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3 years ago

Solve the equation 4x - 3/5 = 2/5

Mathematics

1 answer:

Jobisdone [24]3 years ago

7 0

Answer:

1/4

Step-by-step explanation:

5/5 - 3/5 = 2/5

4x = 5/5 = 1

x = 1/4 (= 0.25)

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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

1⁄2 × 1⁄5 = help//.....

skad [1K]

Answer:

1/10

Step-by-step explanation:

1/2 * 1/5

Multiply the numerators

1*1 = 1

Multiply the denominators

2*5 =10

Numerator over denominator

1/10

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2 years ago

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16. Solve the linear equation. 12x– 2 = 2x + 18

tino4ka555 [31]

Answer:

x=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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2 years ago

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Chris is saving money to buy a game. So far he has saved $12, which is two-thirds of the total cost of the game. How much does t

IrinaK [193]

Answer: $18

Step-by-step explanation:

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3 years ago

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Which tools were used by ancient mathematicians to make geometric constructions?

ArbitrLikvidat [17]

The tools that were used by ancient mathematicians to make geometric constructions are compasses and straightedges. A compass is a drawing instrument used to draw circles and arcs. The straightedges on the other hand is a tool to check on the accuracy of a straight line.

The answer is first choice.

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3 years ago

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