Questions: Determina el valor de la variable "x" y los ángulos solicitados. La recta M es paralela al lado AB del triángulo ACB

Determina el valor de la variable "x" y los ángulos solicitados. La recta M es paralela al lado AB del triángulo ACB
Transcript text: Determina el valor de la variable "$x$" y los ángulos solicitados. La recta $M$ es paralela al lado $A B$ del triángulo $A C B$
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the given angles and relationships in the first problem

In the first problem, we have a triangle with angles at points A, B, and C. The angle at C is given as 80°, the angle at A is given as \(2x - 10\)°, and the angle at B is given as \(x\)°.

Step 2: Use the triangle angle sum property

The sum of the angles in a triangle is always 180°. Therefore, we can write the equation: \[ (2x - 10) + x + 80 = 180 \]

Step 3: Simplify the equation and solve for \(x\)

Combine like terms: \[ 3x + 70 = 180 \] Subtract 70 from both sides: \[ 3x = 110 \] Divide by 3: \[ x = \frac{110}{3} \approx 36.67 \]

Final Answer

The value of \(x\) is approximately 36.67°.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A credit card company determines a card holder's minimum monthly payment by adding all new interest to 1.5% of the outstanding principal. The credit card company charges an interest rate of 0.05545% per day. On November 10, a customer used his credit card to pay for the following business expenses: van repairs (996), equipment maintenance (487), office supplies (72), and dinner with clients (155). Use the given information and the rule that minimum payments are rounded up to the nearest dollar to answer parts a and b below. a. Assuming the card holder had no new interest, determine his minimum payment due on December 1, his billing date. The card holder's minimum payment due on December 1 is square.
failedAnswered
Select the graph of the given inequality. x > -9 Choose the correct answer below. A. B. C. D.
failedAnswered
A shop sells bags of marbles. Each bag contains to marbles. Write an expression for the total number of marbles in 5 of these bags.
failedAnswered
Researchers often take information gained from a small sample in order to determine how their treatment may affect the entire population.
failedAnswered
Suppose you put 1000 in a savings account that offers a 2% annual interest rate. What will be the future value exactly 10 years later? (Round your answer to the nearest dollar)