Please see attached file for the triangle’s figure:
Going with the image attached, if DE is parallel to BC<span>
then
<span>4: (4 + 5) = 6 : (6 + 7).
Therefore, the inequality that she will use to contradict the assumption</span>
is 4:9 ≠ 6:13</span>.
To add, a relation that holds
between two values when they are different in mathematics is called an inequality. A is not equal to b also means the notation a ≠ b.
<span><span>
</span>Inequalities are governed by the following properties<span>:
Transitivity</span></span>
Converse
Addition and subtraction
Multiplication and division
Additive inverse
Multiplicative inverse
<span>Applying a function to both sides</span>
Answer:


Step-by-step explanation:
Given: The figure
Required: Find x and y
The relationship between length x, length 15 and angle 32 is as follows:

So, we have:

Cross multiply:



--- approximated
Similarly:
The relationship between length y, length 15 and angle 32 is as follows:

So, we have:

Cross Multiply:

Solve for y



--- approximated
Answer:
$30.50
Step-by-step explanation:
b = bagels
c = cream cheese
<u>Given</u>
b = 30
c = 2
<u>Work:</u>
0.85b+2.5c
0.85(30) + 2.5(2)
25.5 + 5
30.5
Answer:
the standard error of the proportion is 0.0272
Step-by-step explanation:
We have that if the sample size is greater than 5% of the entire population, a finite population correction factor (fpc) is multiplied with the standard error
:
fpc = 
We know that N = 250 n = 91, replacing:
fpc = 
fpc = 0.799
Now, the formula would then be:
SE =
*fpc
Now replacing, knowing that p = 0.12
SE=
*0.799
SE = 0.0272
So the standard error of the proportion is 0.0272
Answer: 38 over 49 can be written as 38/49. When divided, you will get 0.77551020408. It takes lots of regrouping, but it ends eventually.
If you are reducing it as a fraction, it is not possible because there is no other number to reduce it, so it will be in it's simplest form already.