You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

$\large{ \tt{❁ \: LET'S \: START }: }$

Set up an equation & solve for p :

$\large{ \bf{☄ \: p - 30 = \frac{1}{2} p }}$

$\large{ \tt{↦ \frac{1}{2} p = p - 30}}$

$\large{ \tt{↦ \frac{1}{2} p - p = - 30}}$

$\large{ \tt{↦ \frac{p - 2p}{2} = - 30 }}$

$\large{ \tt{↦p - 2p = - 60}}$

$\large{ \tt{ ↦ \: - p = - 60}}$

$\large{ \tt{↦p = 60}}$

The value of p is 60

$\large{ \tt{❇ \: REPLACING \: VALUE}} :$

$\large{ \tt{↬ \: wz = p - 30 = 60 - 30 = \boxed{\boxed{ \tt{30 }} }✔}}$

Hence , WZ = 30 .

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7 0

2 years ago

Cans of wood varnish come in three sizes.

LenKa [72]

The cost of 1 liter for the small and medium cans is 4.4 and 2.4.

<h3>What is Unitary method?</h3>

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

As,

Small can: A 200 ml can costs £0.88.

Medium can: A 500 ml can costs £1.32.

Large can: A 1 litre can costs £3.60.

Now, 200 ml = 0.2 l

500 ml = 0.5 l

For 0.2 l = 0.88

For 1 l= 0.88/0.2

For 1 liter = 4.4

For 0.5l medium can = 1.32

For 1 l medium can= 1.32/0.5

For 1 l medium can = 2.4

Hence, cost of 1 liter for the small can is £ 0.88 the cost of 1 liter for the medium can is £ 2.4.

Learn more about this concept here:

brainly.com/question/22469540

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8 0

1 year ago