Answer:
2/3
Step-by-step explanation:
The first place finishers can be divided into two groups: those who went to Ohio State, and those who did not attend Ohio State.
2/5 of the first place finishers went to Ohio State. 1/2 of these were women, which means 1/2 were men. The fraction of first place finishers who went to Ohio State AND were men is:
1/2 (2/5) = 1/5
3/5 of the first place finishers did not attend Ohio State. 2/9 of these were women, which means 7/9 were men. The fraction of first place finishers who did not attend Ohio State AND were men is:
7/9 (3/5) = 7/15
So the fraction of first place finishers who were men is:
1/5 + 7/15
= 3/15 + 7/15
= 10/15
= 2/3
Step-by-step explanation:
Area of a parallelogram = H * B
Where ;H = height and B = 7
From the question our height = 10m and base = 7m
<h3>placing in formula</h3>
H * B
= 10m * 7m
=70m²
Therefore the area of the parallelogram is 70m²
Answer:
The two column proof is presented as follows;
Statement
Reason
ΔSCW ≅ ΔTUW
Given
≅
<em><u>CPCTC</u></em>
≅
CPCTC
≅
<u><em>CPCTC</em></u>
∠SVW ≅ ∠TUW
CPCTC
SU = SW + UV
Additive property of Length
TU = TW + VW
Additive property of Length
SU = TW + VW
Substitution
SU = TV
Transitive property
ΔSTV ≅ ΔTSU
SAS
∠TSV ≅ ∠STU
CPCTC
Step-by-step explanation:
The two column proof is presented as follows;
Statement
Reason
ΔSCW ≅ ΔTUW
Given
≅
<u><em>Congruent Parts of Congruent Triangles are Congruent</em></u>
≅
Congruent Parts of Congruent Triangles are Congruent
≅
<u><em>Congruent Parts of Congruent Triangles are Congruent</em></u>
∠SVW ≅ ∠TUW
<em>Congruent Parts of Congruent Triangles are Congruent</em>
SU = SW + UV
Additive property of Length
TU = TW + VW
Additive property of Length
SU = TW + VW
Substitution
SU = TV
Transitive property
ΔSTV ≅ ΔTSU
Side-Angle-Side rule of congruency
∠TSV ≅ ∠STU
Congruent Parts of Congruent Triangles are Congruent
Answer:
3 people
Step-by-step explanation:
Reading a stem & leaf plot can be hard!
Remember in the middle or whichever side is single digits divided by the line is your tens place values.
The 2 has two values on the other side, giving us 23 & 29 laps.
The 1 has one value on the other side, giving us 11 laps.
The 0 has no other value, so there is no data for that row.
There were 3 data points below 30, & these were 11, 23, & 29.
Hope this helped. :)