Answer:
25 = 1/2(3 + 7)h
5 feets
Step-by-step explanation:
Given that:
Window shaped in the form of a trapezium :
The length of its bases :
Top of window base = 3 feets
Bottom of window base = 7 feets long
Area of Windom = 25 feets²
Recall :
Area of a trapezium is given by :
Area, A = 1/2(a + b)h
a and b are the bases
h = height
Inputting the Given values into the equation :
25 = 1/2(3 + 7)h
Hence, the height of the window can be Obtian using the expression
25 = 1/2(3 + 7)h
25 = 1/2(10)h
25 = 5h
h = 25 /5
h = 5 feets
Answer:
(4, -2)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h)
for a line with slope m through point (h, k).
Comparing this to the equation you're given, you can see that the point that was used is (h, k) = (4, -2).
_____
You can find other points on the line, but this one is the easiest to find, since it can be read directly from the equation.
wheres the picture
Step-by-step explanation:
It's given in the question,
P, Q, V and K are collinear.
VP = 14x + 4
PK = x + 630
VQ = 17x + 6
KQ = 11x + 5
By segment addition postulate,
KQ + VQ + VP = KP
Substitute the values in the expression,
(11x + 5) + (17x + 6) + (14x + 4) = x + 630
(11x + 17x + 14x) + (5 + 6 + 4) = x + 630
42x + 15 = x + 630
42x - x = 630 - 15
41x = 615
x = 
x = 15
Therefore, value of VP = (14x + 4)
= 14(15) + 4
= 214 units
Learn more,
brainly.com/question/628239
Let AM be the distance between point A and the right wall and AN be the distance between A and the left wall.
Δ AMB is an isosceles right triangle and Δ ANC is half of an equilateral triangle.
Length of AM = 30 m. Length of AN = 1/2 · 80 = 40 m.
The distance between the walls is:
30 m + 40 m = 70 m.
