All categories

2 years ago

Select the fraction that is equivalent to one third.

Mathematics

1 answer:

denpristay [2]2 years ago

5 0

Answer:

$\frac{2}{6}$ (two sixths)

Step-by-step explanation:

if we scale the fraction 1 / 3 to find equivalent fractions, we can simply multiply both numbers by the same factor.

So, by multiplying both 1 and 3 by two, we will have an equivalent fraction

1 × 2 = 2
_ _

3 × 2 = 6

This means that

$\frac{1}{3}$ (one third) is equivalent to $\frac{2}{6}$ (two sixths)

You might be interested in

If RST XYZ, which statement must be true?

olga nikolaevna [1]

A because the angles match

5 0

3 years ago

Read 2 more answers

Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are given the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

Finding  $\angle DFE$ :

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$

Finding  $\angle E$ :

Property of external angle: External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external $\angle DFG$ = $\angle E + \angle EDF$

$\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2} -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)$

Comparing equations (1) and (2):

It can be clearly seen that:

$\angle DFE = \angle E =90-\dfrac{y}{2}$

The two angles of $\triangle EDF$ are equal hence $\triangle EDF$ is isosceles.

8 0

3 years ago

The mean of x y and z is 20. find the mean of x-5 y+4 z-5

Dafna11 [192]

Answer:

Step-by-step explanation:

Sum of x, y and z = 20 × 3

= 60

x-5+y+4+z-5 = 60-5+4-5

= 54

Mean of x-5, y+4 and z-5

= 54 ÷ 3

= 18

7 0

2 years ago

Solve the Quadratic Equation.

vichka [17]

Answer:

x = ± 2i

Step-by-step explanation:

The equation has no real roots, gut has complex roots

Given

x² = - 4 ( take the square root of both sides )

x = ± $\sqrt{-4}$

= ± $\sqrt{4(-1)}$

[ Note that $\sqrt{-1}$ = i ]

= ± $\sqrt{4}$ × $\sqrt{-1}$ = ± 2i

7 0

3 years ago

The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered

grigory [225]

The pair of equations that has (0, 8) as its solution is: A. equation A and equation C.

<h3>What is the Solution to a System of equations?</h3>

The solution to a system of linear equations that are graphed is the pair of x and y coordinates of the points where two lines intersect.

In the graph given, the lines representing equations A and C intersect at point (0, 8). Therefore, the pair of equation that has a solution of (0, 8) is: A. equation A and equation C.

Learn more about solution of a system of equations on:

brainly.com/question/847634

#SPJ1

5 0

2 years ago