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A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The

WARRIOR [948]

Answer:

The correct answer is 5.

Step-by-step explanation:

This is because if you divide 10 by 2 and -15 by 3

you get 5. Now to double check, you can do 10/5 and -15/5

This will give you 2, -3, which is the coordinates.

Hope this helps!

6 0

4 years ago

Read 2 more answers

Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. List the elements in the set: A

gtnhenbr [62]

Answer:

$A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}$

Step-by-step explanation:

Given: $\text{U}=\left \{\text{q, r, s, t, u, v, w, x, y, z} \right \}$ , $\text{A}=\left \{\text{q, s, u, w, y} \right \}$ , $\text{B}=\left \{\text{q, s, y, z} \right \}$ ,

$\text{C}=\left \{\text{v, w, x, y, z} \right \}$ .

To find: The elements in the set $A \cup C$ .

Solution:

We have,

$\text{U}=\left \{\text{q, r, s, t, u, v, w, x, y, z} \right \}$

$\text{A}=\left \{\text{q, s, u, w, y} \right \}$

$\text{B}=\left \{\text{q, s, y, z} \right \}$

$\text{C}=\left \{\text{v, w, x, y, z} \right \}$

Now, $A \cup C$ will contain all the elements in the set $A$ and all the elements in set $C$ .

So, $A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}$ .

Hence, $A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}$ .

7 0

3 years ago

Shelby is following a recipe to make punch for her party. the recipe calls for 5 cups of juice for every 2 cups of soda. how man

MatroZZZ [7]

Answer:

8 cups

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

It is known that for all tests administered last year, the distribution of scores was approximately normal with mean 74 and sta

Lunna [17]

Answer: 19.77%

Step-by-step explanation:

Given: Mean : $\mu=74$

Standard deviation : $\sigma = 7.1$

The formula to calculate z-score is given by :_

$z=\dfrac{x-\mu}{\sigma}$

For x= 80, we have

$z=\dfrac{80-74}{7.1}\approx0.85$

The P-value = $P(z>0.85)=1-P(z$

In percent , $0.1976626\times100=19.76626\%\approx19.77\%$

Hence, the approximate percentage of the test scores during the past year exceeded 80 =19.77%

6 0

3 years ago

17. For the parallelogram, find the value of the variables. Show your work. 5x + 2 3y - 6 21 17 24=3y-6 => 30=3y, y=10, 12 =

Dafna11 [192]

In this problem, you have already shown the solution.

24 = 3y - 6 => 30 = 3y, y =10

12 = 5x + 2 => 10 = 5x , x = 2

And yes, basically parallel sides must have the same length

These are the answers:

for 17.) x = 2
y = 10

for 18.) mid segment = (side 1 + side 2) / 2 -->
19 = (24 + side2) / 2 -->
38 = 24 + side2,

thus, side 2 = 14 units

3 0

3 years ago