8. What is the solution to the system? { x + y + z = 3 2x-y + 2z = 6 3x + 2y

Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D

Bezzdna [24]

Answer:

Triangles are similar using AAA rule of similarity.

Step-by-step explanation:

Let's take triangle ACD. Where <D =60 degrees. <A =74.9 degrees and let's find <C using angle sum property of a triangle.

Please remember the sum of interior angle of a triangle is 180 degrees.

So, m<D= 180-60-74.9 =45.1 degrees.

Other triangle RST has the two angles as 74.9 degrees and 45.1 degrees.

So, third angle <T= 180-74.9-45.1= 60 degrees.

If we see the angles of a triangle, both has same angle measures.

That's <A= <R

<C= <S

<D= <T

So, the triangles are similar using AAA rule of similarity.

5 0

2 years ago

Find the measure of ZB.

RoseWind [281]

The sum of the inside angles of a triangle, always sum up to 180 degrees. Using this information, we can create the following equation for this problem:

$(3x-2)\text{ +(6}x\text{+11)+(5}x\text{ +3) = 180}$

Adding up all terms with 'x' and adding the other together, we have the following equation:

$\begin{gathered} (3x+6x+5x)+(11+3-2)=180_{} \\ 14x+12=180 \\ 14x=180-12=168 \end{gathered}$

Solving this last equation for 'x', we have the following:

$\begin{gathered} 14x=168 \\ x=\frac{168}{14}=12 \end{gathered}$

Then, the final answer for the 'x' value is twelve!

6 0

6 months ago

5x + 7y = 17 x + 4y = 19

REY [17]

<h2>Answer:</h2>

5x + 7y = 17 ....(1)

x + 4y = 19 .....(2)

From equation 2

x + 4y = 19

x = 19 - 4y

Putting the value of x in Equation (1)

5(19 - 4y) + 7y = 17

95 - 20y + 7y = 17

- 20y + 7y = 17 - 95

-13y = -78

y = $\frac{78}{13}$

y = 6

Now, putting the value of y in equation (2)

x + 4y = 19

x + 4(6) = 19

x + 24 = 19

x = 19 - 24

x = -5

Therefore, the value of y is 6 and value of x is -5

5 0

2 years ago

At the end of January, Garrett had $176 in his

VikaD [51]

Answer:

bank account cant give me 5 bank name

4 0

2 years ago

Taylor surveys students in one grade level who own at least one pet. She finds that 50% of the students surveyed own 2 pets, 3 s

Llana [10]

First, we need to work out the total number of students who were being surveyed.

We know that half of the students has two pets. The rest of the students make up the other half. So, we have 3 students + 2 students + 8 students = 13 students that make half of the sample population

That means total number of students being surveyed is 13+13=26 students

Then we work out the probability
P(One pet) = 8/26 = 4/13
P(Two pets) = 1/2
P(Three pets) = 3/26
P( Four pets) = 2/26 = 1/13

The probability distribution is shown in the table below. Let $x$ be the number of pets and $P(X=x)$ is the probability of owning the number of pets

3 0

3 years ago

Read 2 more answers

8. What is the solution to the system? { x + y + z = 3 2x-y + 2z = 6 3x + 2y - Z=13