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3 years ago

I mark as brainliest

Mathematics

1 answer:

Eddi Din [679]3 years ago

8 0

Answer:

the third one

Step-by-step explanation:

if im wrong you don't have to mark as braniest

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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

The answer to this................

pochemuha

Plot a point at the y-intercept of -2 or y = -2
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From there make a straight horizontal line
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Then Shade the upper-half of that line one color This shaded part stands for
Y > -2
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Shade the lower half a different color, this stands for y ≤ 6
-------------------------------------------------------------------------
That should be it!

3 0

3 years ago

The Johnsons bought 3 burrito meals and 4 taco meals for $48. The Sloans bought 6 burrito meals and 2 taco meals for $60. How mu

faust18 [17]

Answer:

Each burrito meal cost 8$

Each taco meal cost 6$

Step-by-step explanation:

Johnsons= 3b +4t =48

Sloans= 6b+2t=60

multiple johnsons by -2

so, now the johnsons are -6b+-8t=-96

add that to the sloans so, -6b+6b-8t+2t=-96+60

the b's cancel eachother out, so you are left with -6t= -36

divide each side by -6 and you will get t=6

then you can pick either formula, lets say sloans this time

so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48

so 6b=48, divde each side by 6 and you will get b=8

7 0

3 years ago

clint has 6 apple muffins, 2 corn muffins, and 4 bran muffins what fraction of muffins are bran weite the fraction in simplest f

Feliz [49]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

The fraction of bran muffins is expressed as bran muffins over total muffins.

Total muffins = 6 + 2 + 4 = 12 and bran muffins = 4, thus

fraction = $\frac{4}{12}$ ← divide ( cancel ) each value by 4 )

fraction = $\frac{1}{3}$ ← in simplest form

6 0

3 years ago

Read 2 more answers

Based on the information given in the diagram, can you prove ABCD a parallelogram?

mylen [45]

Yes, one pair of sides is both parallel and congruent

I think that's it

4 0

3 years ago

Read 2 more answers

I mark as brainliest ​

I mark as brainliest