State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement

State Whether Or Not The Following Triangles Are Similar. If Not, Explain Why Not. If So, Write A Similarity

Answers

Answer 1

9514 1404 393

Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

  NC/RL = 45/30 = 3/2

__

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.


Related Questions

Mother put 22 apples in each basket. How many baskets did she use for 390 apples ?

Answers

18 baskets, if you divide regularly it will be a remainder, however the extra apples still need a basket so the answer is 18

Statements apply to the expression 8^3 ?check all that apply

Answers

Answer: So, 8%3 = 2

Step-by-step explanation:

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another needed question!: https://brainly.com/question/23040227

Answers

Answer:

Rhombus Square

Step-by-step explanation:

The length of a rectangle is 3ft less than double the width, and the area of the rectangle is 14ft^2 find the dimensions of rectangle.

Answers

Answer: [tex]4\times 3.5\ ft^2[/tex]

Step-by-step explanation:

Given

area of the rectangle is [tex]A=14\ ft^2[/tex]

Suppose width is given by w

So, length is [tex]l=2w-3[/tex]

The area of a rectangle is [tex]A=l\times w[/tex]

putting values

[tex]\Rightarrow A=(2w-3)w\\\Rightarrow 14=2w^2-3w\\\Rightarrow 2w^2-3w-14=0\\\Rightarrow 2w^2-7w+4w-14=0\\\Rightarrow w(2w-7)+2(2w-7)=0\\\Rightarrow (2w-7)(w+2)=0\\\\\Rightarrow w=\dfrac{7}{2}\ ft[/tex]

length is [tex]l=4\ ft[/tex]

Mhanifa can you please help me with this? It’s due ASAP! Look at the picture attached. I will mark brainliest!

Answers

Answer:

8) 76°9) 88°

Step-by-step explanation:

Sum of exterior angles of any polygon is 360°Exercise 8

Sum of given angles:

2x + 60° + 64° + 36° + 48° = 360°2x + 208° = 360°2x = 360° - 208°2x = 152°x = 76°Exercise 9

Sum of given angles:

x + 90° + 109°+ 73° = 360°x + 272° = 360°x = 360° - 272°x = 88°

The starting salary of a starting teacher is $40,000, which will increase by 2% each year

What is the multiplier (growth factor) for this scenario?

1. .02
2. 1.02
3. 2
4. 1.2

Answers

Answer:

Choice B - (1.02)

Step-by-step explanation:

With the teachers starting salary being $40,000, we can rightfully assume that it their salary would not increase with Choice A, $40,000 * 0.2 = $800.

2% otherwise known as 0.02, would make the teachers yearly salary $40,000 * 1 + 0.02, or $40,000 * 1.02. Making the correct answer, Choice B - (1.02). (This would also give the teacher an additional $800 per year!)

a manufacturer is designing a new container for their chocolate-covered almonds. Their original container was a cylinder with the height of 18 cm and a diameter of 14 cm. the new container can be modeled by a rectangular prism with a square base and will contain the same amount of chocolate-covered almonds. if the new container's height is 16 cm, determine and state, to the nearest tenth of a centimeter, the side length of the new container if both containers contain the same amount of almonds

Answers

Answer:

answer is 24

Step-by-step explanation:

The side length of the rectangular prism with a square base is 13.2 cm if the original container was a cylinder with the height of 18 cm and a diameter of 14 cm.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

The radius of the cylinder r = 14/2 = 7 cm

The volume of the cylindrical container V = π(7)²(18) = 882π cubic cm

Let's suppose the side length is L:

Then the volume of the rectangular prism is the same as the cylindrical container:

882π = L×L×16       (h = 16 cm)

882π = 16L²  

L = 13.15 ≈ 13.2 cm

Thus, the side length of the rectangular prism with a square base is 13.2 cm if the original container was a cylinder with the height of 18 cm and a diameter of 14 cm.

Learn more about the cylinder here:

brainly.com/question/3216899

#SPJ2

3. The experimental probability that Cindy will catch a fly ball is equal to 3. About what percent of the time will 7 Cindy catch a fly ball?

Answers

Correct question:

The experimental probability that Cindy will catch a fly ball is equal to 3/7. About what percent of the time will Cindy catch a fly ball?

Answer:

42.9%

Step-by-step explanation:

Given that:

Experimental probability of catching a fly is 3/7

This can be interpreted as : Out of 7 tries, Cindy caught a fly only 3 times

Expressing this as a percentage :

3/7 * 100%

0.4285714 * 100%

42.857%

= 42.9%

Hence, Cindy will catch a fly at about 42.9% of the time

What is the value of g^-1(7)? PLEASE HELP!!! I’ll give brainliest!!

Answers

Answer: g-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 is the correct answer

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Answers

Step-by-step explanation:

I really want to help you but there's no question.

Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:

Answers

Answer:

Venn is the circles and the tree is the green one (ignore the other thing on tree)

Help, help, help! Quick Answer, please!

Answers

Answer:

3. 102

4. c

Step-by-step explanation:

For number 3:

(c^2 - a) + b becomes (10^2 - 3) + 5

10^2 = 100

100 - 3 + 5 = 102

For number 4:

Usually when you see distributive property, you're multiplying into parentheses. This time you're factoring out.

20c - 8d

It's not a, because that would be 20c + 8d

It's not b, because that would be 20c -32d

It is c, because 4 x 5c = 20 c and 4 x -2d = -8d

It's not d, because that would be 20c- 8cd

Reduce: [(p → q)] ∧ q] ∧ [(q → p) ∧ p]

Answers

what? bro I am confused is this a question?

