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3 years ago

In the triangle below, which of the following best describes XV

Mathematics

2 answers:

Tresset [83]3 years ago

5 0

Answer:

The correct option is C. XV is an angle bisector.

Step-by-step explanation:

Altitude: A perpendicular line segment from any vertex of a triangle to the opposite side is called an altitude.

Median: A line segment from any vertex of a triangle to the opposite side, which divides that side is two equal parts is called median.

Angle bisector: A line segment from any vertex of a triangle to the opposite side, which divides the angle of vertex in two equal parts is called an angle bisector.

Perpendicular bisector: A perpendicular line segment from any vertex of a triangle to the opposite side, which divides that side is two equal parts is called perpendicular bisector.

From the given graph it is clear that the line segment XV divides the angle X is two equal parts,

$\angle YXV=\angle ZXV=40^{\circ}$

Therefore, XV is an angle bisector and the correct option is C.

Mariana [72]3 years ago

3 0

Answer:

angle bisector

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Pierre uses 30 grams of chocolate to make

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Step-by-step explanation:

Given,

Chocolate used to make 200 ml of chocolate sauce = 30 grams

Ratio of chocolate to milliliters of chocolate sauce = 30:200

Let,

x be the milliliters of sauce made from 450 grams of chocolate

Ratio of chocolate to ml of sauce = x:450

Using proportion;

Ratio of chocolate to ml of sauce:: ratio of chocolate to ml of sauce

$30:200::450:x$

Product of extreme = Product of mean

$30*x=200*450\\30x=90000$

Dividing both sides by 30

$\frac{30x}{30}=\frac{90000}{30}\\x=3000$

450 grams of chocolate will make 3000 milliliters of chocolate sauce.

We will convert this in liters.

1 liter = 1000 ml

3000 ml = $\frac{3000}{1000}$ = 3 liters

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Keywords: ratio, proportion

Learn more about proportion at:

#LearnwithBrainly

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