find the dimensions of rectangle whose perimeter is 112cm and whose breadth is 4 cm less than half its length​

Answer:

  x < 3

Step-by-step explanation:

Divide both sides by 2.

  (2x)/2 < 6/2

  x < 3

_____

An inequality is solved the same way an equation is solved, with one exception. If an operation is performed that changes ordering, then the comparison symbol is reversed. The usual case is multiplication or division by a negative number:

  2 > 1

  -2 < -1 . . . . both sides multiplied by -1

From the given options

options I, III and IV  are Arithmetic sequences.

Given :

we are given with sequences. we need to check which one is arithmetic sequence.

A sequence is arithmetic when the consecutive terms have common difference.

Lets check one by one

Its arithmetic because common difference is same 3.6

2, –2.2, 2.42, –2.662, 2.9282, …

-2.2-2=-4.2

2.42+2.2=6.62

Its not arithmetic

5, 1, –3, –7, –11, …

1-5=-4

-3-1=-4

-7+3=-4

-11+7=-3

Common difference is -4. So it Arithmetic

–3, 3, 9, 15, 21, …

3+3=6

9-3=6

15-9=6

Its Arithmetic

–6.2, –3.1, –1.55, –0.775, –0.3875, …

-3.1+6.2=3.1

-1.55+3.1=1.55

Its not Arithmetic

So, options I, III and IV  are Arithmetic sequences.

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Answer:

it should be 2nd option, 3rd, and 5th.

Step-by-step explanation:

Answer:

Yes, he will have to go back, 1 person

Step-by-step explanation:

Answer: 11 I think

Step-by-step explanation:

The midpoint of the line is the point that divides in two halves of the same length.

• ΔDFG ≅ ΔBGE and ≅ by CPCTC, therefore, Gis the midpoint of

Reasons:

The given parameters are;

The midpoint of AB in parallelogram ABCD = E

The midpoint of DC = F

Point of intersection of EF and DB = Point G

Required:

To prove that point G is the midpoint of EF.

Solution:

Statement                               Reason

1. m∠BDC ≅ m∠ABD            1. Alternate angles theorem

2. m∠DGF ≅ m∠BGE           2.Vertical angles theorem

3. =                            3. Opposite sides of a parallelogram ABCD

4. ≅                           4. Definition of midpoint of DC

5. =                            5. Definition of congruency

6. + = DC                 6. Segment addition property

7. + = DC                  7. Substitution property

8. 2· = DC                         8. Addition

9. = 0.5· =          9. Division property    

Similarly;

10. = 0.5· =          10. Division property

11. 0.5· = 0.5·             11. Multiplication property of equality

12. =                           12. Substitution property

13. ΔDFG ≅ ΔBGE                 13. Angle-Angle-Side rule of congruency

14. ≅                          14. CPCTC    

15. =                           15. Definition of congruency

16. Point G is the midpoint of  17. Definition of midpoint

Learn more about the midpoint of a line here:

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Answer:

GF = GE that prove G is the mid-point of EF

Step-by-step explanation:

In the Parallelogram ABCD

∵E is the mid-point of AB

∵F is the mid-point of CD

∵AB = CD opposite sides in the parallelogram

∴EB = DF⇒(1)

∵AB // CD opposite sides in the parallelogram

∴m∠EBD = m∠FDB alternate angles ⇒(2)

∵BD intersects EF at G

∴m∠BGE = m∠DGF vertically opposite angles ⇒(3)

By using (1) , (2) and (3) you can prove:

ΔBGE is congruent to ΔDGF ⇒ AAS

∴GF = GE

∴G is the mid-point of EF

Answer:

3/5

Step-by-step explanation:

You divide 1 and 3. Keep the denominator since it is the same number

Hope this was helpful, Have a Great Day!!

Answer:

1/3

Step-by-step explanation:

1/5 multiplied by 3/5 = 15/5 = 3

then flip over and put 1/3