Question

In a Triangle XYZ, side XY is congruent to YZ. If ≤ X=4x+60, < Y=2X+30 and < Z=14x + 30, find the measurements of the angle X, Y and Z.

244

likes

1222 views

Answer to a math question In a Triangle XYZ, side XY is congruent to YZ. If ≤ X=4x+60, < Y=2X+30 and < Z=14x + 30, find the measurements of the angle X, Y and Z.

$Expert avatar$

Eliseo

4.6

107 Answers

la suma de los tres angulos de un triangulo es 180 grados (4x + 60) + (2x + 30) + (14x + 30) = 180 => 20x + 120 = 180 => 20x = 60 => x = 3 Los ángulos son los siguientes: ángulo X = 4x + 60 = (4x3) + 60 = 72 grados ángulo Y = 2x + 30 = (2x3) + 30 = 36 grados ángulo Z = 14x + 30 = (14x3) + 30 = 72 grados

Frequently asked questions (FAQs)

What is the range of the cube root function: f(x) = ∛x, where x can be any real number?

Math question: Determine the equation of a linear graph passing through points (2, 5) and (4, 11).

What is the variance of the dataset: {2, 5, 8, 11, 14}?

New questions in Mathematics

Evaluate limx→∞tan−1(x) using that y=tan−1(x) exactly when x=tan(y) . (Hint: Both tan and tan−1 are continuous!)

Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]

We have spent 1/4 of the inheritance on taxes and 3/5 of the rest on buying a house. If the inheritance was a total of €150,000 How much money do we have left?

Calculate the boiling temperature and freezing temperature at 1 atmosphere pressure of a solution formed by dissolving 123 grams of ferrous oxide in 1.890 grams of HCl.

User Before the election, a poll of 60 voters found the proportion who support the Green candidate to be 25%. Calculate the 90% confidence interval for the population parameter. (Give your answers as a PERCENTAGE rounded to TWO DECIMAL PLACES: exclude any trailing zeros and DO NOT INSERT THE % SIGN) Give the lower limit of the 90% confidence interval Give the upper limit of the 90% confidence interval

Equine infectious anemia (EIA) is considered the main infectious disease in Brazilian equine farming, for which there is no effective vaccine or treatment. It is caused by a retrovirus of the genus Lentivirus, which affects horses, donkeys and mules and is transmitted in nature mainly by hematophagous insects of the genus Tabanidae. Researchers analyzed the records of 9,439 equids from Acre, submitted to the agar gel immunodiffusion test (AGID) for equine infectious anemia (EIA), between 1986 and 1996. Of these, 6199 tested positive for equine infectious anemia (EIA) . Knowing that the age of AIE-positive horses follows a Normal distribution with a mean of 5 years and a standard deviation of 1.5 years, determine the expected number of AIE-positive horses in the Acre sample that will be aged less than or equal to 3 years. ATTENTION: Provide the answer to exactly FOUR decimal places.

In a laboratory test, it was found that a certain culture of bacteria develops in a favorable environment, doubling its population every 2 hours. The test started with a population of 100 bacteria. After six hours, it is estimated that the number of bacteria will be: