All categories

2 years ago

8.

Mathematics

2 answers:

yaroslaw [1]2 years ago

8 0

Center c and a scale factor of 2

zlopas [31]2 years ago

4 0

Answer: C) center C and scale factor 2

Step-by-step explanation:

Since, The center of a dilation is a fixed point in the plane about which all points are expanded or contracted.

Therefore, By the given diagram we can say that the image is dilated along the point C.

⇒ C is the center of the dilation.

Since, for the given diagram the scale factor of dilation = $\frac{C'A'}{CA}$ = $\frac{10}{5} = 2$

Thus, the scale factor is 2.

Therefore, Option C is correct.

You might be interested in

A group of freshmen at a local university consider joining the equestrian team. Thirty‑five percent of students choose Western r

lesantik [10]

Answer:

a) Option D) 0.75

b) Option D) 0.3

Step-by-step explanation:

We are given the following in the question:

Percentage of students who choose Western riding = 35%

$P(w) = 0.35$

Percentage of students who choose dressage= 45%

$P(d) = 0.45$

Percentage of students who choose jumping = 50%

$P(j) = 0.50$

Percentage of students who choose both dressage and jumping = 20%

$P(d \cap j) = 0.20$

Percentage of students who choose Western and dressage = 10%

$P(w \cap d) = 0.10$

Percentage of students who choose Western and jumping = 0%

$P(w \cap j) = 0$

Thus, we can say

$P(w \cap j \cap d) = 0$

Formula:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

a) P(student chooses dressage or jumping)

$P(d \cup j) = P(d) + P(j) -p(d \cap j)\\= 0.45 + 0.50-0.20 = 0.75$

b) P(student chooses neither dressage nor Western riding)

$= 1 - P(d \cup w)\\= 1 - (P(d) + P(w) - P(d \cap w))\\= 1 - (0.45 + 0.35 - 0.10)= 0.3$

5 0

3 years ago

Cuántos dólares se necesitan para comprar Venezuela pregunta seria

Nata [24]

Answer:

About $150 billion US dollars to buy Venezuela

Step-by-step explanation:

It's a big place

3 0

2 years ago

Dalls needs 1/4 liter of milk of a recipe is 3/10 of a liter of milk left in the carton.

dolphi86 [110]

Answer:

B)1/20 of a liter

Step-by-step explanation:

1/4 = 5/20

3/10 = 6/20

6/20 - 5/20 = 1/20

Wow.. that was easy XD

5 0

2 years ago

denny can deliver 6 papers every 15 minutes and brendan can deliver 5 papers in that same amount of time. how many papers can th

Evgesh-ka [11]

So for this problem you know that 15 is 1/4 of an hour so to get the amount of papers each individual could deliver by themselves in an hour you would multiply the amount they can deliver in 15 minutes by 4. Denny delivers 6 so multiplying that by 4 is 24. Next Brendan delivers 5 in 15 minutes so multiplying that by 4 you get 20. The final step is to add 20 and 24 to get the total amount of papers between the two of them that gets delivered in an hour. This will result in your answer of 44.

7 0

3 years ago

Read 2 more answers

7 + 2y = 8x 3x - 2y = 0 Solve the system of equations by substitution. (70/3, 140/9) (7/5, 21/10) no solution coincident

Wittaler [7]

So we have the system of equations:
$7+2y=8x$ equation (1)
$3x-2y=0$ equation (2)

To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for $x$ in equation (2):
$3x-2y=0$
$3x=2y$
$x= \frac{2}{3}y$ equation (3)

Replacing equation (3) in equation (1):
$7+2y=8x$
$7+2y=8( \frac{2}{3} y)$
$7+2y= \frac{16}{3} y$
$7= \frac{10}{3} y$
$y= \frac{7}{ \frac{10}{3} }$
$y= \frac{21}{10}$ equation (4)

Replacing equation (4) in equation (3):
$x= \frac{2}{3}y$
$x=( \frac{2}{3} )( \frac{21}{10} )$
$x= \frac{7}{5}$

We can conclude that the solution of our system of equations is <span>(7/5, 21/10)</span>

5 0

2 years ago