Answer:
The midpoint of TS is (-1,-3)
The coordinates of M should be (8,18)
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable
x
x
.
x
=
41
Both the negative and positive counterparts of a number have the same absolute value, or distance from 0.
The two numbers are 16 and -16.
They both have the same absolute value, 16.
The length of a segment is the distance between its endpoints.

- AB and CD are not congruent
- AB does not bisect CD
- CD does not bisect AB
<u>(a) Length of AB</u>
We have:


The length of AB is calculated using the following distance formula

So, we have:


Simplify

<u>(b) Are AB and CD congruent</u>
First, we calculate the length of CD using:

Where:


So, we have:



By comparison

Hence, AB and CD are not congruent
<u>(c) AB bisects CD or not?</u>
If AB bisects CD, then:

The above equation is not true, because:

Hence, AB does not bisect CD
<u>(d) CD bisects AB or not?</u>
If CD bisects AB, then:

The above equation is not true, because:

Hence, CD does not bisect AB
Read more about lengths and bisections at:
brainly.com/question/20837270
Answer:
2. 92 ounces of Sprite
3. 1/6 do not want mustard on their ham sandwiches
4. 6 hours playing volleyball
5. 32 portions
Step-by-step explanation:
2. Sam has 8 cans of Sprite. Each can is 11 2/4 ounces
We can simplify 2/4 to 1/2
Multiply the number of cans by the ounces per can
8 * 11 1/2
8 * 11.5
92 ounces
3. 1/2 of the students want ham. 1/3 of those do not want mustard
We multiply 1/2*1/3 = 1/6
1/6 of the students do not want mustard on their ham sandwiches
4. 8 hours at the beach. 3/4 of the time was spent playing volleyball
Multiply this together
8*3/4 = 8/4*3 = 2*3 = 6 hours
5. We have 4 lbs of wings. We divide it into 1/8 lbs parts
4 ÷ 1/8
Copy dot flip
4 * 8/1
32 portions