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Crank
2 years ago
7

Look at the information below. The sum of the measures of angle M and angle R is 90°. © The measure of angle M is (5x + 10). The

measure of angle R is 55º. Write an equation that can be used to determine the value of x?​

Mathematics
1 answer:
kupik [55]2 years ago
8 0

Answer:

Solution given;

<M=5x+10

<R=55

<M+<R=90°

<u>5</u><u>x</u><u>+</u><u>1</u><u>0</u><u>+</u><u>5</u><u>5</u><u>=</u><u>9</u><u>0</u><u>°</u><u>[</u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>equation</u><u>]</u>

<u>now</u><u> </u><u>solving</u><u> </u><u>it</u>

<u>5</u><u>x</u><u>=</u><u>9</u><u>0</u><u>-</u><u>6</u><u>5</u>

<u>5</u><u>x</u><u>=</u><u>2</u><u>5</u>

<u>x</u><u>=</u><u>2</u><u>5</u><u>/</u><u>5</u>

<u>x</u><u>=</u><u>5</u><u>i</u><u>s</u><u> </u><u>your</u><u> </u><u>answer</u><u>.</u>

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An angle measures 2.2° less than the measure of its complementary angle. What is the measure of each angle?
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Answer:

28 and 62

Step-by-step explanation:

complementary angles add up to 90o

x+(x-34) =90

2x-34=90

2x=56

x=28 (small angle)

28+34=62 (big angle)

28+62 =90

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Quadrilateral ABCD is rotated 270° clockwise about the origin. What are the
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2 years ago
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Math:
Dahasolnce [82]

Answer:

a) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}, b) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

\sqrt{3}\cdot \csc x - 2 = 0

\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0

\sqrt{3} - 2\cdot \sin x = 0

\sin x = \frac{\sqrt{3}}{2}

x = \sin^{-1} \frac{\sqrt{3}}{2}

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

b) The equation must be simplified first:

\cos x + 1 = - \cos x

2\cdot \cos x = -1

\cos x = -\frac{1}{2}

x = \cos^{-1} \left(-\frac{1}{2} \right)

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

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3 years ago
What is the answer to 5+5=
HACTEHA [7]
The answer to 5+5 is 10
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