state if the triangles in each pair are similar, if so state how you know they are similar.

Answers

Answer 1

Answer:

Looking at both triangles, angle P in triangle PQR = 38 degrees. Angle N in triangle LMN = 38 degrees. Both angles are equal.

Side PQ in triangle PQR = 16

Side MN in triangle LMN = 8

Therefore,

PQ/MN = 16/8 = 2

Side PR in triangle PQR = 14

Side LN in triangle LMN = 7

Therefore,

PR/LN = 14/7 = 2

Therefore, triangle PQR is similar to

triangle LMN because

1) the length of PQ is proportional to the length of MN.

2) the length of PR is proportional to the length of LN

3) angle P = angle N

4) Therefore, QR is also proportional to ML

Therefore,

PQ/MN = PR/LN = QR/ML = 2

Step-by-step explanation:

Answer 2

The pair of the first two triangles are not similar triangles, while the pair of the next two triangles are similar triangles.

What are similar triangles?

If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar. To put it another way, comparable triangles are similar in shape but not necessarily in size. In addition, the triangles are congruent if their corresponding sides are of identical length.

As it we know that for the two triangles to be similar triangles, the ratio of their corresponding sides should be the same.

A.) In the first pair of triangles,

For the first pair of triangles to be similar,

[tex]\dfrac{US}{UD}=\dfrac{UT}{UE}=\dfrac{ST}{DE}[/tex]

The above ratio should be similar, but since we can see that the ratio,

[tex]\dfrac{US}{UD}\neq \dfrac{UT}{UE}[/tex]

[tex]\dfrac{39}{16}\neq \dfrac{40}{16}[/tex]

As we can see that the ratio of the sides of the triangle is not the same therefore, the two of the given triangles are not similar triangles.

B.) In the second pair of triangles,

For the second pair of triangles to be similar,

[tex]\dfrac{AB}{HG}=\dfrac{BC}{GF}=\dfrac{CA}{FH}[/tex]

The above ratio should be similar, and as we can see that the ratio,

[tex]\dfrac{72}{12}=\dfrac{48}{8}=\dfrac{84}{14} =6[/tex]

As we can see that the ratio of the sides of the triangle is the same therefore, the two of the given triangles are similar triangles.

Learn more about Similar Triangles:

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Related Questions

triplicate ratio of 2:1 is

Answers

Answer:

8/27

Step-by-step explanation:

The triplicate ratio of 2:3 is 2^3/3^3 = 8/27

HAVE A GREAT DAY!

HOLA necesito ayuda... como puedo combertir 50% en fraccion y decimal. Y como combertir 25% en fraccion y decimal

Answers

Answer:

Step-by-step explanation:

50/100 = 1/2 or 0.5

25/100 = 1/4 or 0.25

The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20∘C20, degrees, start text, C, end text. Lainey tried to swim on Monday and Thursday (which was 333 days later). The pool was open on Monday, but it was closed on Thursday. The high temperature was 30^\circ\text{C}30∘C30, degrees, start text, C, end text on Monday, but decreased at a constant rate in the next 333 days.

Answers

Answer:

Inequality: 30 - 3d ≤ 20

Rate of decrease from Monday to Thursday: greater than or equal to 10/3 degrees Celsius per day

Step-by-step explanation:

Translate theconditions into mathematical terms:

HIgh temperature on Monday = T₀ = 30°C.

The temperature decrease at a constant rate in the next 3 days. Call d such rate, so T₃ = T₀ - 3d = 30 - 3d

That the pool is open when the high temperature is higher than 20°C means that, if the pool is closed, then the temperature is less than or equal to (≤) 20°C:

30 - 3d ≤ 20

And that is the requested inequality.

From that, you can solve for the rate of temperature decrease, d:

Add 3d to both sides: 30 ≤ 20 + 3d

Subtract 20 from both sides: 10 ≤ 3d

Divide both sides by 3: 10/3 ≤ d

Apply symmetry property: d ≥ 10/3

Hence, the rate of temperature decrease is greater than or equal to 10/3 degrees Celsius per day, from Monday to Thursday.

Answer:

30 - 3d ≤ 20

d≥10/3

Step-by-step explanation:

Fiona and her sisters grew over the past three months. She records the change in heights of her and her sisters in the table below. Height (in.) Height (in.) Height (in.) Month 1 Month 2 Month 3 Fiona 4 8 12 Alicia 4 5 6 Emilia 5 10 15 Which sister grew at a proportional rate? A.) Fiona only B.) Alicia only C.) Alicia and Emilia D.) Fiona and Emilia

Answers

Answer:

Open this doc for full answers and steps

Step-by-step explanation:

open the link!

blink.org

Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression that represents Kali’s earnings for the week is shown.
2 (8 x) + 5 (box)
Which number should go in the box to complete the expression?
2
5
6
8

Answers

Answer:

Step-by-step explanation:

2(8x) + 5(8)
8 will go in the box

really confused helppppppppp

Answers

Answer:

slope=100

$100 per deposit

Step-by-step explanation:

if f(x) = x^2 -5x +1 and g(x) =5x+4 what is the value of g•f (-2)

Answers

Answer:

The value of [tex]gof (-2)=79[/tex]

Step-by-step explanation:

We have

[tex]f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15[/tex]

Now we need to find

[tex]gof (-2)=g(15)[/tex]

[tex]g(15) =5\times15+4\\\\=79[/tex]

Given the function below, if h(x) = -1, find x.
h(x) = -6 + 20

Answers

Answer:

This problem has been solved! See the answer. Suppose f and g are differentiable functions with the values shown in the table below. For each of the following functions h, find h ' (6). x. f ( x) g ( x) f ' ( x) g ' ( x)v

Step-by-step explanation:

f(x)=2x-3 for f(x)=9

Answers

Answer:

Step-by-step explanation:

f(x)=2x-3, for f(x)=9

2(9)-3

18-3=

Greg is recording the changes in his bank account balance. In the morning, he records a deposit of $7. In the afternoon, he records a purchase of
$8
Create two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase. Move numbers
to the lines to create the expressions.

Expression a: _-_
Expression b: _-_
Choices -8, -7, 7, 8

Answers

Answer:

Step-by-step explanation:

i think that it is either -7 - -8 or -7 + 8 or -7+-8.

Two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase are

Expression a = 7 - 8

Expression b = -8 - (-7)

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given,

Greg records deposit of $7

He records purchase of $8 b

Total change = 7 + (-8)

Expression a = 7 - 8

Expression b = -8 - (-7)

Hence, 7 - 8 and -8 - (-7) are the two expressions for total change in Greg's bank account after his deposit and purchase.

Learn more about expression here:

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#SPJ2

How do I Solve for 5x+2=180

Answers

=> 5x + 2 = 180=> 5x = 180 - 2=> 5x = 178=> x = [tex] \frac{178}{5} [/tex]=> 35.6

Suppose a varies jointly as b and c. Find a when b= 4 and c= -4 a= -60 when b= -5 and c= 4

Answers

Answer:

b=4

Step-by-step explanation:

You want to save at least $180 to buy a new phone. You already have $65 in your account, and you can save $23 a week from your after-school job. Which inequality can be used to find the minimum number of weeks you need to save before you can purchase the phone?

Answers

Answer: 180≤23x+65

Step-by-step explanation:

p = phone

w = weeks

65 + 23w ≥ 180

If you need it to be solved, the minimum number of weeks goes as shown:

65 + 23w ≥ 180

-65 -65

23w ≥ 115

/23 /23

w ≥ 5

So, the minimum number of weeks that is required is 5.

Kyle was playing archery and shot 20 arrows. 30% of them hit the bullseye. how many of the arrows hit the bullseye?

Answers

20 = 100%
0.2 = 1%
6 = 30%

6 arrows hit the bullseye

WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

Answers

Answer:

(1.5,-1)

Step-by-step explanation:

Answer:

(1.5), (-1)

Step-by-step explanation:

Solve the system of equations

2x - 9y =14

x= -6y + 7

Answers

Answer: x=

≈1.166666667

y=−

=−1

≈−1.555555556

Step-by-step explanation:

please help me asapppp

ty :)

Answers

Answer:

The slope of this parallel line is 3.

Step-by-step explanation:

Parallel lines have the same slope. The given line y = 3x - 2 has the slope 3. Therefore the desired parallel line also has the slope 3. This is all that is necessary to answer this question.

The slope of this parallel line is 3.

tyson is 6 feet 2 inches tall. there are 2.54cm in 1 inch. what is tysons height in centimeters?

Answers

Answer: Tyson is 188 centimetres tall.

Is {1, 3, 5} a subset of the set of odd integers?

Answers

Answer: Yes

Step-by-step explanation:

The set of odd integers is all odd numbers with no decimal places after them. This includes 1, 3, 5, 7, 9, 11, 13 (etc.) The numbers 1, 3, and 5 all fall within this set, making the set {1, 3, 5} a subset of the set of all odd integers.

6) There are 350 calories in
cups of spaghetti. How
many calories are in two cups?
Working With Food

Answers

700 calories!
350*2= 700
700/2= 350
700/350= 2

A triangle has an area of 16in^2 and a height of 4in. What is the length of the base?

Answers

Answer:

8 inches

Step-by-step explanation:

The area of a triangle is:

a = 1/2 × b × h

b = length of the baseh = height

We can sub in the values we know:

16in² = 1/2 × b × 4in

To find b, we divide both sides by 1/2 and 4in:

16in² ÷ (1/2 × 4in) = b

16in² ÷ 2in = b

b = 8in

Hope this helps!

8 inches is the answer

the sum of two consecurivenodd numbers is twenty four find the numbers

Answers

Answer:

the numbers are (11,13)

Lucy works as a tutor for $7 an hour and as a waitress for $12 an hour. This month, she worked a combined total of 86 hours at her two jobs.
Lett be the number of hours Lucy worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.

Answers

Answer: 7t + 12(86-t)

==========================================================

Explanation:

t = number of hours she worked as a tutor86-t = number of hours she worked as a waitress

The two expressions mentioned add to 86, to indicate the total number of hours for both jobs combined.

7t = amount earned as a tutor12(86-t) = amount earned as a waitress

We multiply the number of hours by the wage per hour to get the amount earned per job.

Lastly, we add those two subtotals to get the grand total earned

7t + 12(86-t)

Optionally you can distribute the 12 through and combine like terms. I'll leave it like this because I think it's more descriptive to show the two amounts earned from each job.

If you wanted to simplify 7t+12(86-t), then you would get 1032-5t or -5t+1032

-1/3 x + 5 ≤ 2 answerrrrrrrrrrrr

Answers

Answer: x ≥ 9

Step-by-step explanation: -1/3x + 5 ≤ 2

-1/3x + 5 -5 ≤ 2 - 5

-1/3x ≤ -3

-1/3x/(-1/3) ≤ -3/(-1/3)

x ≤ -9

x ≥ 9

Answer: Inequality form X >- 9

Step-by-step explanation:

isolte the varible by dividing each side by factors that dont cotain the variable

A dress which costs $180 is being sold at a discount of 10%. The amount of the discount is
$1.80
$10.00
$18.00
$170.00

Answers

Answer:

The discount is 18 dollars

Step-by-step explanation:

The diagrams may not be drawn to scale. Find the value of y. AC is a straight line. А 56° yº B 123° су

Please Help

Answers

Answer:The answer is y = 67°.Step-by-step explanation:56 + y + (180 - 123) = 180=> 56 + y + 57 = 180=> y = 180 - 113=> y = 67°Conclusion:

Therefore, the answer is y = 67°.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Solution:

Note that:

Interior angles of a triangle sum up to 180°

This means that...

56 + y + (180 - 123) = 180

Let's simplify the equation to find y.

=> 56 + y + (180 - 123) = 180

Simplify the LHS.

=> 56 + y + (57) = 180

=> 113 + y = 180

Subtract 113 both sides.

=> 113 - 113 + y = 180 - 113

=> y = 180 - 113 = 67°

my homework:
Write two expressions that will never return the same
output. Use x as the variable in each expression.

my way of saying it:
write 2 equations with x included that will never equal the same thing no matter what x is

Answers

Answer:

x² * -1/2,

x² + 3

Step-by-step explanation:

The first exprsession always returns a positive number for the square but ends up being negative after the multiplication no matter the inputted values. The second one is always positive.

Two expressions that will never return the same output are 2x - 1 and 2x - 3

How to determine the expressions?

Assume the expressions are linear functions

A linear function is represented as:

y = mx + c

For the expressions to have different outputs, both expressions must have the same slope but different y-intercepts

Take for instance 2x - 1 and 2x - 3

Hence, the two expressions that will never return the same output are 2x - 1 and 2x - 3

Answers

Answer $63.89

Explanation
59.99 x 6.5% = 3.899 = 3.9
59.99 + 3.9 = 63.89

Answer: $63.89

Step-by-step explanation:

In order to find the answer, you have to add the amount charged for the soccer cleats plus the amount of the sales tax.

[tex]59.99 + .065(59.99) = $63.889[/tex]

$63.889 rounded is equal to: $63.89

find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)

Answers

Answer is (-0.3 ,7) I am sure this answer

Plzzz help me.please reply fast

Answers

Answer:

x=458

Step-by-step explanation:

1729-810=919

919-790=129

810-129=681

681-112=569

112-1=111

569-111= 458 (which is the answer)

Answer:

I get 458, but please check the calculations.

Step-by-step explanation:

See attachment. I worked down the pyramid until I has enough information to calculate x. For example, 919 had to be the difference of (1729 - 810) for a sum of 1729. 129 had to be the difference of (919-790). 681 is the difference of (810 - 129). And so on . . .

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