The midpoints of the sides of the trapezoid are:
M ( - 1 , 1 ), N ( 1, - 1 ), P ( 3, 1 ), Q ( 1, 3 ).
MN = NP = PQ = QM = √ ( 2² + 2² ) = √ 8 = 2√2
∠MNP = ∠NPQ = ∠PQM = ∠QMN = 90°
Answer:
The quadrilateral formed by joining the midpoints of the sides of the trapezoid is a square.
Answer: 108
Step-by-step explanation:
Answer:
4x^2 -8
Step-by-step explanation:
f(x)=3x^2-9
g(x)=x^2+1
(f+g)(x)=3x^2-9 +x^2+1
Combine like terms
= 4x^2 -8
Answer:
The box-and-whisker plot for the given question is as shown at the attached figure.
Minimum = 11
Lower quartile = Q1 = 12
Median = Q2 = 23.5
Upper quartile = Q3 = 27
Maximum = 33
<u>So, according to the given data and the figure:</u>
- The box will go from <u>12 to 27</u> ⇒ Q1 to Q3
- A line dividing the box will go at <u>23.5</u> ⇒ Q2
- The left whisker will go from <u>11 to 12</u> ⇒ Minimum to Q1
- The right whisker will go from to <u>27 to 33</u> ⇒ Q2 to Maximum
The biggest is hm that is because it matters