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4 years ago

What is the answer to this 9(3+2)-3(8-7)

Mathematics

2 answers:

exis [7]4 years ago

5 0

9 x 5 - 3 x 1
45 - 3 = 42

answer: 42

11111nata11111 [884]4 years ago

4 0

Answer:

Step-by-step explanation:

9(3 + 2) -3(8 - 7) Solve inside the parentheses

9(5) -3(1) Multiply

45 - 3 Subtract

If this answer is correct, please make me Brainliest!

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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:

$\angle DFE = \angle E =90-\dfrac{y}{2}$

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Answer:

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Step-by-step explanation:

The equation is (5 - x) / 2 = 2x - 7

Multiply both sides by 2:

5 - x = 4x - 14

Add 14 to both sides:

19 - x = 4x

Add x to both sides:

19 = 5x

Divide both sides by 5 to isolate x:

3.8 = x

Therefore, x = 3.8.

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Answer:

Step-by-step explanation:

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