In each figure below, find m<1 and m<2 if a is parallel to b. You don't have to show work.

Mathematics

1 answer:

Gekata [30.6K]2 years ago

5 0

Answer:

m <5 = 71 degrees.

m <8 = 109 degrees.

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3[5x - 4] - [-30 - 45x]

Nimfa-mama [501]

$3(5x - 4) - (-30-45x)$
$= 15x - 12 + 30 + 45x$ <- Distributive Property
$=60x + 18$ <- Combine Like Terms

If you're trying to solve for 0:

$0 = 60 x + 18$
$-18 = 60x$ <- Subtracted 18 from both sides
$x = \frac{-18}{60} = \frac{-9}{30}$ <- Divided both sides by 60 and then simplified.

$x = \frac{-9}{30}$ <- Fraction Form
$x = -0.3$ <- Decimal Form

Give Brainliest for simple answer plz :P

3 0

2 years ago

Read 2 more answers

The value of y varies directly with x. When y = 25, x = 6 1/4. What is the value of y when x is 12? 4

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

if y = 25 when x = 6 1/4, then when y = 12, that would mean that we divided 25 by 2.0833. So we can do 6 1/4 divided by 2.0833 is the answer which is 3.00004800077.

(i think)

(probably wrong)

6 0

2 years ago

the function intersects its midline at (-pi,-8) and has a maximum point at (pi/4,-1.5) write an equation

Tcecarenko [31]

The equation that represents the sinusoidal function is $x(t) = -8 + 6.5 \cdot \sin \left[\left(\frac{2}{3} \pm \frac{4\cdot i}{3}\right)\cdot t + \left(\frac{2\pi}{3} \pm \frac{7\pi \cdot i}{3} \right)\right]$ , $i\in \mathbb{Z}$ .

<h3>Procedure - Determination of an appropriate function based on given information</h3>

In this question we must find an appropriate model for a periodic function based on the information from statement. Sinusoidal functions are the most typical functions which intersects a midline ( $x_{mid}$ ) and has both a maximum ( $x_{max}$ ) and a minimum ( $x_{min}$ ).

Sinusoidal functions have in most cases the following form:

$x(t) = x_{mid} + \left(\frac{x_{max}-x_{min}}{2} \right)\cdot \sin (\omega \cdot t + \phi)$ (1)

Where:

$\omega$ - Angular frequency
$\phi$ - Angular phase, in radians.

If we know that $x_{min} = -14.5$ , $x_{mid} = -8$ , $x_{max} = -1.5$ , $(t, x) = (-\pi, -8)$ and $(t, x) = \left(\frac{\pi}{4}, -1.5 \right)$ , then the sinusoidal function is: