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2 months ago

Guest #9530

2 months ago

If two **polygons **are similar, then the corresponding sides are **proportional **and the corresponding angles are congruent. Option B is correct.

In **congruent geometry**, the shapes that are so **identical**. can be superimposed to themselves.

A **polygon **is defined as a **geometric shape **that is composed of 3 or more sides these sides are equal in length, and an equal **measure **of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,

Since if two polygons are similar it is only possible if their sides are proportional or equal and angles are also congruent or equal. So, all the options are incorrect except option B.

Thus, If two **polygons **are similar, then the **corresponding **sides are proportional and the corresponding angles are congruent. Option B is correct.

Learn more about **congruent geometry **here. brainly.com/question/12413243

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Guest #9531

2 months ago

**Answer:**

If two polygons are similar, then the corresponding sides are proportional and the corresponding angles are congruent.

**Step-by-step explanation:**

Question

Calculate the length of the line segment round to the nearest whole number 6,6 and -2,-3

Solution 1

It is 14 because 8= 6to-2 and 3to-3is 6 so both together is 14

hope this helps

hope this helps

Question

What are the factors of m2 – 6m + 6m – 36? (m – 2)(m + 18) (m – 3)(m + 3) (m – 4)(m + 9) (m – 6)(m + 6)

Solution 1

**Answer:**

**Step-by-step explanation:**

we have

Simplify

we know that

In a difference of square

Remember that

therefore

Solution 2

(m – 6)(m + 6) is the answer.

If you distribute them, you'll get m^2 - 36

If you distribute them, you'll get m^2 - 36

Question

Mr zucco baked a total of 270 cupcakes and muffins. After ue sold 1/3 of the cupcakes and baked 18 more miffins, he had twice as many cupcakes as muffins. How many cupcakes and muffins did mr. Zucco bake to begin with?

Solution 1

Let cupcakes = c and muffins = m.

c + m = 270

After 1/3 of cupcakes are sold (leaving 2c/3) and 18 more muffins are baked (m + 18), there are twice as many cupcakes as muffins:

2c/3 = 2(m + 18)

2c/3 = 2m + 36

c = 3m + 54

Substituting into the original equation:

3m + 54 + m = 270

4m = 216

m = 54 muffins

c = 3(54) + 54 = 216 cupcakes

c + m = 270

After 1/3 of cupcakes are sold (leaving 2c/3) and 18 more muffins are baked (m + 18), there are twice as many cupcakes as muffins:

2c/3 = 2(m + 18)

2c/3 = 2m + 36

c = 3m + 54

Substituting into the original equation:

3m + 54 + m = 270

4m = 216

m = 54 muffins

c = 3(54) + 54 = 216 cupcakes

Question

20 out of 45 students attend the concert;12 out of 25 students attend the concert

Solution 1

13 students went to the concert

Question

two lengths of stereo wire total 32.5 ft. one length is 2.9ft longer than the other. how long is each length of wire?

Solution 1

The length of the long one is half the total plus half the difference:

(1/2)(32.5 +2.9) ft = 17.7 ft

The length of the short one is 2.9 ft less:

17.7 ft -2.9 ft = 14.8 ft.

_____

If you like, you can write an equation for the length of the long wire (L).

L +(L -2.9) = 32.5 . . . . . . . total length of both wires

2L = 32.5 +2.9 . . . . . . . . . simplify, add 2.9

L = (1/2)(32.5 +2.9) . . . . . looks a lot like the solution above.

(1/2)(32.5 +2.9) ft = 17.7 ft

The length of the short one is 2.9 ft less:

17.7 ft -2.9 ft = 14.8 ft.

_____

If you like, you can write an equation for the length of the long wire (L).

L +(L -2.9) = 32.5 . . . . . . . total length of both wires

2L = 32.5 +2.9 . . . . . . . . . simplify, add 2.9

L = (1/2)(32.5 +2.9) . . . . . looks a lot like the solution above.

