Inside the square ABCD, side 15 cm, the point M is considered, so that the triangle ABM is equilateral. Show that:
2 answers:
Answer:
Step-by-step explanation:
a) area of square: 15 x 15 = 225 cm²
b) The steps are illustrated in the picture.
ΔADM ≅ ΔBCM (sas)
DM = CM
ΔMDC is isoceles
Answer:
a) 15*15=225 that is the area
b)see picture that I drew (sorry I have terrible drawing skills on a computer) but in a an isosceles triangle the two legs are congruent and the base is not when you cut a square diagonally as you have done this one the base will not be the same as the other two legs.
Step-by-step explanation:
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Step-by-step explanation:
Scale factor red to blue meaning 42 to 7
42÷7=6
Scale factor is 6
Perimeter of the blue quadrilateral = ?
If perimeter of red = 204
Then we use this following proportion
Then we cross multiply
42x=7×204
42x=1428
x=34
Area of the blue quadrilateral = ?
If area of the red quadrilateral = 2880
Then we use the following proportion
Then we cross multiply
42x=2880×7
42x=20160
x=480
If 
(which is the domain of 
), then 
for 
.
But also, recall that has period 
, which means 
for all integers 
. This means the general solution to is 
for 
.
This doesn't match any of the given choices, but we can simply write
and we can just replace
with , since both can be arbitrary integers, which means (D) is the correct answer.
But also, recall that
This doesn't match any of the given choices, but we can simply write
and we can just replace