Answer:
the length of the third side is 12.1m
Step-by-step explanation:
by Pythagoras we know the relationship of the sides of a rectangular triangle that is given by the formula h^2 = l1^2 + l2^2
h = hypotenuse = 14m
l1 = leg1 = 7m
l2 = leg2
h^2 = l1^2 + l2^2
14^2 = 7^2 + l2^2
196 = 49 + l2^2
196 - 49 = l2^2
147 = l2^2
√147 = l2
12.124 = l2
rounding to the nearest tenth
l2 = 12.1
Step-by-step explanation:
+) Polygons ABCD has: A(-7;4); B(-5;7); C(-3;4); D(-5; 1)
+) Polygons A'B'C'D' has: A'(-9;0); B'(-7;3); C'(-5;0); D'(-7;-3)
The side lengths of ABCD:
The side lengths of A'B'C'D':
So that side lengths of ABCD equal to those of A'B'C'D'.
However, this is not enough to said that they are congruent polygons, as 2 polygons are congruent when they have all corresponding sides and interior angles are congruent.
ABCD and A'B'C'D' have all corresponding sides congruent.
=> <em>So that "all corresponding interior angles are congruent" must be true for them to be congruent polygons</em>
Plug in 3 for x
f(3)= 2(3)+8
f(3)=6+8
f(3)=14
g(3)=5
Then add the values
14+5=19
Final answer: 19