Answer:
Height of the building = 77 ft.
Step-by-step explanation:
Let the height of the building (AB) = h feet
It's given that height of a woman (ED) = 5 feet 3 inches
≈ 5 feet +
ft
≈ 5.25 ft
Length of the shadow (BC) of the building = 55 ft
Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft
Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.
By the property of similar triangles,


h = 
h = 77 ft
Therefore, height of the building will be 77 ft.
The x value will be 109°. The straight line formed a 180° angle. Solving the equation yields the angle.
<h3>What are supplementary angles?</h3>
Supplementary angles are two angels whose sum is 180°. When a straight line intersects a line, two angles form on each of the sides of the considered straight line.
Those two-two angles are supplementary angles in two pairs. That is, if two supplementary angles are adjacent to each other, their exterior sides form a straight line.
The straight line formed a 180° angle. The resulting equation is as follows:
⇒x+42°+29°=180°
⇒x=109°
Hence, the value of the x will be 109°
The complete question is:
AB is a straight line.
Work out the size of angle x.
Not drawn accurately
42°
Х
29°
А
B
To learn more about supplementary angles, refer to:
brainly.com/question/12919120
#SPJ1
Answer:
Step-by-step explanation:
given that on a six-question multiple-choice test there are five possible answers for each question, of which one is correct and four are incorrect
By mere guessing probability for choosing correct answer = p = 0.2
also each question is independent of the other
Hence if X is the number of correct questions then
X is binomial with p = 0.2 and n = 6
a) being correct on three questions,
=
(b) being correct on four questions,
= 
(c) being correct on all six questions
=
Answer:
k ≥ -18
Step-by-step explanation:
