Answer:
Parallelogram Theorem #1 Converse
Step-by-step explanation: : If each of the diagonals of a quadrilateral divide the quadrilateral into two congruent triangles, then the quadrilateral is a parallelogram. Parallelogram Theorem #2 Converse: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Explanation:
There are many versions of the taxonomy diagram for quadrilaterals. The details depend on the particulars of the definitions you use. Here, we'll say a parallelogram is a subset of trapezoids. Not all authors would agree.
(2) kite -- two pairs of adjacent same-length sides
(3) trapezoid -- (at least one) pair of parallel opposite sides
(4) parallelogram -- opposite sides are parallel
(5) rhombus -- all sides the same length (and opposite sides parallel)
(6) rectangle -- parallel opposite sides and right angles
(7) square -- same-length parallel opposite sides and right angles
<em>The answer is Ms Hernandez can bring up to 6 people to the zoo.</em>
<em />
<em>x - the number of people that she can bring to the zoo</em>
<em>The parking will cost $7: a = 7</em>
<em>Admission tickets will cost $15.50 per person: b = 15.50x</em>
<em>She can spend on parking and admission tickets $100:</em>
a + b ≤ 100
a = 7
b = 15.50x
7 + 15.50x ≤ 100
15.50x ≤ 100 - 7
15.50x ≤ 93
x ≤ 93 / 15.50
x ≤ 6
Answer:
By long division (x³ + 7·x² + 12·x + 6) ÷ (x + 1) gives the expression;
Step-by-step explanation:
The polynomial that is to be divided by long division is x³ + 7·x² + 12·x + 6
The polynomial that divides the given polynomial is x + 1
Therefore, we have;
(x³ + 7·x² + 12·x + 6) ÷ (x + 1) = x² + 5·x + 7 Remainder -1
Expressing the result in the form 
, we have;
