Answer:
m = 3 1/3
Step-by-step explanation:
since the triangles are similar then ΔATR must be isosceles also
we can set up this proportion:
AR/TR = EF/EG
12/8 = 5/m
cross-multiply to get:
12m = 40
m = 40/12 or 20/6 which is 3 1/3
37. complementary angles always add up to 90. just subtract 57 from 90 and you get 37.
Answer:
1,344 square inches
Step-by-step explanation:
First, determine the faces that you have to find the areas of! In this situation, you need to find the areas of two trapezoids and four rectangles.
Finding the area of a trapezoid is pretty straightforward! Simply find the average of the two bases and multiply that by the height. ((5+15)/2)*12 should equal the area of one trapezoid. Because they're both the same trapezoid, you can multiply this area by two in order to get the area of both. This will get you 240.
Now, find the area of each of the rectangles by multiplying their individual bases and heights together. You'll find them to be 312, 360, 120, and 312.
Lastly, add all the areas together to get the total surface area.
The sides of this triangle are 5x,6x abd 7x,
The perimeter of a triangle is the sum of all sides
We can suggest this inequation:
5x+6x+7x<54
18x<54
x<54/18
x<3
Therefore the lenght of the longest side would be:
7x<(7*3)
7x<21
Answer: the lenght of the longest side would be <21