Answer:
Height of the streetlight ≈ 8 ft(nearest foot)
Step-by-step explanation:
The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.
The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .
ab = 5.6 ft
The ratio of the base sides = 24/34
The ratio of the heights = 5.6/x
The two ratio are equal Therefore,
24/34 = 5.6/x
24x = 5.6 × 34
24x = 190.4
divide both side by 24
x = 190.4/24
x = 7.93333333333
x ≈ 8 ft
Height of the streetlight ≈ 8 ft(nearest foot)
Answer:
Properties of rhombus
. all the properties of a parallelogram( apply the ones that matter hair are parallel sides opposite angles congruent and consecutive angles are supplementary)
. all sides are congruent by definition
. the diagonals bisect the angles
. the diagonals are perpendicular bisectors of each other
Properties of rectangle
. all the properties of parallelogram apply (the ones that matter hair are parallel sides, opposite sides are congruent, and diagonals bisect each other)
. all angles are right angles by definition
. the diagonals are congruent
Properties of square
. all the properties of a rhombus apply( the ones that matter have a parallel sides diagonals are perpendicular bisector of each other and diagonals bisect the angles)
. All the properties of rectangle apply (the only one that matter where is diagonals are congruent)
. All angles are right angles by definition
Hope it will help you
Step-by-step explanation:
0.01 is the decimal number
Plug in 11 for x (given) inside the expression and solve
x + 4
11 + 4 = 15
15 is your answer
Hope this helps
Answer:
D for the first one and D for the second one.
Step-by-step explanation:
