Answer:
1. The correct options are 2 and 4.
2. The measure of angle 6 is 60°.
Step-by-step explanation:
1.
It is given that a∥b , and c is not parallel to a or b. So, we can not establish any relationship among the angles on the line a,b and angles on the line c.
If a traversal line intersect two parallel line, then corresponding angles, alternate exterior angle and alternate interior angles are equal.
Therefore correct options are 2 and 4.
2.
It is given that AB∥CD and m∠3=120°.
Statements Reasons
m∥nm∠1=120° Given
∠5≅∠1 Corresponding angles are equal
m∠5=m∠1 Angle Congruence Postulate
m∠5=120° Substitution Property of Equality
m∠6+m∠5=180° Supplementary angle property
m∠6+120°=180° Substitution Property of Equality
m∠6=60° Subtraction Property of Equality
Therefore the measure of angle 6 is 60°.
Answer:
The median number of miles that Sam drove during those months is 1044 miles
Step-by-step explanation:
The median separates the upper half from the lower half of a set. So 50% of the values in a data set lie at or below the median, and 50% lie at or above the median.
For a set of n values
First we order the values in an increasing way.
If n is odd, the median is the value at the position (n+1)/2
If n is even, the median is the average of the values at the positions n/2 and (n/2) + 1
In this problem:
6 values
Ordered in an increasing way:
880, 997, 1002, 1086, 1534, 1637
6 is an even value.
6/2 = 3. The third element is 1002
6/2 + 1 = 4. The fourth element is 1086.
Average: (1002 + 1086)/2 = 1044
The median number of miles that Sam drove during those months is 1044 miles
Answer:
Step-by-step explanation:
b.
an=an-1+3
C.
when x=15
y=3×15-2=45-2=43
a15=43
The polynomial remainder theorem allows us to calculate the remainder when a polynomial is divided by a linear polynomial:
The remainder of f(x) divided by (x-k) equals f(k).
Thus
f(x)=x^3+3x^2-10x-4 divided by x-3
gives a remainder of
f(3)=27+3(9)-10(3)-4=27+27-30-4=20
Therefore the remainder required is 20.
The area of a triangle is 1/2bh, which means The second choice is correct :)
Hope this helps!!
