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2 years ago

What is the area of triangle EDF?

Mathematics

1 answer:

Ann [662]2 years ago

6 0

Answer:

4.5

Step-by-step explanation:

∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.

Since they share the same proportions, the same operations can be performed on each base to find the area.

The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.

3*3 = 9

9/2 = 4.5

So the area is 4.5

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Answer:

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Step-by-step explanation:

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2 years ago

A company policy requires that for every 30 employees, there must be 3 supervisors. If there are 267 supervisors at the company,

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267 supervisors will have 2670 employees.

Step-by-step explanation:

Let x be the number of employees.

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2 years ago

Make a the subject of a2+b2=c2

wel

Answer:

$a=\sqrt{c^2-b^2$

⇒ $a=\sqrt{(c+b)(c-b)}$ [Factorized form]

Step-by-step explanation:

Given expression:

$a^2+b^2=c^2$

We need to make $a$ the subject.

In order to do that we need to solve the expression for $a$ in terms of $b$ and $c$

We have,

$a^2+b^2=c^2$

Subtracting both sides by $b^2$

$a^2+b^2-b^2=c^2-b^2$

$a^2=c^2-b^2$

Taking square root both sides in order to remove square of $a$

$\sqrt{a^2}=\sqrt{c^2-b^2}$

$a=\sqrt{c^2-b^2$

The difference of squares can be factorized and written as:

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2 years ago

Two planes intersect in a___. •point •ray •line •line segment

ivolga24 [154]

Two planes intersect in a line..I think because planes are not lines

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2 years ago

Read 2 more answers

What's 2\5 =12/n solving proportions

gogolik [260]

Cross multiply: 2 * n = 5 * 12

Simplifying 2 * n = 5 * 12

Multiply 5 * 12 2n = 60

Solving 2n = 60

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '2'. n = 30

Simplifying n = 30

8 0

2 years ago