The following data needs to be put into a stem-and-leaf plot.36.7, 38.1, 35.4, 37.4, 39.0, 33.6, 34.7, 36.9, 38.7, 35.5, 36.8, 3
Jobisdone [24]
The correct answer is choice 4.
With the numbers given, you should use the whole number as the stem and the decimal as the leaf.
The whole numbers are 33,34,35,36,37,38,39
They ran 1 and 5/6 miles. This is just under 2 miles, so no, they did not run 2 miles.
Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:
1. a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. a.) FH = 24
b.) JL = 74
c.) KJ = 60
d.) FJ = 30
4. a.) AE = 26
b.) AN = 58
c.) CT = 21.5
d.) Perimeter of ΔAEN = 127
5. x = 15
6. x = 6
<h3>What are Parallel lines?</h3>
Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.
<h3>The Triangle Midsegment Theorem</h3>
- A midsegment is a line that connects the midpoints of the two sides of a triangle together.
- Every triangle three midsegments.
- Based on the Midsegment Theorem of a triangle, the third side of a triangle is always parallel to the midsegment, and thus, the third side is twice the size of the midsegment. In order words, length of midsegment = ½(length of third side).
Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:
1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:
a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. The segment parallel to the given segments are:
a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. Given:
FG = 37; KL = 48; GH = 30
a.) FH = ½(KL)
FH = ½(48)
FH = 24
b.) JL = 2(FG)
JL = 2(37)
JL = 74
c.) KJ = 2(GH)
KJ = 2(30)
KJ = 60
d.) FJ = ½(KJ)
FJ = ½(60)
FJ = 30
4. Given:
PT = 13
EN = 43
CP = 29
a.) AE = 2(PT)
AE = 2(13)
AE = 26
b.) AN = 2(CP)
AN = 2(29)
AN = 58
c.) CT = ½(EN)
CT = ½(43)
CT = 21.5
d.) Perimeter of ΔAEN = EN + AN + AE
Perimeter of ΔAEN = 43 + 58 + 26
Perimeter of ΔAEN = 127
5. 10x + 44 = 2(8x - 23) (midsegment theorem)
10x + 44 = 16x - 46
10x - 16x = -44 - 46
-6x = -90
Divide both sides by -6
x = 15
6. 19x - 28 = 2(6x + 7) (midsegment theorem)
19x - 28 = 12x + 14
19x - 12x = 28 + 14
7x = 42
x = 6
Learn more about midsegment theorem on:
brainly.com/question/11482568
Answer:
c=31.9
Step-by-step explanation:
maybe C? sorry i’m not the best at this