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3 years ago

Solve: -3k(1-6k)=6k+21

Mathematics

1 answer:

Olenka [21]3 years ago

7 0

Answer: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

√

177

−

√

177

Decimal Form:

1.35867789

…

−

0.85867789

…

Step-by-step explanation

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Q6: 24 students in a class took an algebra test.

german

Answer:

25%

Step-by-step explanation:

18/24 passed that reduces 3/4.

So 1/4 didn't pass

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3 years ago

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

If x = -6, which inequality is true?

lakkis [162]

Answer:

Step-by-step explanation:

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3 years ago

Reasoning Nolan listed the weights

dmitriy555 [2]

Answer:

the greater is 6.25 ounces because the frequency is 13

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3 years ago

If x - y = 10, then y =?

alexgriva [62]

Answer:

Given,x-y=10

Then,-y=10-x

or,-y=-(-10+x)

or,y=x-10

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3 years ago