Answer:
Step-by-step explanation:On the given diagram you see two right triangles with equal hypotenuses and pair of equal angles.
Based only on the information given in the diagram you can conclude that triangles are congruent by HA theorem (the HA theorem states that "if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent").
Also you can conclude that triangles are congruent by AAS Postulate (the AAS Postulate states that "if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent").
Answer:
20 more people
Step-by-step explanation:
30 people like cashews. ('m one lol) 10 like walnuts. to find the diffrence.
30 - 10 =20
X = 35°
y = 45°
the angle of x is congruent to 35°, meaning their measurements are equal. and to find y, you must remember that all the angles in a triangle sum to 180°. so, you just need to add 35° and 100°, giving you 135°. from there, you subtract it from 180° and get 45°
i hope this makes sense!!
Answer:
first
area of rectangle = l*b
= (3x-y+4) ( X+7)
= 3x²-xy + 4x+21x-7y+28
= 3x²-xy +25x-7y +28
Area of square = l²
= (x-2)²= x²- 4x +4
area of shaded region=( 3x²-xy +25x-7y +28) -(x²- 4x +4)
=2x²-xy +29x-7y+24
Step-by-step explanation: