The shape that best describes forest park is parallelogram. The correct answer is Option C).
<u>Step-by-step explanation</u>:
<u><em>step 1</em></u><em> :</em>
The two streets Oak and Maple are parallel.
The two streets Jefferson and Washington are parallel.
<u><em>step 2</em></u><em> :</em>
These parallel lines are intersecting each other.
<em>The properties of intersection of parallel lines:</em>
- In the figure the lines are not shown as right angle, so they are not perpendicular (angle ≠ 90° and the lines have same slope)
- The alternate interior angles are equal.
<u><em>step 3</em></u><em> :</em>
<em>The properties of parallelogram are:</em>
- Opposite sides are parallel with same slopes.
- Opposite angles are congruent (same).
<u><em>step 4</em></u><em> :</em>
- The parallel lines of the streets make the opposite sides of the parallelogram.
- The interior angles of parallel lines are the opposite angles of the parallelogram.
Thus, the shape forest park best describes parallelogram.
answer
the number of buses is 3
the number of cars is 6
Step-by-step explanation:
total number of the students=165
total number of the vehicles=9
let x represent the number of cars
let y represent the number of buses
x+y=9...........equation 1
(the number of the cars plus the number of the buses= to the number of vehicles )
5x + 45y=165.......equation 2
(the number of student the car can hold plus the number of student the bus can hold= to the total number of the student in a class)
x+y=9.......eqn 1
5x +45y=165....eqn 2
make x the subject of the formula in eqn 1
x+y=9
x= 9-y
substitute for x= 9-y in eqn 2
5(9-y)+45y=165
45-5y+45y=165
-5y+45y=165-45
40y=120
divide both sides by 40
40y÷40=120÷40
y=3
since y represent number of buses,the numbet of bus is 3
Also,substitute for y=3 in eqn 1
eqn 1 is x+y=9
x+3=9
x=9-3
x=6
therefore,the number of cars is 6.
9. √105 is irrational (105 is not the square of an integer) Its value is near +10.
-4 is an integer (and rational)
4/3 is a rational number
Smallest to largest, these are -4, 4/3, √105.
10. The nearest square less than 14 is 9 = 3×3. The nearest square greater than 14 is 16 = 4×4. 14 is closer to 16 than to 9, so we expect 4 to be the integer closest to its square root. (√14 ≈ 3.74, closer to 4 than to 3.)
11. The numbers are in the same order; only the location of parentheses has changed. The property that lets you do that with addition is the associative property.
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