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3 years ago

What relationship is formed by a line of symmetry and the line between opposite points in the symmetry

Mathematics

1 answer:

Anettt [7]3 years ago

6 0

Answer:

A line of symmetry and the line between opposite points in the symmetry are perpendicular to each other.

Explanation:

A line of simmetry splits the figure into two identical halves.

Suppose you have a symmetrical plane figure (like a square or a circle), the line of symmetry divides such figure in two sides: call them the left side and the right side.

The reflection of each point on the right side is a point on the left side along the perpendicular line that joins the two points and the line of symmetry.

For instance, if the line of symmetry is vertical, such as the x-axis, the line between the opposite points in the symmetry is horizontal, i.e. perpendicular to the x-axis (the line of summetry).

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At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, $P_0=15$

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

$P(x)=P_0(1+r)^x$

now, we can plug values

$P(x)=15(1+0.4142)^x$

$P(x)=15(1.4142)^x$

Average rate of change between 2 years and 4 years:

we can use formula

$A_1=\frac{P(4)-P(2)}{4-2}$

now, we can plug values

$A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}$

$A_1=14.99914$

Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

Average rate of change between 6 years and 8 years:

we can use formula

$A_3=\frac{P(8)-P(6)}{8-6}$

now, we can plug values

$A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}$

$A_3=59.99425$

now, we will check each options

option-A:

we can see that

$A_3-A_2=30$

So, this is FALSE

option-B:

$A_1=\frac{1}{2}A_2$

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

$A_1=\frac{1}{2}A_2$

so, this is FALSE

5 0

3 years ago

Please help .......................

Sholpan [36]

Answer: slide the triangle to the right 3 times and down 1

Step-by-step explanation:

3 0

3 years ago

Jorge owes his father $60. After raking the lawn for the month, he has paid him $12, $8, and $9. How much money does Jorge still

Marat540 [252]

12 + 8 + 9 = 29

60 - 29= 31

Jorge owes his father $31

4 0

3 years ago

Describe in detail how you would create a number line with the following points: 4, 1.25, the opposite of 3, and – (–2 fraction

KatRina [158]

Answer:

Read below

Step-by-step explanation:

(2)2(−4)3. (2)3 +(−4)2. Substitute 2 for x and −4 for y. 4(−64). 8+16. = −256 ... An equation is a term used to describe a collection of numbers and variables related ... gives us a set of coordinate points that we can plot to create a graph of the function. ... The tick-marks on the number line represent evenly spaced integers.

5 0

3 years ago

Read 2 more answers

1) Given h(x)=x-5 a) Determine h^2 b)determine h^3

ElenaW [278]

Answer:

A) x^2-10x+25 B)X^3-15x^2+75x-125

Step-by-step explanation:

H^2=(x-5)(x-5)=x^2-10x+25

H^3=(x-5)(x-5)(x-5)=X^3-15x^2+75x-125

6 0

3 years ago