C) The 2 triangles are similar , then we can write:
5x/45 = 20/36 . Cross multiplication:
5x*36 = 45*20
180x = 900 and x = 900/180 , x = 5 (and 5x = 25)
d) Remember the proportionality theorem (or Thales')
You can write the following proportion:
GH/HJ = KL/LM
8/6 = 10/x . Cross multiplication:
8x = 60 and x = 60/8 , x = 7.5
This is a lot of calculation.
So we know that the sum of angles for any heptagon is 900, because heptagon can be divided into five non-overlapping triangles and sum of angles of each triangle is 180.
Now you just add up all angles and simplify the equation:
900 = (6x - 8) + 120 + (7x - 64) + (5x - 4) + 135 + (3x + 31) + (4x + 15)
900 = <span>25x + 225
Now it's just regular algebra equation. You can solve for x:
675 = 25x
x = </span>27
So the value of x is 27
Answer:
-65
Step-by-step explanation:
i did it and looked it up
Answer:
Step-by-step explanation:
We are give the following in the question:
Dimensions of rectangle:
Length , l =
Width of rectangle, w =
Area of rectangle = 125 square cm.
Area of rectangle =
Putting values, we get,
is the required equation.
Hello! So, when you know your fractions and percents, you know that about 33% equals 1/3. 31 is close to 33, so the best estimate for 31% of 9 is 3. When you solve it on a calculator, 9 * 31% (0.31) is 2.79, which rounds off to 3 when rounded to the nearest whole number. The answer is B: 3.
