Answer:
oop is this a test or something-
Step-by-step explanation:
Answer:
EF = 20 cm
Step-by-step explanation:
Here, we want to find the length of EF
To do this, we use the principle of similar triangles
The similar triangles we are considering here will be ;
FEA and FBD
when two triangles are similar, the ratio of their corresponding sides are equal
Let us calculate DC first
we can use Pythagoras’ theorem here and it is that the square of the hypotenuse equals the sum of the square of the two other sides
Using the triangle EDC
15^2 = 12^2 + DC^2
DC^2 = 225-144
DC^2 = 81
DC = 9
So the entire length of BD is 9 + 12 = 21 cm
Thus, we have it that;
Let EF be x
so DF = 15 + x
Hence;
BD/DF = AE/EF
21/15+x = 12/x
21x = 12(15 + x)
21x = 180 + 12x
21x-12x = 180
9x = 180
x = 180/9
x = 20 cm
EF = 20 cm
The answers are It is a quadrilateral and Both pairs of opposite sides are parallel.
Hope this helps.
For this case, the first thing we must do is define variables:
x: unknown number (1)
y: unknown number (2)
We now write the equations that model the problem:
their sum is 6.1:

their difference is 1.6:

Solving the system we have:
We add both equations:

Then, we look for the value of y using any of the equations:
Answer:
The numbers are:
25 feet = 25 x 12 = 300 inches
First light is at 16 inches.
300 - 16 = 284 inches
Find the rest of the bulbs:
284 ÷ 4 = 71
Total number of lights = 71 + 1 = 72
Answer 72 lights