# Which equation can be used to solve for x in the following diagram?

x + (4x-85) = 90

Step-by-step explanation:

The two angles are complementary which means they add to 90 degrees

x + (4x-85) = 90

Step-by-step explanation:

Both angles are makes a right angle which adds up to 90 degrees so they both have to add up to 90 degrees.

## Related Questions

Thien and her friends earned \$80 washing cars. Thien received \$30 from this amount.What is Thien's share as a percentage of the total amount earned?

37.5%

You can just do 30/80

A particle moving along a line has position s(t) = t^4 − 20t^2 m at time t seconds. Determine: (a)- At which times does the particle pass through the origin? (b)- At which times is the particle instantaneously motionless.

The particle passes through the origin at t = 0 and t = ±√20. The particle is instantaneously motionless at t = 0 and t = ±√10.

(a) To determine the times at which the particle passes through the origin, we need to find when the position function equals zero. So, we set s(t) = 0 and solve for t.
t4 - 20t2 = 0
Factoring out a t2, we get:
t2(t2 - 20) = 0
Setting each factor equal to zero and solving for t gives us the following solutions:
t = 0 (giving us the initial position), and t = ±√20 (approximately t = ±4.47).

(b) To determine when the particle is instantaneously motionless, we need to find when the velocity of the particle is equal to zero. The velocity function of the particle is the derivative of the position function. So, we differentiate s(t) with respect to t to find the velocity function.
v(t) = s'(t) = 4t³ -40t
Setting v(t) = 0, we have:
4t³ -40t = 0
Factoring out a 4t, we get:
4t(t² - 10) = 0
Setting each factor equal to zero and solving for t gives us the following solutions:
t = 0 (giving us the initial velocity), and t = ±√10 (approximately t = ±3.16).

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The particle passes through the origin at t = 0 and t = √20 seconds. The particle is instantaneously motionless at t = 0 and t = ±√10 seconds.

### Explanation:

The position of the particle at time t is given by the equation s(t) = t4 - 20t2. To determine the times when the particle passes through the origin, we set s(t) equal to zero and solve for t. This gives us the quadratic equation t4 - 20t2 = 0, which can be factored as t2(t2 - 20) = 0. The solutions to this equation are t = 0 and t = ±√20. Since t cannot be negative in this scenario, the particle passes through the origin at t = 0 and t = √20 seconds.

To determine the times when the particle is instantaneously motionless, we need to find the times when the velocity of the particle is equal to zero. The velocity of the particle can be found by taking the derivative of the position function with respect to time, v(t) = 4t3 - 40t. Setting this equation equal to zero and solving for t gives us the cubic equation 4t3 - 40t = 0. This equation can be factored as 4t(t2 - 10) = 0. The solutions to this equation are t = 0 and t = ±√10. Therefore, the particle is instantaneously motionless at t = 0 and t = ±√10 seconds.

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Solve for X
2/3 x +10/60 =100/60

2 1/4

Step-by-step explanation:

subtract 10/60 from each side to get:

2/3x = 90/60

multiply each side by 3/2 to get:

x = 270/120

x = 27/12 or 2 1/4

Solve for 6(2+2) explain answer with reasoning

24

Step-by-step explanation:

Step 1:

6 ( 2 + 2 )

Step 2:

12 + 12

24

Hope This Helps :)

6(2+2)

first of all u add 2+2 =4 the 6 x 4 = 24

You guy have any song requests?

Never want to give you up

Step-by-step explanation:

Brainliest? pls

Famous Dex - Pick It Up (Lyrics) feat. A\$AP Rocky

My ordinary life

SoFaygo - Knock Knock

Streets

D !ck

A square is a figure with four sides of equal length and four right anglesa)conditional statement
b)postulate
c)definition
d)conjecture

The statement given in the statement is the definition of square.

### What is a square?

A square is closed, two-dimensional shape with 4 equal sides and all the internal angles are right angles.

### How to find which is the best statement?

• In the question it is given that A square is a figure with four sides of equal length and four right angles.

So this is nothing but the definition of square .

So the correct answer is definition

Find more about "Squares" here: brainly.com/question/25092270

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