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3 years ago

Enter an algebraic equation for the sentence. Use x as your variable.

Mathematics

1 answer:

Nuetrik [128]3 years ago

4 0

I think the answer is 4x - 15 = 6 + 1/2x

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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

Please Help , Is It A,B,C Or D

vladimir1956 [14]

Answer:

Im Gonna Have to Say B

Step-by-step explanation:

5 0

3 years ago

What is the Roman number of 233 234 235 and 236

WINSTONCH [101]

Answer:

232 = CCXXXII

233 = CCXXXIII

234 = CCXXXIV

235 = CCXXXV

236 = CCXXXVI

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Can someone pls explain!

zzz [600]

Answer: 70% is shaded. 7 are shaded and there is a total of 10. then you divide the answer would be 0.7 which is the same as 70%

Step-by-step explanation:

7 0

3 years ago

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A linear function includes the points (2, 3) and (6, 8). What is the rate of change of the linear function?

Sindrei [870]

Answer:

The rate of change of a linear function = 5/4

Step-by-step explanation:

Given that a linear function includes the points (2, 3) and (6, 8).

So we have the points

(2, 3)

(6, 8)

We know that the rate of change of a function is also termed as the slope of the function.

In other words, the slope of the linear function gives us the rate of change of the linear function.

Thus,

Determining the rate of change or slope between (2, 3) and (6, 8)

(x₁, y₁) = (2, 3)

(x₂, y₂) = (6, 8)

Using the formula

Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]

= [8 - 3 / [6 - 2]

= 5 / 4

Thus, the rate of change of a linear function = 5/4

7 0

2 years ago

Read 2 more answers