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2 years ago

What is the measure of \angle x∠xangle, x? Angles are not necessarily drawn to scale.

Mathematics

2 answers:

GuDViN [60]2 years ago

3 0

Answer:

Step-by-step explanation:

x + 149 = 180

x = 180 - 149

x = 31

Answer: 31

Elina [12.6K]2 years ago

3 0

Answer:

31°

Step-by-step explanation:

x + 149° = 180°

<em>reason</em> : because they are supplementary angle...

x = 180° - 149°

x = 31°

$...$

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Answer:

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A ratio shows us the number of times a number contains another number. The ratio of the sides, base area, and volume are equal to 3:1, 9:1, and 27:1, respectively.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.

Given the two lateral sides of the pyramids, therefore, the ratio of the sides of the pyramid can be written as,

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3 years ago

The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.

taurus [48]

Answer:

$A\approx 28^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that area of triangle ABC is 3√2 square inches.

$\text{Area}=\frac{1}{2}\text{Base}\times \text{height}$

We know that area of triangle an be found using trigonometry as:

$\text{Area}=\frac{1}{2}\times c\times h$

$\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)$

$3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)$

$3\sqrt{2}=9\cdot \text{sin}(A)$

$9\cdot \text{sin}(A)=3\sqrt{2}$

$\text{sin}(A)=\frac{3\sqrt{2}}{9}$

$\text{sin}(A)=\frac{\sqrt{2}}{3}$

Now, we will use inverse sine to find the value of angle A as:

$A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})$

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