Question

Suppose u=⟨2,−2u=⟨2,−2⟩ and v=⟨6,2⟩v=⟨6,2⟩ are two vectors that form the sides of a parallelogram. then the lengths of the two diagonals of the parallelogram are

Solution 1

91.7

44.6

is the answer

44.6

is the answer

Question

There are five green marbles numbered 1-5 and there are 4 yellow marbles numbered 1-4. what is the probability of picking a green or odd numbered marble

Solution 1

5+4=9

Question

Use the given information to find the indicated probability. a and b are mutually exclusive. p(a) = .8, p(b) = .1. find p((a ∪ b)').

Solution 1

If and are mutually exclusive, then

Then .

Then .

Question

The length of a rectangle is a two-digit number with identical digits (aa). the width is 1/10 of the length. the perimeter is 2 times the area of the rectangle. find the length and the width.

Solution 1

L = 10a + a

L = 11 a

W = 1/10 (11a)

W = 1.1 a

Perimeter = 2(L + W)

Perimeter = 2*(11a + 1.1a)

Perimeter = 22a + 2.2 a

Perimeter = 24.2 a

Area = L * W

Area = 11a * 1.1a

Area = 12.1 a^2

The perimeter is 2*area

P = 2*A

P = 2* 12.1 a^2

P = 24.2 a^2

Now put in the perimeter on the left side of the above equation.

24.2a = 24.2 a^2 Divide both sides by 24.2

1 a = a^2 Divide by a

1 = a

The length = 11*a = 11*1 = 11

The Width = 1.1 a = 1.1 * 1 = 1.1

Answers

L = 11 <<<<<<< answer

W = 1.1 <<<<<< answer

L = 11 a

W = 1/10 (11a)

W = 1.1 a

Perimeter = 2(L + W)

Perimeter = 2*(11a + 1.1a)

Perimeter = 22a + 2.2 a

Perimeter = 24.2 a

Area = L * W

Area = 11a * 1.1a

Area = 12.1 a^2

The perimeter is 2*area

P = 2*A

P = 2* 12.1 a^2

P = 24.2 a^2

Now put in the perimeter on the left side of the above equation.

24.2a = 24.2 a^2 Divide both sides by 24.2

1 a = a^2 Divide by a

1 = a

The length = 11*a = 11*1 = 11

The Width = 1.1 a = 1.1 * 1 = 1.1

Answers

L = 11 <<<<<<< answer

W = 1.1 <<<<<< answer

Question

You are traveling to Chicago for a job interview. You leave Toledo, Ohio, at 5:45 A.M. and arrive in Elkhart, Indiana, at 8:15 A.M.. The distance from Toledo to Elkhart is 136 miles; the distance from Toledo to Chicago is 244 miles. The speed limit is 65 mph. What is the minimum speed you must maintain in order to arrive in Chicago before 10:30 A.M.

Solution 1

The minimum speed will be calculated as follows:

Time taken from Toledo to Elkhart=(8.15-5.45)=2 1/2 hours

Distance=136 miles

thus the speed between Toledo and Elkhart= 136 miles/2.5=54.4 mph

Distance between Toledo and Chicago is 244 miles

Distance between Elkhart and Chicago=244-136=108 miles

time taken to travel between Elkhart and Chicago assuming that I left Elkhart at exactly 8:15 and reach at 10.30:

=10:30-8:15=2.25 hours

thus the speed will be:

speed=(108)/(2.25)=48 mph

Thus for us to get to Chicago by 10:30 a.m we should drive at 48 mph

Time taken from Toledo to Elkhart=(8.15-5.45)=2 1/2 hours

Distance=136 miles

thus the speed between Toledo and Elkhart= 136 miles/2.5=54.4 mph

Distance between Toledo and Chicago is 244 miles

Distance between Elkhart and Chicago=244-136=108 miles

time taken to travel between Elkhart and Chicago assuming that I left Elkhart at exactly 8:15 and reach at 10.30:

=10:30-8:15=2.25 hours

thus the speed will be:

speed=(108)/(2.25)=48 mph

Thus for us to get to Chicago by 10:30 a.m we should drive at 48 mph

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