1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melamori03 [73]
2 years ago
14

In ∆XYZ, m∠X = 152, y = 15, and z = 19. Find side x and the measure of angle Y to the nearest tenth

Mathematics
1 answer:
solong [7]2 years ago
7 0

The measure of the side x is approximately 33 and the measure of angle Y is approximately 12.321°.

<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>

In this problem we must apply the law of cosine and the law of sine to determine the angle Y:

<h3>Law of cosine</h3>

x = \sqrt{y^{2}+z^{2}-2\cdot y\cdot z\cdot \cos X}

x = \sqrt{15^{2}+19^{2}-2\cdot (15)\cdot (19)\cdot \cos 152^{\circ}}

x \approx 33

<h3>Law of sine</h3>

\frac{\sin Y}{y} = \frac{\sin X}{x}

Y = \sin^{-1}\left(\frac{y}{x}\cdot \sin X \right)

Y = \sin^{-1}\left(\frac{15}{33}\cdot \sin 152^{\circ} \right)

Y \approx 12.321^{\circ}

The measure of the side x is approximately 33 and the measure of angle Y is approximately 12.321°. \blacksquare

To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/25813512

You might be interested in
What is the measure of a base angle of an isosceles triangle if the measure of the vertex tangle is 38 degrees and the two congr
Anit [1.1K]

The measures of the angles of the isosceles triangle are 55, 55 and 70.

Explanation:

An isosceles triangle has two congruent base angles and a vertex angle.

Let b =the measure of one of the base angles.

Let v = the measure of the the vertex angle.

The vertex angle is 40 degrees less than the sum of the base angles.

v = b + b − 40 = 2 b − 40

The sum of the measures of the angles of a triangle is 180.

b + b + v = 180

Substitute 2 b − 40 for v .

b + b + 2 b − 40 = 180

4 b − 40 = 180

+40+40

Combine like terms.

Add 40 to both sides.

4b=220

Divide by 4

4 b/4 = 220 /4

b = 55

v = 2 b − 40

v = 2 ( 55 ) − 40 = 70

4 0
3 years ago
What is the area of the figure below?
Naddik [55]

Answer:1,950

Step-by-step explanation:

Hope this helps you

3 0
2 years ago
Read 2 more answers
aflati masurile a doua unghiuri complementare stiind ca masura unuia dintre ele este cu 18° mai mica decat triplul masurii celui
Ahat [919]

Answer:

The angle is "27 and 63".

Step-by-step explanation:

Let A and B are two angles, in which  A is " \frac{1}{2} " complementary angles  and B be is another complementary angle.

Condition of complementary angle :

A+B =90 ......(i)

Solution:

\ A = \ 3B - 18 \\\\ \ put \ the \ value \ of \ A \ in \ equation.....(i) \\\\  \ Equation:  \\ \\\Rightarrow  \ A\ +\ B \ =\ 90 \\\\\Rightarrow \ 3B\ -\  18 \ + \ B \ = \ 90 \\\\\Rightarrow \ 4B \ = \ 90 +18 \\\\\Rightarrow \ 4B = 108 \\\\ \Rightarrow  B = \frac{108}{4} \\\\ \Rightarrow   B \ = \ 27\\

\ put \ the \ value \ of \ B \ in \ equation (i).\\\\ \ Equation: \\\\\Rightarrow A+B=90\\\\\Rightarrow A+27=90\\\\\Rightarrow A=90-27\\\\\Rightarrow A= 63

7 0
3 years ago
28÷x=168<br>What is the value of "x"​
coldgirl [10]
It is 1/6 or .16 I used Photomath
7 0
3 years ago
Help pleaseee 30 pointsss AM I CORRECT???
masha68 [24]

Answer:

Yes you are correct

Step-by-step explanation:

By doing that, you will get 8 which is the correct answer

4 0
2 years ago
Other questions:
  • A prism has a square base with a side length of 4 1 2 4 1 2 feet. The height of the prism is 6 feet. What is the volume of the p
    9·1 answer
  • What equation models this function?<br><br>Enter your answer in the box.<br>f(x) =​
    14·1 answer
  • How to simplify (n+2)!/n! I will mark brainliest and give a thanks!
    13·1 answer
  • It is given that y is directly proportional to x raise to power n and write down the value of n when y metre square is area of a
    15·1 answer
  • Help please!!No links!!
    11·1 answer
  • PLEASE HELP ME
    8·1 answer
  • Helppp pls<br> will give brainliest
    5·2 answers
  • Find all solutions to the equation. cos x = - 1/2
    8·1 answer
  • Find each sum.<br> 2.7 and 4.1
    8·1 answer
  • Solve for X.<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%7D%20%3D9" id="TexFormula1" title="\frac{3}{x} =9" alt="\f
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!