Will mark brainliest first correct answer asap

For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?

Kisachek [45]

Neither the laws of sines nor the law of cosines can be used to solve the triangle. The correct option is the third option - neither law can be used

<h3>Solving trianngles using the laws of sines & cosines </h3>

The law of sines is written as

$\frac{sinA}{a}=\frac{sinB}{b}= \frac{sinC}{c}$

Where a,b, and c are sides of any given triangle and A,B, and C are the angles.

This law is used when we are given either

Two angles and one side, or
Two sides and a non-included angle

The law of cosines is written as

a² = b² + c² -2bc cosA, or

b² = a² + c² - 2ac cosB, or

c² = a² + b² -2ab cosC

Where a,b, and c are sides of any given triangle and A,B, and C are the angles.

This law is used when we are given either

Three sides or
Two sides and the included angle

Now, for triangle xyz, which the measures of angles X,Y, and Z are known, neither law can be used to solve the triangle.

Hence, neither the laws of sines nor the law of cosines can be used to solve the triangle. The correct option is the third option - neither law can be used

Learn more on Solving triangles using the laws of sines & cosines here: brainly.com/question/22339733

5 0

2 years ago

A weather service records 28.8 inches of rain over a 12 month period. What is the average rainfall per month for the year?

Basile [38]

Answer:

B) 2.4 inches

Step-by-step explanation:

The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in one month you need to divide the total by the amount of months. 28.8/12 = 2.4

6 0

3 years ago

Suppose that an angle is bisected to form two smaller angles that measure (2+30)° and (8+6)° . What is the measure of the origin

Valentin [98]

M<A=(2+30) M<B=(8+6)

(2+30)+(8+6)

32+14

46

M<A+B=46

Answer: The original angle measured 46 Degrees

6 0

3 years ago

NEED HELP ASAP

CaHeK987 [17]

Answer:

The y-intercept is 6

Step-by-step explanation:

The y-intercept of a function is where the graph of an equation touches or crosses the vertical axis. This is usually the value of y when x = 0.

For this particular function, when x = 0 ⇒

f(0) = 0^2 + 4(0) + 6

= 0 + 0 + 6

= 6

Therefore, the y-intercept of this function is 6

8 0

2 years ago

Read 2 more answers

Which describes how triangle FGH could be transformed to triangle F prime G prime H prime in two steps? On a coordinate plane, t

charle [14.2K]

Answer:

A dilation by a scale factor of 4 and then a reflection across the x-axis

Explanation:

1. Vertices of triangle FGH:

F: (-2,1)
G: (-3,3)
H: (0,1)

2. Vertices of triangle F'G'H':

F': (-8,-4)
G': (-12,-12)
H': (0, -4)

3. Solution:

Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is a dilation by a scale factor of 4 and a reflection across the x-axis. This is the proof:

Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)

(0,1) → 4(0,1) = (0,4)

Rule for a reflection across the x-axis:{ (x,y) → (x, -y)

(0,4) → (0,-4)

Verfiy the transformations of the other vertices with the same rule:

Dilation by a scale factor of 4: multiply each coordinate by 4

4(-2,1) → (-8,4)

4(-3,3) → (-12,12)

Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate

(-8,4) → (-8,-4) ⇒ F'

(-12,12) → (-12,-12) ⇒ G'

Therefore, the three points follow the rules for a dilation by a scale factor of 4 and then a reflection across the x-axis.

4 0

3 years ago

Read 2 more answers