Answer:
B
Step-by-step explanation:
- divide the given polygon into two (a square and a trapezium
- area of trapezium=1/2(a+b)×b 1/2(12+6)×12 ans 108square unit
- area of a square=s×s 12×12 =144square unit
- add 108+144=252square unit
Explanation:
<u>Statement 2</u>:
Angle J is congruent to itself
<u>Reason 2</u>:
Reflexive property of congruence
__
<u>Statement 3</u>:
ΔHIJ ~ ΔGHJ
<u>Reason 3</u>:
SAS similarity theorem
_____
The sides given as proportional (having the same ratio) are corresponding sides in the two triangles. The first pair of sides (HJ, GJ) are named by the first and last letters of the triangle names, so correspond. The second pair of sides (IJ, HJ) are named by the last two letters of the triangle names, so correspond.
The angle between these corresponding sides is the one at the vertex whose name is the point shared by the sides. In the first triangle, the two sides of interest are HJ and IJ, which share the point at J. Thus angle J is the angle between these two sides. In the second triangle, the two sides of interest are GJ and HJ, which share the point at J. Hence angle J is the angle between these two sides, also.
So, we have corresponding sides that are proportional and the angle between them that is congruent (to itself). This allows us to invoke the SAS theorem for triangle similarity.
1 / (1/6) = x / (2/3)...1 drop to 1/6 dash = x drops to 2/3 dash
cross multiply
(1/6)(x) = (1)(2/3)
1/6x = 2/3
x = 2/3 * 6
x = 12/3 = 4 drops <==
Answer: 272
Step-by-step explanation:
408/6 = rate of 68 miles an hour
4 hours x 68 miles each hour = 272 miles
Square 4 inches perimeter, triangle is 3. If we look at it as 1 unit, it is 7. 35/7 is 5. Five squares and triangles means 10 polygons overall.
