ARST was translated, then dilated, to create AZXY
Answer:
9604
Step-by-step explanation:
V = (7/3)³ × 756
= 343/27 × 756
= 9604 ft³
9514 1404 393
Answer:
Step-by-step explanation:
To find the scale factor from ΔDEF to ΔRST, find a measure on ΔDEF and a corresponding measure on ΔRST, then write them in the form required for the scale factor.
Here, there are numbers on DE, RS, and ST. We see by the similarity statement ΔDEF ~ ΔRST that DE corresponds to RS, so the scale factor is ...
ΔDEF : ΔRST = DE : RS = 3 : 4 . . . scale factor
__
Using that scale factor, you can write a proportion to find the value of x.
3 : 4 = x : 16 ⇒ 3/4 = x/16
Multiplying the fraction equation by 16, we have ...
x = 16(3/4)
x = 12
Answer:
1. one orange x tile
2. five blue - tiles
3. x-5
Step-by-step explanation:
Answer:
a) two
b) S = {Orange, Purple}
c) 50%
d) 50%
Step-by-step explanation:
a)
When a marble is drawn from the jar, there are <u>two</u> possible outcomes. Either the marble will be orange or it will be purple.
b)
A sample space is a set of all possible outcomes of an event. Thus, the sample space in this case will be:
<u>Sample Space = {Orange, Purple}</u>
c)
The probability of an event is given as the number of favorable outcomes divided by the number of total outcomes.
Therefore,
Probability of selecting orange marble = P(Orange) = 1/2
<u>P(Orange) = 0.5 = 50%</u>
d)
Probability of selecting purple marble = P(Orange) = 1/2
<u>P(purple) = 0.5 = 50%</u>
