Is it possible for a right triangle with a leg that is 12 inches long and a hypotenuse that is 37 inches long to be congruent to a right triangle with a leg that is 35 inches long and a hypotenuse that is 37 inches long? Complete the explanation. Yes
. Let the remaining leg of the first triangle have a length of x inches. Then by the Pythagorean Theorem, x2 + 122 = 372. So, x2 + 144 = 1,369, x2 = 1,225, and x =
. Therefore, the hypotenuse and a leg of the first right triangle are congruent to the hypotenuse and a leg of the second right triangle, so the triangles
are
congruent by the HL Triangle Congruence Theorem.

Danny draws a transversal, t, on two parallel lines ab and cd, as shown below: he makes the following table to prove that the alternate interior angles are equal: which is the missing justification? (6 points) corresponding angles formed by a transversal on parallel lines are supplementary. corresponding angles formed by a transversal on parallel lines are congruent. co-interior angles formed by a transversal on parallel lines are congruent. co-exterior angles formed by a transversal on parallel lines are congruent.

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

The product of (7x-2) and (20-3x)/4. when x=4