h,k and that'd be the origin, 0,0

so...since the directrix is "p" units from the vertex, so it'd be 2 units from 0,0

now, the parabola has an equation with a positive leading term's coefficient, namely the 1/8 is positive, thus, the parabola is opening upwards, and the directrix is "outside" the parabola, so is below the vertex

that puts the directrix 2 units below 0,0

y = -2

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3 years ago

What graffiti tag sounds better? Relm or Sore

aleksandr82 [10.1K]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

When asked to find a number one-tenth as large as another number, what operation would you use? What about when asked to find a

kherson [118]

Apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

<u>Solution:</u>

Need to determine what operation is required to get one-tenth of a number and 10 times of a number

To get one tenth of a number, divide the number by 10.

For example to get one – tenth of 100, divide it by 10, we get 10 as a result.

$\frac{1}{10} \times 100 = 10$

To get ten times of a number, multiply the number by 10

For example 10 times of 10 = 10 x 10 = 100

Hence apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

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3 years ago

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miss Akunina [59]

Answer:

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Step-by-step explanation:

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3 years ago