If you draw a diagonal from upper left to lower right, you divide the figure into two triangles. One is a 3-4-5 right triangle (with area = (1/2)*3*4 = 6). The other is a 5-5-4 isosceles triangle.
The altitude of the isosceles triangle (upper left vertex to side 4) can be found from the Pythagorean theorem as
.. altitude = √(5^2 -2^2) = √21
So, the area of the isosceles triangle is
.. (1/2)*4*√21 = 2√21
The sum of the areas of the two triangles matches selection C.
Answer:
B
Step-by-step explanation:
∠ 2 and 37° are vertically opposite angles and are congruent, then
∠ 2 = 37°
∠ 1 and 37° are a linear pair and sum to 180° , that is
∠ 1 + 37° = 180° ( subtract 37° from both sides )
∠ 1 = 143°
∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 3 = 143°
6 even bags: 2 granola bars and 5 pieces of dried fruit per bag
Answer:
25m
Step-by-step explanation:
Area = Side²
Side = √Area
= √625
= √25 x 25
= 25 m
5x + 3y = 22
y = 2x
Substitute y=2x into the first equation
5x + 3(2x) = 22
5x + 6x = 22
11x = 22
x = 2
Hope that helps :)
