8 people share 2 cakes equally, how much cake will each person get ?

Answer:

Total number of ways will be 20

Step-by-step explanation:

We have given three identical green shirts and three identical red shirts

So total number of shirts = 3+3 = 5

We have to distribute these shirts to 6 children so that each children got one shirt

Number of ways will be equal to ( Here we divide by 3!3! because three green shirts and 3 red shirts are identical )  

Answer:

4

Step-by-step explanation:

Simplify x and y by rationalising the denominator of both

To rationalise the denominator multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of 2 + is 2 -

The conjugate of 2 - is 2 +

x = = = 2 -

y = = = 2 +

Thus

x + y = 2 - + 2 + = 4

• The center of the circle lies on the x-axis

• The radius of the circle is 3 units.

• The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The standard equation of a circle is expressed as:

• Centre is (-g, -f)

• radius = √g²+f²-C

Given a circle whose equation is

Get the centre of the circle

2gx = -2x

2g = -2

g = -1

Similarly, 2fy = 0

f = 0

Centre = (-(-1), 0) = (1, 0)

This shows that the center of the circle lies on the x-axis

r = radius = √g²+f²-C

radius = √1²+0²-(-8)

radius =√9 = 3 units

The radius of the circle is 3 units.

For the circle x² + y² = 9, the radius is expressed as:

r² = 9

r = 3 units

Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Learn more on circles here: brainly.com/question/23226948

Answer:

a, b and e

Step-by-step explanation:

i got it correct on edge

Answer:

Step-by-step explanation:

1. a) vertical stretch by a factor of 5 and

  e) reflection over x-axis

2. c) reflection over the y-axis

   e) horizontal shift to the right 4 units

3. c) horizontal shift

Answer:

Option 4 is correct that is both apply

Step-by-step explanation:

We have given  the triangle we have to tell which postulate SSS or SAS  to use to prove

ΔABC=ΔAED

We can use both of them

Case1: Since, three of the sides are equal that is

AB=AE

AC=AD

BC=ED

Which means SSS can be used

Since, SSS is side side side

Case2: Since one angle and two sides are equal

AB=AE

AC=AD

And ∠BAC=∠EAD

Which means SAS can be used

Since, SAS is side angle side

Therefore, Option 4 is correct that is both apply.

Answer:  both apply

Step-by-step explanation:

• SSS congruence postulate says that if three sides of one triangle are congruent to three sides of other triangle then the triangles are said tobe congruent.

SAS congruence postulate says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of other triangle then the two triangles are said to be congruent.

In the given triangles ΔABC and ΔAED , we have

∠BAC ≅ ∠EAD

AC ≅ AD

BE ≅ DE

If AB ≅ AE , then we have sufficient things to proof that ΔABC ≅ ΔAED by SSS congruence postulate .

i.e. for AC ≅ AD , BE ≅ DE and AB ≅ AE   [all three sides are congruent]

ΔABC ≅ ΔAED  by SSS congruence postulate.

Also, If AB ≅ AE , then we have sufficient things to proof that ΔABC ≅ ΔAED by SAS congruence postulate .

i.e. for AC ≅ AD   [Side]

∠BAC ≅ ∠EAD    [included angle]

AB ≅ AE             [Side]

⇒ ΔABC ≅ ΔAED  by SAS congruence postulate.

Hence, we can apply both postulates to prove triangles congruent .

Answer:

Both A and B are correct.

Step-by-step explanation:

The unique feature of credit unions is -

a)Credit unions are typically owned and run by their members

b)Credit unions limit membership to certain people or groups

Credit unions are non profit cooperative organisations whose members can borrow money from these institutions at low interest rates. This is run by a few members.

These provide a variety of financial services like- savings accounts, CD's, credit cards etc.