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4 years ago

Rosalie and Emmet are having a disagreement. Rosalie thinks a line can have a line of symmetry, while Emmet

Mathematics

2 answers:

Dvinal [7]4 years ago

8 0

Answer:

Rosalie is correct, a line can have a line of symmetry.

Step-by-step explanation:

If you draw a line, a line of symmetry to that line would be perpendicular to the original line. Because lines are straight, they have an infinite number of lines of symmetry.

nikklg [1K]4 years ago

5 0

A line totally can have a line of symmetry. while it does not have width (therefore cannot put the line of symmetry through its "width"), it does have a length like any other shape. If we take a 4 unit line, we could put the line of symmetry at the 2 unit mark.

^sorry, im rushing a bit so you might have to paraphrase !

You might be interested in

Anyone want to help with this problem

emmasim [6.3K]

Answer:

$2643.06

Step-by-step explanation:

Total purchase = $2436 + 8.5% of $2436

= $2436 + (0.085 * 2436)

= $2436 + $207.06

= $2643.06

5 0

3 years ago

Suppose that prices of a certain model of a new home are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule t

levacccp [35]

Answer:

68% of buyers paid between $147,700 and $152,300.

Step-by-step explanation:

We are given that prices of a certain model of a new home are normally distributed with a mean of $150,000.

Use the 68-95-99.7 rule to find the percentage of buyers who paid between $147,700 and $152,300 if the standard deviation is $2300.

Let X = prices of a certain model of a new home

SO, X ~ Normal( $\mu=150,000 ,\sigma=2,300$ )

The z score probability distribution for normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean price = $150,000

$\sigma$ = standard deviation = $2,300

Now, according to 68-95-99.7 rule;

Around 68% of the values in a normal distribution lies between $\mu-\sigma$ and $\mu-\sigma$ .

Around 95% of the values occur between $\mu-2\sigma$ and $\mu+2\sigma$ .

Around 99.7% of the values occur between $\mu-3\sigma$ and $\mu+3\sigma$ .

So, firstly we will find the z scores for both the values given;

Z = $\frac{X-\mu}{\sigma}$ = $\frac{147,700-150,000}{2,300}$ = -1

Z = $\frac{X-\mu}{\sigma}$ = $\frac{152,300-150,000}{2,300}$ = 1

This indicates that we are in the category of between $\mu-\sigma$ and $\mu-\sigma$ .

SO, this represents that percentage of buyers who paid between $147,700 and $152,300 is 68%.

7 0

3 years ago

15×30

Rudiy27

Answer:

6 people had blue eyes

45 miles

15 crayons

15 pages

Step-by-step explanation:

Q: There were 30 people in a room. One-fifth of the people had blue eyes. How many people had blue eyes.

A: total number of people x 1/5 = 30 x 1/5 = 6

Q: Evan's mother drove 30 miles on Wednesday and another 15 mile on Wednesday. How many miles did she drive in all?

A: total miles = 30 + 15 = 45 miles

Q: Jada had 30 crayons. She lost 15 of the crayons. How many crayons does she have left?

A: total number of crayons - number lost = 30 - 15 = 15 crayons left

Q: Amelie read 30 pages of a book. She read 15 of the pages on Monday. How many pages did she read on Monday?

A: 15 pages, as the question states "She read 15 of the pages on Monday"

5 0

2 years ago

Read 2 more answers

The base of a triangle is one third as long as its height. if the area of the triangle is 6 square meters, how long is its base

KIM [24]

The answer is:  " 2 m" .
________________________________________
Explanation:
_________________________________________
The formula for the area, "A" , of a TRIANGLE is:
_________________________________________
A = (1/2) * b * h ; or, write as: " A = (b * h) / 2 " ;
_________________________________________
in which: A = area of triangle;
b = length of base;
h = [perpendicular] height .
_________________________________________
We are given: "b = 1/3 h = h/3" ;
"A = 6 m²: "

We are asked to solve for "b" ;

So: "A = ( b * h) / 2 " ;

→ Re-arrange the equation to isolate "b" on one side of the equation ;

→ "A = ( b * h) / 2 " ; ;

Multiply EACH SIDE of the equation by "2" ;
→ 2 * A = { ( b * h) / 2 } * 2 " ;

to get:

→ 2A = b * h ;

↔ b * h = 2A ;

NOTE: Calculate "2A" ; as follows: " 2A = 2* 6 m² = 12 m² " ;

→ b * h = 12 m² ;

Note: "b = h/3 " ;

So rewrite:

→ "b * h = 12 m² ;

as: (h/3) * h = 12 m² ;

→    $\frac{h}{3}$ * $\frac{h}{1}$ = 12 m² ;

→ $\frac{(h*h)}{(3*1)} = \frac{h^2}{3} =$ = 12 ;

→ Now, we can solve for "h" ; {and then, solve for "b" }..
___________________________________________________
We have: \frac{h^2}{3} = [/tex] = 12
______________________________________________________
  → h² = 12 * 3 ;

→ h² = 36 ;

Now, take the positive square root of EACH SIDE of the equation;
to isolate "h" on one side of the equation; & to solve for "h" ;

  → +√(h²) = +√36 ;

  → h = 6 m ;

Now, we can solve for "b" ;

b = h / 3 = 6 m / 3 = 2 m .

→ b = 2 m .
________________________________________

The answer is: " 2 m" .
________________________________________
Let us check our answer:
________________________________________
A = (b * h) / 2 ;

→ 6 m² = ? (2 m * 6 m) / 2 ?? ;

  → 6 m² = ? (12 m²) / 2 ?? Yes!
________________________________________

3 0

4 years ago

How do you factor b^2-81

Naddik [55]

The middle number is 0 and the last is -81Factoring means we want something like(b+_)(b+_)We need two numbers that add together to get and Multiply to get -81which are 9 and -9:9+-9 = 0 and 9*-9 = -81
Fill in the blanks in
(b+_)(b+_)
with 9 and -9 to get...(b+9)(b−9)
The answer is : (b+9)(b−9)

7 0

3 years ago