Find the value of x on this triangle

Mathematics

1 answer:

blondinia [14]3 years ago

6 0

Look at the picture.

ΔABD and ΔBCD are similar, therefore:

$\dfrac{y}{5}=\dfrac{11}{y}\ \ \ |\cross\ multiply\\\\y^2=55\to y=\sqrt{55}$

Use Pythagorean theorem:

$x^2=5^2+(\sqrt{55})^2\\\\x^2=25+55\\\\x^2=80\to x=\sqrt{80}\\\\x=\sqrt{16\cdot5}\\\\x=\sqrt{16}\cdot\sqrt5\\\\\boxed{x=4\sqrt5}$

You might be interested in

Find the LCM of these numbers: 18, 27

Nastasia [14]

The answer is 54 hope this helps

4 0

3 years ago

Using the same data set, four models are estimated using the same response variable, however, the number of explanatory variable

kirill [66]

Answer:

Model A

Step-by-step explanation:

Given the table :

___________M 1 ____ M 2 ____ M 3 ____M 4

Multiple R _ 0.993 ___ 0.991 ___0.936__ 0.746

R Square __0.987___ 0.982 ___0.877 __0.557

Adj R² ____ 0.982___ 0.978 __ 0.849 ___0.513

S E_______ 4,043 __ 4,463 ___11,615 __20,878 Observations_ 12 _____ 12 _____ 12 ____12

Based on the detains of the model given, we could use the R value, R² and standard error values to evaluate the performance of the different models.

The best model will be one with Correlation Coefficient (R value) closet to 1. The model with the highest R value will also have the highest Coefficient of determination, R² value. The a best model is one which has a low a standard error value.

From the table, Model A has the highest R and R² values. It also has the lowest standard error value. Hence, we can conclude that model A provides the best fit.

8 0

3 years ago

Tyler went to the State spelling bee. His school gave him $50 for travel and $30 A day for his meals. Tyler was given a total of

neonofarm [45]

A and B are the correct answers.

Hope this helps.
❤️

7 0

3 years ago

2. On Monday, I bought 3 dogs and 5 cats for a total cost of $8.25. On Tuesday, I bought 3 dogs and 6 cats for a total cost of $

Ratling [72]

I don’t know if you need to round, but you can do so on the answer for mondays if necessary

On Monday, the animals cost $1.03125.
On Tuesday, the animals cost exactly $1.

7 0

3 years ago

A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each que

Assoli18 [71]

Answer:

Q1) The student has a 0.01% probability of passing the test.

Q2) She has a 99.91% probability of passing in the test.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he gets it correct, or he gets it wrong. So we solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$