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2 years ago

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The sum of the measures of the interior angles of the parallelogram is 360°. Write and solve an equation to find the value of th

e variable

1 answer:

vova2212 [387]2 years ago

3 0

2x+70=360
x=145

that's the answer

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Bogdan [553]

The sum of the inner angles of a polygon with n sides is $180(n-2)$

Since your polygon has 6 sides, the sum of its inner angles has to be

$180(6-2) = 180 \cdot 4 = 720$

On the other hand, the sum of its inner angles is

$75+132+113+108+160+x = 588+x$

And it has to be 720, so we have

$588+x=720 \iff x = 720-588 = 132$

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3 years ago

If 6 notebooks cost 2.50, how much will 9 notebooks cost at the same rate?

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I believe it is $3.33

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3 years ago

Read 2 more answers

In the diagram, AB = 10 and AC = 2/10. What is the

Mekhanik [1.2K]

Answer:
D.20 + 2/10 units

Step-by-step Explanation:
Perimeter is the distance all round a figure.
AB = 10. This is given in the question
AC = √((3-5)²+(4--2)²
= √(4+36)
=√40 = 6.32 units
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Perimeter = AB+AC+BC
= 10+6.32+10
= 26.32 units
From the choices, we do not have an exact answer. The one that mosts suits the perimeter is 20 + units.

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1 year ago

Un buzo realizó los siguientes descensos desde la superficie: Descenso 1: -25 m Descenso 2: -15 m Descenso 3: -25 m ¿A qué dista

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Step-by-step explanation:

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2 years ago

Find all degree solutions in the interval 0° ≤ θ < 360°. If rounding is necessary, round to the nearest tenth of a degree. Us

xenn [34]

Answer:

$\theta_{1} \approx 30.473^{\textdegree}$

$\theta_{2} \approx 120.473^{\textdegree}$

$\theta_{3} \approx 210.473^{\textdegree}$

$\theta_{4}\approx 300.473^{\textdegree}$

Step-by-step explanation:

The equation needs to be rearranged in terms of one trigonometric function:

$5\cdot \sin 2\theta - 9\cdot \cos 2\theta = 0$

$5\cdot \tan 2\theta - 9 = 0$

$5\cdot \tan 2\theta = 9$

$\tan 2\theta = \frac{9}{5}$

$\theta = \frac{1}{2}\cdot \tan^{-1} \left(\frac{9}{5} \right)$

The tangent function has positive values in the 1st and 3rd Quadrants. Then, the solutions are:

$\theta_{1} \approx 30.473^{\textdegree}$

$\theta_{2} \approx 120.473^{\textdegree}$

$\theta_{3} \approx 210.473^{\textdegree}$

$\theta_{4}\approx 300.473^{\textdegree}$

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2 years ago