Answer:
x = 15
x = 15
The answers should be the same because the triangles are similar. The ratio of the sides are in the same proportion.
Step-by-step explanation:
a. x 12
------- = --------------
20 16
using cross products
x*16 = 20 * 12
16x = 240
divide by 16 on each side
16x/16 = 240/16
x = 15
b x 6
------- = --------------
20 8
using cross products
x * 8 = 6 * 20
8x = 120
divide each side by 8
8x/8 = 120/8
x = 15
c. The answers should be the same because the triangles are similar. The ratio of the sides are in the same proportion.
Answer:
See explanation below.
Step-by-step explanation:
For this case we define first some notation:
A= A new training program will increase customer satisfaction ratings
B= The training program can be kept within the original budget allocation
And for these two events we have defined the following probabilities
We are assuming that the two events are independent so then we have the following propert:
And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:
And using the De Morgan laws we know that:
So then we can write the probability like this:
And using the complement rule we can do this:
Since A and B are independent we have:
And then our final answer would be:
Answer:
if a=b and b=c, then a=c
Step-by-step explanation:
Basically the transitive property states that is a number, a, equals another number, b, a = b, and the other number, b, equals a different number, c, b = c, then technically since a and b are equal, and b and c are equal, a could also equal c, a = c.
Answer: 6km
Reason: The area of a rectangle is length times width equals area so to find length from with in the area you divide area by height. 24/4=6
Answer:
"All the powers have a value of 1 because the exponent is 0"
Step-by-step explanation:
To answer this, we need to recall the property that "ANYTHING to the power 0 is ALWAYS equal to 1" (except 0^0).
Here, we see that the base of all of the 4 choices are integers (and NOT ZERO) and all of them are raised to 0th power. So all of them are EQUAL TO 1.
Hence, the correct answer is "All the powers have a value of 1 because the exponent is 0"
