All categories

3 months ago

Use the following isosceles triangle to find valur of x and the length of ac.

1 answer:

3 0

Given that the triangle is isosceles, we can say that AB = AC. Using the given expressions we can form the following equation.

$\begin{gathered} AB=AC \\ 5x+8=7x-6 \end{gathered}$

Let's solve for x.

$\begin{gathered} 8+6=7x-5x \\ 14=2x \\ x=\frac{14}{2} \\ x=7 \end{gathered}$

Once we have the value of the variable, we can find the length of AC.

$\begin{gathered} AC=7x-6 \\ AC=7(7)-6 \\ AC=49-6 \\ AC=43 \end{gathered}$ <h2>Therefore, the length of AC is 43.</h2>

You might be interested in

Solve the equation 8 + b = 26 and b=

Pavel [41]

B=26-8
so the answer is b=18

6 0

2 years ago

Read 2 more answers

In a series RL circuit, ET = 120 V, R = 40 Ω, and XL = 30 Ω. How much is EL?

dezoksy [38]

Firstly, we will draw

RL series circuit

ET = 120 V, R = 40 Ω, and XL = 30 Ω

Firstly, we will find current

$I=\frac{E_T}{R+jX_L}$

now, we can plug values

and we get

$I=\frac{120}{40+j30}$

now, we can find voltage across L

$E_L=IjX_L$

so, we get

$E_L=\frac{120}{40+j30}(j30)$

now, we can find absolute value

$|E_L|=120\frac{30}{\sqrt{40^2+30^2} }$

$|E_L|=120\frac{30}{ 50 }$

$|E_L|=120\frac{3}{ 5 }$

$|E_L|=72V$ ...............Answer

7 0

2 years ago

You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T

velikii [3]

All functions have an inverse expression.

The cost function is: $\mathbf{C(x) = 40000 + 100x}$ .
The inverse function is: $\mathbf{C'(x) = 0.01x - 400 }$

From the question, we have the following observations:

Base fare = 50000 pesos for first 100
Additional guest = 100 pesos

So, the cost function would be:

$\mathbf{C(x) = 50000 + (x - 100) \times 100}$

Where: x represents the number of guests, and C(x) represents the cost function

Expand

$\mathbf{C(x) = 50000 + 100x - 10000}$

Evaluate like terms

$\mathbf{C(x) = 40000 + 100x}$

To calculate the inverse function, we have:

$\mathbf{C(x) = 40000 + 100x}$

Replace C(x) with y

$\mathbf{y = 40000 + 100x}$

Swap x and y

$\mathbf{x = 40000 + 100y}$

Subtract 40000 from both sides

$\mathbf{x - 40000 = 100y}$

Divide both sides by 100

$\mathbf{\frac{x - 40000}{100} = y}$

Rewrite as:

$\mathbf{y= \frac{x - 40000}{100} }$

Split

$\mathbf{y= \frac{x}{100} - \frac{40000}{100} }$

$\mathbf{y= 0.01x - 400 }$

Hence, the inverse function is: $\mathbf{C'(x) = 0.01x - 400 }$

Read more about functions and inverse at:

brainly.com/question/10300045

3 0

2 years ago

Guys plss help me I need it rn plss

OLga [1]

Answer:

First statement: Angles 1 and 3 are vertical angles.

First reason: Definition of supplementary

Second Reason: Vertical angles are congruent

Third Reason: Vertical Angles Theorem

Step-by-step explanation:

Hope this helps: Angles that form an X- Type figure are congruent.

6 0

2 years ago

Sapphire and Abe are shelving books at a public library. Sapphire shelves 5 books at a time, where as Abe shelves 6 at a time. I

Crank

The answer is 30 because 5×6=30 and 6×5=30.So the smallest number of books each could have shelved is 30 books...

7 0

2 years ago

Read 2 more answers