When a line of symmetry divides an image, every point on one side of the line has a corresponding point on the other side. True or False?

Answers

Answer 1
Answer:

When a line of symmetry divides an image, every point on one side of the line has a corresponding point on the other side is true.

To find true/false When a line of symmetry divides an image, every point on one side of the line has a corresponding point on the other side.

What is meant by line of symmetry?

A line of symmetry is a line that cuts a shape exactly in half.

A line of symmetry divides a design so that every point on one side of the line coincides with a point on the other side of it.  There are figures and shapes that can have more than one lines of symmetry. A circle has infinite lines of symmetry. Likewise, a triangle has three lines of symmetry, while rectangle and square have four such lines which divide them into identical parts.

so, a line of symmetry divides an image, every point on one side of the line has a corresponding point on the other side is true.

Learn more about the  line of symmetry here:

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Answer 2
Answer: The answer would be:

True.

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Laura and Sean find the product of 2/3 x 4 using different methods.Laura: It’s 2 thirds of 4.
2/3 x 4 = 4/3 + 4/3 = 2 x 4/3 = 8/3

Sean: It’s 4 groups of 2 thirds.
2/3 + 2/3 + 2/3 + 2/3 = 4 x 2/3 = 8/3

Use words, pictures, or numbers to compare their methods.

Answers

Answer: So our equation is (2)/(3) *4

Laura does:

(2)/(3)*4 = 2*(1)/(3)  *4 = 2*(4)/(3)  = (4)/(3) + (4)/(3)  = (8)/(3)

while Sean does:

(2)/(3)*4 = (2)/(3) + (2)/(3) +(2)/(3)  + (2)/(3)  = (8)/(3)

So sean sums four times the number 2/3, while Laura sums two times the number 4/3, this is because we are working with a multiplication, and the order of the factors does not alter the product.

The two are splitting the equations in different ways.

Both Laura and Sean arrive at the same answer of 8/3 by using different methods.

Laura starts by multiplying 2/3 by 4 to find the total amount of 2/3 in 4 units.

Sean starts by finding the total amount of 2/3 in one group and then multiplying that amount by the number of groups, 4.

Both methods lead to the same answer, so it doesn't matter which method is used. The important thing is that the answer is correct.

2. Find the value of x to the nearest tenth.a. 4.5
b. 5.4
c. 6.3
d. 7.2

3. Find the value of x.
a. 7
b. 7.5
c. 8
d. 8.5


4. FG ⊥ OP, RS ⊥ OQ. FG=40, RS=40, OP=15. Find x.
a. 15
b. 17
c. 20
d. 21


5. Find the value of x to the nearest tenth.
a. 7.5
b. 7.9
c. 8.1
d. 8.9

Answers

Answer:

Part 2) Option b. 5.4

Part 3) Option c. 8

Part 4) Option a. 15

Part 5) Option d. 8.9

Step-by-step explanation:

Part 2) Find the value of x to the nearest tenth

we know that

x is the radius of the circle

Applying the Pythagoras Theorem

x^(2)=3.6^(2)+(8/2)^(2)

x^(2)=28.96

x=5.4\ units

Part 3) Find the value of x

In this problem

x=8

Verify

step 1

Find the radius of the circle

Let

r -----> the radius of the circle

Applying the Pythagoras Theorem

r^(2)=8^(2)+(15/2)^(2)

r^(2)=120.25

r=√(120.25)

step 2

Find the value of x

Applying the Pythagoras Theorem

r^(2)=x^(2)+(15/2)^(2)

substitute

120.25=x^(2)+56.25

x^(2)=120.25-56.25

x^(2)=64

x=8\ units

Part 4) Find the value of x

In this problem

x=OP=15

Verify

step 1

Find the radius of the circle

Let

r -----> the radius of the circle

In the right triangle FPO

Applying the Pythagoras Theorem

r^(2)=15^(2)+(40/2)^(2)

r^(2)=625

r=25

step 2

Find the value of x

In the right triangle RQO

Applying the Pythagoras Theorem

25^(2)=x^(2)+(40/2)^(2)

625=x^(2)+400      

x^(2)=625-400

x^(2)=225

x=15\ units

Part 5) Find the value of x

Applying the Pythagoras Theorem

6^(2)=4^(2)+(x/2)^(2)

36=16+(x/2)^(2)

(x/2)^(2)=36-16

(x/2)^(2)=20

(x/2)=4.47

x=8.9

The sum of the squares of three consecutive positive even numbers is 12296. Find the product of the three numbers divided by 8.

Answers

Answer:

x² + (x + 2)² + (x + 4)² = 12,296

x² + x² + 4x + 4 + x² + 8x + 16 = 12,296

3x² + 12x + 20 = 12,296

3x² + 12x = 12,276

x² + 4x = 4,092

x² + 4x + 4 = 4,096

(x + 2)² = 4,096

x + 2 = 64

x = 62

The numbers are 62, 64, and 66.

(62 × 64 × 66) ÷ 8 = 32,736

What number is 400 greater than 32,518? Show work.

Answers

If i'm correct, the answer should be 32,918 because 5+4=9 and thus, 32,518+400=32,918

Can someone help me please​

Answers

Neither, they both have the same amount of battery.

Explanation: Stella is 4/6 charged. Stanley is 2/3 charged. When 4/6 is reduced, the equivalent fraction is 2/3.

Answer:

the battery is equivalent, if that is not a choice I would go with stanly

5. L1. Tisha collects old books. She has
2 shelving units, and each shelving
unit has 3 shelves. Each shelf holds
12 books. If both shelving units are
filled with books, how many books
does Tisha have in all​

Answers

Tisha have 72 books in all.

Step-by-step explanation:

Given,

Number of shelving units = 2

One shelving unit has 3 shelves.

2 shelving units will have = 3*2 = 6 shelves

Books hold by each shelf = 12 books

Books hold by 6 shelves = 12*6 = 72 books

As the shelves are filled with books, therefore,

Tisha have 72 books in all.

Keywords: multiplication

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