What is the measure of

Mathematics

1 answer:

cricket20 [7]2 years ago

7 0

Answer:

m∠ADC = 90°

Step-by-step explanation:

Since, AB║CD and side AD is a transverse intersecting these parallel lines,

m∠DAC + m∠ADC = 180° [Consecutive interior angles]

85° + m∠ADC = 180°

m∠ADC = 180 - 85

= 95°

Therefore, measure of angle ADC = 95° will be the answer.

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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

6 0

3 years ago

$12 per 45 minutes is how much per hour? (I will give brainliest to the first person that answers)

gogolik [260]

Answer:

16 per hour

Step-by-step explanation:

12/45 x/60 cross multiply

45x=720 divide by 45 from each side

x=16

8 0

2 years ago