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3 years ago

A closed plane figure with all sides congruent is called a

Mathematics

1 answer:

dlinn [17]3 years ago

7 0

Answer:

It's a Polygon

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The points with coordinates (x, -1), (2,2), and (4,3) lie on the same line. What is the value of x?

borishaifa [10]

Find the slope of the line passing throught the points (2, 2) and (4, 3).

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute:

$m=\dfrac{3-2}{4-2}=\dfrac{1}{2}$

If the point (x, -1) lie on the same line, then the slope of line passing through the points (2, 2) and (x, -1) the same:

Substitute:

$m=\dfrac{-1-2}{x-2}=\dfrac{-3}{x-2}$

We have the equation:

$\dfrac{-3}{x-2}=\dfrac{1}{2}$ <em>cross multiply</em>

$(1)(x-2)=(-3)(2)$

$x-2=-6$ <em>add 2 to both sides</em>

$x=-4$

<h3>Answer: x = -4.</h3>

7 0

2 years ago

While sailing, Jacob is 150 feet from a lighthouse. The angle of elevation from his feet on the boat (at sea level) to the top o

Vlada [557]

Answer:

The height of the lighthouse is approximately 166.6 feet.

Step-by-step explanation:

Let the height of the lighthouse be represented by s, then;

Tan 48° = (opposite) ÷ (adjacent)

Tan 48° = s ÷ 150

⇒ s = 150 × Tan 48°

= 150 × 1.1106

= 166.59

s ≅ 166.6 feet

Therefore, the height of the lighthouse is approximately 166.6 feet.

7 0

3 years ago

You need to rent a bowling lane. On Friday nights, you have two options. Option A is a $20 lane rental plus $3 per game. Option

ExtremeBDS [4]

For 5 games, the cost will be equal for each option.

Step-by-step explanation:

Given,

Lane rental of offer A = $20

Per game charges = $3

Let,

x be the number of games.

A(x) = 3x + 20

Lane rental is $35 for maximum 10 games.

B(x) = 35

For the cost to be same;

A(x) = B(x)

$3x+20=35\\3x=35-20\\3x=15$

Dividing both sides by 3

$\frac{3x}{3}=\frac{15}{3}\\x=5$

For 5 games, the cost will be equal for each option.

Keywords: function, division

Learn more about functions at:

#LearnwithBrainly

6 0

3 years ago

How do you solve - (4n + 5y + 6)

slamgirl [31]

Answer:

-4n + 5y + 6

Step-by-step explanation:

Distribute the negative

−4n + 5y + 6

There is really no answer for this but all you have to do is to multiply the figures outside the bracket by the ones inside the brackets.

4 0

3 years ago

What is...<br><br> 5. 984<br> 4.761<br> +670

Nostrana [21]

680.745 that's easy

4 0

3 years ago

Read 2 more answers