Answer:
1). All four triangles are right-angled.
3.) All four triangles are congruent.
4) Area of a rhombus = 4 x area of one triangle.
Step-by-step explanation:
If a rhombus is cut into four triangles using diagonals, the three statements that would apply to any rhombus would be that 'all those four triangles would be right-angled,' 'the triangles would be congruent to one another,' and 'area of one triangle * 4 would be equal to the area of the rhombus.'
As we know, the diagonals bisect one another in a rhombus at 90° and the angles opposite to one another are equal. This <u>proves that all four triangles constructed through the diagonals would be ≅ through SSS congruency and perpendicular to one another because the corresponding edges of the congruent triangles are also ≅</u> . Since the rhombus is divided into four equal parts, the area of one triangle into four would be equals to the area of the rhombus. Thus, <u>options 1, 3, and 4</u> are the correct answers.
<span>you'll find the denominator is zero which isn't possible, so you'll get undefined. </span>
Answer:
consistent system, independent system, independent system, inconsistent system
Step-by-step explanation:
1) A system of linear equation with at least one solution is a consistent system.
2) A system of linear equation with exactly one solution that is called independent system
3) A system of linear equations with an infinite number of solution is a dependent system
4) A system of linear equations with no solution is a inconsistent system
Answer:
42
Step-by-step explanation:
f(3)=2(3)^3-(3)^2-4(3)+9
f(3)=2(27)-(9)-12+9
f(3)=54-21+9
f(3)=33+9
f(3)=42
