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My name is Ann [436]
3 years ago
8

The figure shows two intersecting lines and measures of the resulting angles write an equation to help you solve for x , then fi

ne the value of x.

Mathematics
1 answer:
ehidna [41]3 years ago
6 0

<u>Given</u>:

Given that two lines are intersecting at the point.

The angles (3x - 8)° and (2x + 12)° are the angles formed by the intersection of the two lines.

We need to determine the equation to solve for x and the value of x.

<u>Equation:</u>

The two angles (3x - 8)° and (2x + 12)° are vertically opposite. Hence, the vertically opposite angles are always equal.

Hence, we have;

3x-8=2x+12

Hence, the equation is 3x-8=2x+12

<u>Value of x:</u>

The value of x can be determined by solving the equation 3x-8=2x+12

Thus, we have;

3x-8=2x+12

Subtracting both sides of the equation by 2x, we get;

x-8=12

Adding both sides of the equation by 8, we get;

x=20

Thus, the value of x is 20.

Hence, the equation and the value of x are 3 x-8=2 x+12 \ and\  x=20

Thus, Option D is the correct answer.

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PLEASE HELP, I'LL GIVE U BRAINLY
Helen [10]

Answer:

im not sure but i think its D

6 0
2 years ago
Sinx/4=1/2<br>find the solution
Murrr4er [49]
Sin (x/4) = 1/2
x/4 = sin⁻¹ 1/2
x/4 = 45
x = 45*4
x = 180

So, your final answer is 180

Hope this helps!
7 0
3 years ago
If f(x)=7x+4x and g(x) =1/2x what is the value of (f/g)(5)
Aliun [14]

Answer:

(f/g)(5) = 22

Step-by-step explanation:

All we need to do is plug in 5 for x in both f(x) and g(x) then divide the result of f(x) and g(x) to find our final answer.

Step 1: Plug in 5 for x

f(x) = 7(5) + 4(5) = 55

g(x) = 1/2(5) = 2.5

Step 2: Divide f(x) by g(x)

f(5)/g(5) = 55/2.5 = 22

And we have our final answer!

4 0
3 years ago
The sum of the ages of three brothers Tema,Juma and Abdul is 65 years. Juma is twice as old as Abdul and a half times as old as
Ber [7]

Answer:

Tema = 26 years

Juma = 13 years

Abdul = 26 years

Step-by-step explanation:

Let their ages be represented as:

Tema = x

Juma = y

Abdul = z

From the question, we are told that:

Juma is twice as old as Abdul

y = 2z

z = y/2

= 0.5y

And Juma is a half times as old as Tema.

y = 1/2x

y = 0.5x

x = y/0.5

x = 2y

Hence,

x + y + z = 65

2y + y + 2y = 65

= 5y = 65

y = 65/5

y = 13 years

Since y = Zuma's age, Zuma is 13 years old

From the above question

Since 2y = z

y = 13

2 × 13 = z

z = 26

Since z = Abdul's age, Abdul is 26 years old

From the above question

x = 2y

y = 13 years

x = 2 × 13 years

x = 26 years.

Since x = Tema's age

Tema is 26 years.

Therefore, their present ages are:

Tema = 26 years

Juma = 13 years

Abdul = 26 years

7 0
2 years ago
What is 4x+3x? Write solution.
Sliva [168]

Answer:

7x

Step-by-step explanation:

4x ( linear function) + 3x ( linear function) = 7x

3 0
2 years ago
Read 2 more answers
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