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3 years ago

Paul, Colin and Brian are waiters.

Mathematics

1 answer:

Reptile [31]3 years ago

5 0

Paul receives 2 portions, which equals to 7.9 * 2 = 15.8

Colin receives 3 portions , this equals to 7.9 * 3 = 23.7

the difference between the 2 portions is 23.7 - 15.8 = 7.9

hence, Colin receives £7.9 over Paul

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algol [13]

Answer:

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Step-by-step explanation:

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3 years ago

Please help and show workings

Scorpion4ik [409]

Given:

In an isosceles triangle,

One base angle = (4x-15)°

Vertex angle = 95°

To find:

The value of x.

Solution:

Let the triangle be ABC.

We have,

$m\angle A=95^\circ$

$m\angle C=(4x-15)^\circ$

Since ABC is an isosceles triangle and AB=AC, therefore, the base angles are equal.

$m\angle B=m\angle C=(4x-15)^\circ$

Using angle sum property of triangles, we get

$m\angle A+m\angle B+\angle C=180^\circ$

$95^\circ+(4x-15)^\circ+(4x-15)^\circ=180^\circ$

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$(8x+65)=180$

On further simplification, we get

$8x=180-65$

$8x=115$

$x=\dfrac{115}{8}$

$x=14.375$

Therefore, the value of x is 14.375.

8 0

3 years ago

What is the area of the polygon? Show your work!

stepan [7]

Answer:

6+6=12 cm

4+4=8 cm

6+6= 12 cm

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Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Julli [10]

Answer:

$(m + 2)^{2} - m^{2} - 12 = 4(m - 2)$

Step-by-step explanation:

Step 1:

Write the expression

$(m+2)^{2} - m^{2} - 12$

Step 2: Expand $(m + 2)^{2}$

$(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12$

Step 3: Collect similar terms

$m^{2} - m^{2} + 4m + 4 - 12\\4m - 8$

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

$Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)$

3 0

3 years ago

Pls help pls someone

suter [353]

Answer:

(2x-1)(x + 4) = 0

=> x=1/2or, x=-4

smaller x = -4

larger x = 1/2

5 0

3 years ago