A) 28 | B) 29 |

C) 31 | D) 35 |

Explanation:

Clearly, we have :

A = B - 3 ...(i)

D + 5 = E ...(ii)

A+C = 2E ...(iii)

B + D = A+C = 2E ...(iv)

A+B + C + D + E=150 ...(v)

From (iii), (iv) and (v), we get: 5E = 150 or E = 30.

Putting E = 30 in (ii), we get: D = 25.

Putting E = 30 and D = 25 in (iv), we get: B = 35.

Putting B = 35 in (i), we get: A = 32.

Putting A = 32 and E = 30 in (iii), we get: C = 28.

A) is a flat surface that extends indefinitely in all directions | B) is where other geometric shapes can be constructed |

C) is described generally, not using a formal definition | D) can be named using three noncollinear points |

Explanation:

In geometry, we can define plane as a flat surface with no thickness.

The surface extends with no ends.

A plane does not have any edges even if we draw it on paper with edges, it does't mean it has edges.

Hence, A plane is an undefined term because it is described generally, not using a formal definition.

A) 0 | B) 9 |

C) 8 | D) -9 |

Explanation:

Absolute value of a number :

It means that the distance of a number from 0 on a number line.

Here absolute value of 9 is that on a number line 9 is 9 units away from 0. Hence its absolute value is 9. Similarly, absolute value of -9 means -9 is also 9 units away from the 0 on number line. Hence, absolute value of -9 is also 9.

Hence, the **absolute value of 9 is 9.**

A) 6 | B) 620 |

C) 62 | D) 2 |

Explanation:

Here in the question it is asked that 62 tens, which implies ten times of 62.

=> 62 x 10 = 620.

Hence, **the value of 62 tens = 620.**

A) TRUE | B) FALSE |

Explanation:

Yes, a square is a rhombus. But a rhombus is not a square unless the interior angles are at right angles.

We know that, a square is a quadrilateral with all sides equal and all the interior angles are 90 deg i.e, at right angles.

Whereas

a rhombus is also a quadrilateral with all sides equal but the interior angles are not at right angles. Hence, if the interior angles of a rhombus are all at right angles (90 deg), then it is square.

Technically or logically it is possible only once. As if you subtract 5 from 25 at first te result will be 20. Now, you can't subtract 5 from 25 since the left number is 20.

But if you go mathematically, it can be done infinite times and only 5 times without going into the negatives.

A) 1820 | B) 180 |

C) 200 | D) 160 |

Explanation:

18 tens 20 ones, the given stateent can be split into

18 tens = 18 x 10 = 180

20 ones = 20 x 1 = 20

Then add both => 180 + 20 = 200

Hence, **18 tens 20 ones = 200.**

A) Congruent | B) Coplanar points |

C) Collinear points | D) None |

Explanation:

Points that lie on the same line are called Collinear points. And that points lie on the same plane are called Coplanar points.