Two numbers have a sum of 49, and 4 TIMES the first number MINUS the second number is EQUAL to 141. What are the two numbers?

Answers

Answer:

I got 38 and 11

Step-by-step explanation:

(5)
A plane contains the points A(1, 2, 8), B(-2, 3, 6), and C(5,-1, 4).
(a) Determine 2 vectors parallel to the plane.
(b) Determine 2 vectors perpendicular to the plane.
(C) Write a vector equation of the plane.
(d) Write a scalar equation of the plane.
(e) Determine if the point D(-7, 4, 0) is contained in the plane.
(f) Write an equation of the line through the y and z intercepts of the plane.

Answers

Answer:

7

Step-by-step explanation:

Tony borrows $7,000 from a friend
at a rate of 5% interest for 4 months.
What is the total that needs
to be repaid after this time
to the nearest dollar?

Answers

Answer:

5%100 ×R200

Step-by-step explanation:

Address and u the one for me please

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A box contains 12 cereal bars. The empty box weighs 1.75 oz. The box and cereal bars together weighs 18.55 oz. How much does each cereal bar weigh?

Answers

Answer:

Each cereal bar weighs 16.8 oz

Step-by-step explanation:

Multiply 12 times 1.4 to get 16.8

Add 16.8 and 1.75 to get 18.55

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A line segment has endpoints S(-9,-4) and T(6,5). Point R lies on ST such that the ratio of SR to RT is 2:1. What are the coordinates of point R?

Answers

Answer:

Coordinates of R = (1,2)

Step-by-step explanation:

Let the coordinate of R be (x, y)

Since coordinates of S and T are S(-9,-4) and T(6,5). Then we can use the Formula for length of line from coordinates to find coordinates of R since SR/RT = 2/1

Thus; 1(S) = 2(T)

Coordinates of R = [(1(-9) + 2(6))/(1 + 2)], [(1(-4) + 2(5))/(1 + 2)

Coordinates of R = (3/3), (6/3)

>> (1, 2)

What is the equation, in slope-intercept form, of the line that contains the points (3, -4) and (5, -6)? A. y = -x - 1 B. y = -x + 1 C. y = x - 1 D. y = x + 1

Answers

Answer:

Hi! The answer to your question is A. [tex]y=-x-1[/tex]

Step-by-step explanation:

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Hope this helps!!

- Brooklynn Deka

Answer:

a

Step-by-step explanation:

Lucy’s house is located at the point shown on the coordinate grid. Ainsley’s house is located 2 units right and 3 units down from Lucy’s house. Plot a point on the coordinate grid to represent the location of Ainsley’s house. What ordered pair represents the location of Lucy’s house

Answers

Answer: 3,3

Step-by-step explanation:

Help pleaseeeeeeeeeeeeeeeeeee

Answers

Answer-D 15
Explanation

what divided by 3/7=7/15

Answers

Answer:

45/49

decimal form:

0.91836734

Step-by-step explanation:

What is the five- number summary of the following data set

52,53,55,59,60,64

Answers

The answer would be A. What we notice is the first, third, fourth, and fifth numbers are all the same in each set. But since the middle of 53 and 55 is 54; answer choice A would be correct.

Andy has $ 200 to buy a new TV . One- forth of that money came from his grandmother and he saved the rest . How much money did Andy save?

Answers

Answer and working out attached below. Hope it helps

Answer:

$150

Step-by-step explanation:

200/4=50

200-50=150

Please help if you wantbbrainleist! :(

Answers

Box 2 I believe is correct because 3 x 1 x 2 is 6.

Hang was trying to factor 10x^2 + 5x she found that the greatest common factor of these terms was 5x and made an area model what is the width of the area model

Answers

Width of Heng's area model is  2x + 1

Step-by-step explanation:

Given:

Greatest common factor is 5x

To Find:

The width = ?

Solution:

let the  be the area

And  5x be the length

Then area  = length  x  width

Now rewriting the formula for width, we get

Width =  

Substituting the values in the above formula

Width =

Width = 2x + 1

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Answers

Answer:

c

Step-by-step explanation:

Need help in proving theorems of square please ASAP ​

Answers

Answer:

The length of [tex]\overline{JO}[/tex] is 48.

Step-by-step explanation:

A square is a quadrilateral whose four sides have the same length and four internal angles have the same measure. The sum of measures of internal angles in quadrilaterals equals 360°. Let [tex]m\,\angle BOJ = 4\cdot x -6[/tex] and [tex]BO = 2\cdot x - 8[/tex], the value of [tex]x[/tex] is:

[tex]4\cdot (4\cdot x - 6) = 360^{\circ}[/tex]

[tex]16\cdot x -24 = 360^{\circ}[/tex]

[tex]16\cdot x = 384^{\circ}[/tex]

[tex]x = 24[/tex]

And the length of [tex]JO[/tex] is:

[tex]JO = BO = 2\cdot x - 8[/tex]

[tex]JO = 40[/tex]

The length of [tex]\overline{JO}[/tex] is 48.

anyone know this or can help pls

Answers

Answer:

A pyramid

Step-by-step explanation:

i need help please thanks​

Answers

Answer:

33

Step-by-step explanation:

6 * 3 = 18

8-3 = h

h = 5

A = 5 * 3 = 15

Combined:

15 + 18

33

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