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3 years ago

Explain how the figure illustrates 6(9)=6(5)+6(4)

Mathematics

1 answer:

dsp733 years ago

3 0

Answer:

Step-by-step explanation:

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Orlov [11]

lengths are in ratio 1:3
areas are in ratio
1 : 3² = 1: 9
area of ADG = 9 x 42 = 378

8 0

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

2 years ago

Find slope A.1/2 B.-1/2 C.-2 D.2

fomenos

Answer:

Option B, -1/2

Step-by-step explanation:

The slope is change in y over change in x.

Since this line is facing downward, we already know that the slope is negative.

To find the ratio, find the change in y and divide the change in x.

Change in y = -1

Change in x = 2

Change in y over change in x: -1/2

Answer: Option B, -1/2

6 0

2 years ago

The circumference of a circle is 20π cm. What is the DIAMETER of the circle?

marshall27 [118]

D≈6.37

CCircumference 20

5 0

3 years ago

Read 2 more answers

Which of the following best describes the shape of the

irina [24]

Is a) skewed to the left

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2 years ago

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Explain how the figure illustrates 6(9)=6(5)+6(4)​

Explain how the figure illustrates 6(9)=6(5)+6(4)