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3 years ago

HELP PLEASE 4-7f=f-12

Mathematics

1 answer:

Crank3 years ago

3 0

Answer:

f = 2

Step-by-step Explanation

4 - 7f = f - 12

+12 +12

-------------------

16 - 7f = f

+7f +7f

-------------------

$\frac{16}{8} = \frac{8f}{8}$

2 = f

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18. Solve the inequality. Show your work. –6b > 42 or 4b > –4

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3 years ago

Read 2 more answers

Lines c and d are parallel lines cut by transversal p.

lilavasa [31]

Answer:

Option (B).

Step-by-step explanation:

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The angles are formed as shown in diagram.

Here,

$\angle 1 = \angle 7 (alternate)\\\\\angle 2 = \angle 6 (corresponding)\\\\\angle 3 = \angle 5 (alternate)\\\\\angle 5 = \angle 7 (alternate)$

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3 years ago

Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

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Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

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3 years ago

What is the area of this triangle??

dezoksy [38]

Answer:

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Step-by-step explanation:

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2 years ago