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4 years ago

Which of the following is the slope of line perpendicular to the y= -2/3x + 5? A.2/3 B.3/2 C.-2/3 D.-3/2

Mathematics

1 answer:

Fofino [41]4 years ago

8 0

Answer:

+3/2 (Answer B)

Step-by-step explanation:

If the slope of a given line is m, then the slope of any line perpendicular to this given line is the negative reciprocal of the slope of the latter:

-1

------------ = +3/2 (Answer B)

-2/3

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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

What does 150 / (-2) equal?

Nookie1986 [14]

Answer:

-75

Step-by-step explanation:

I just checked on a calculator

6 0

3 years ago

Read 2 more answers

there are 60 fish in the pond. use your experimental probability to predict how many are pink salmon, yellowfin tuna and blue gi

Talja [164]

Answer: I got it right on the tutorial

Step-by-step explanation:

Pink salmon: 25

Yellowfin Tuna: 0

Bluegill: 25

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3 years ago

Mr Amadi left his house by 6:30am and returned by 8:05pm. how long was he away from home

SpyIntel [72]

Answer:14 hrs and 25 mins

Step-by-step explanation:

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3 years ago

Formula lui paralelipiped.

Scorpion4ik [409]

V=abc
a=2(ab+act+bc)

hope it helps

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4 years ago