All categories

3 years ago

I need helps pls :)

Mathematics

1 answer:

nadya68 [22]3 years ago

4 0

In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a vertex and the half of the opposite side.
Step-by-step explanation:
This is equivalent to say that a perpendicular bisector of a side of the regular polygon bisects the angle of the opposite vertex to the side, and divide the polygon into two symmetrical parts.

You might be interested in

What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2

klio [65]

$y = - 2x + 53x - 4y = 2 \\ y = 51x - 4y = 2 \\ > y = 51 x - 4y \\ > 51x - 4y = 2$
$y = 51x - 4y \\ 5y = 51x \\ y = \frac{51}{5} x$
Substitute 51/5x into
$51x - 4( \frac{51}{5} x) = 2 \\ 51x - 40.8x = 2 \\ 10.2x = 2 \\ x = 2 \times \frac{10}{102} \\ x = \frac{10}{51} \: aka \: 0.196$
Substitute that into
$y = \frac{51}{5} \times \frac{10}{51} \\ y = 2$
Hope this helps. Answer should be correct. Unless your quadratic equation is wrongly stated.

8 0

3 years ago

8 Leandra's fastest time for the 400 m is 70 seconds. In his next race he improves by

disa [49]

8) a) The new fastest time is 56.7 seconds, b) The overall percentage improvement is 19 %.

9) The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

<h3>How to apply percentages in real life applications</h3>

In this problem we have two examples from real life, in which percentages are used. The first is the distance traveled by a runner in a given time and the second is the growth of a person in time. Change in variables based on percentages are described by the following formula:

C' = C · (1 + r / 100) (1)

Where:

C - Initial value
C' - Final value
r - Percentage of change.

Now we proceed to resolve on each case. 8) a) Please notice that the runner must cover the trail in less time and percentage time must be negative. If we know that C = 70 and r = - 10, then his new fastest time is:

C' = 70 · (1 - 10 / 100)

C' = 70 · 0.90

C' = 63

And again: (C' = 63, r = - 10)

C'' = 63 · (1 - 10 / 100)

C'' = 63 · 0.90

C'' = 56.7

The new fastest time is 56.7 seconds.

b) And the overall percentage improvement is:

r = (|C'' - C| / C) × 100 %

r = (|56.7 - 70| / 70) × 100 %

r = 19 %

The overall percentage improvement is 19 %.

9) If we know that C = 1.25 and r = 10, then the height next year is:

C' = 1.25 · (1 + 10 / 100)

C' = 1.375

And again: (C' = 1.375, r = 12)

C'' = 1.375 · (1 + 12 / 100)

C'' = 1.54

The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

To learn more on percentages: brainly.com/question/13450942

#SPJ1

3 0

2 years ago

The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees

Radda [10]

Answer:

Smallest angle = 40

Step-by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180 {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

7x + 19 = 180 {Subtract 19 from both sides}

7x = 180 - 19

7x = 161 {Divide both sides by 7}

x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Smallest angle = 40

8 0

3 years ago

Slove for x: x+1/3=1/4

lana [24]

Hey!

To solve this problem, we must subtract one over three from both sides of the equation. This will give us x on its own.

Original Equation :
$x + \frac{1}{3} = \frac{1}{4}$

New Equation {Added Subtract $\frac{1}{3}$ to Both Sides} :
$x + \frac{1}{3} - \frac{1}{3} = \frac{1}{4} - \frac{1}{3}$

Solution {New Equation Solved} :
$x=- \frac{1}{12}$

So, this means that in the equation provided, $x=- \frac{1}{12}$ .

Hope this helps!

- Lindsey Frazier ♥

6 0

3 years ago

Mia can finish her math homework in 30 minutes. Every night there are 45 problems for homework. How many problems can she finish

den301095 [7]

I believe that it would be 75

8 0

3 years ago