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3 years ago

Jena walk 6 miles karla walk 3 times as far as jena which expression shows how many karla walk

Mathematics

1 answer:

marta [7]3 years ago

4 0

Answer:

y = 3x

y = 18

Step-by-step explanation:

Let :

Distance walked by Jena = x

Distance walked by Karla = y

x = 6

y = 3x ;

y = 3(6)

y = 18 miles

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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.

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3 years ago

Cot2a+tan2a/cot2a-tan2a=sec4a

mylen [45]

Answer:

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2 years ago

What is the completely factored form of 8x2 - 50?

bogdanovich [222]

Answer:

2(2x-5)(2x+5)

Step-by-step explanation:

I think you meant to say 8x^2-50. If so then factoring this down should be easy. Since there is no x value in the middle the equation will have a positive and a negative number. This is also a perfect square therefore, this factors down to: 2(2x-5)(2x+5).

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3 years ago

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marishachu [46]

Answer:

y = -5x

Step-by-step explanation:

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3 years ago

In a recent year, 26.2% of all registered doctors were female. If there were 45,300 female registered doctors that year, what wa

dybincka [34]

Answer:

172,901

Step-by-step explanation:

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3 years ago