All categories

3 years ago

LA and B are vertical angles. If m_A = (5x + 5) and m_B = (4x + 29), then find the measure of_A.

Mathematics

1 answer:

OverLord2011 [107]3 years ago

5 0

Answer:

If A and B are vertical angles, then they are congruent, so their measures are equal.

This means

(5x + 5)º = (4x + 29)º

5x + 5 = 4x + 29

x = 24

Then angle A has measure (5*24 + 5)º = 125º.

Step-by-step explanation:

You might be interested in

Solve this. Please and thank you.

Cerrena [4.2K]

The answer is d) -3/2=x

8 0

3 years ago

If for two non-zero vectors a,b : ∣a+b∣=∣a−b∣ then angle between them is:______a. 0b. 45c. 60d. 90

Eddi Din [679]

Answer:

$90^\circ$

Step-by-step explanation:

Given two non zero vectors, $\vec a, \vec b$ .

Let the angle between the two vectors = $\theta$

Given that:

$|\vec a+\vec b|=|\vec a-\vec b|$

Let us have a look at the formula for magnitude of addition of two vectors:

$|\vec x+\vec y|=\sqrt{x^2+y^2+2xycos\theta}$

Where $\theta$ is the angle between the two vectors.

formula for magnitude of subtraction of two vectors:

$|\vec x-\vec y|=\sqrt{x^2+y^2-2xycos\theta}$

As per the given condition:

$\sqrt{a^2+b^2+2abcos\theta}=\sqrt{a^2+b^2-2abcos\theta}$

Squaring both sides:

$a^2+b^2+2abcos\theta=a^2+b^2-2abcos\theta\\\Rightarrow 2abcos\theta=-2abcos\theta\\\Rightarrow cos\theta = -cos\theta\\\Rightarrow 2cos\theta = 0\\\Rightarrow cos\theta = 0\\\Rightarrow \theta = 90^\circ$

So, the angle between the two vectors is: $90^\circ$

7 0

3 years ago

Find the missing side

Marrrta [24]

Answer:

x = 71.5 in

Step-by-step explanation:

Remember the SOHCAHTOA rule

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case, we use: CAH.

cos(52) = 44/x

x = 44/cos(52)

x = 71.5 inches

5 0

2 years ago

Hello everyone!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

PtichkaEL [24]

Answer:

hello

Step-by-step explanation:

h-e-l-l-o

6 0

3 years ago

Ordered pair 12, 24 in the context of the problem

Schach [20]

It would be 36 because ypu are adding 12.

7 0

3 years ago

LA and B are vertical angles. If m_A = (5x + 5) and m_B = (4x + 29), then find the measure of_A.​

LA and B are vertical angles. If m_A = (5x + 5) and m_B = (4x + 29), then find the measure of_A.