State whether the triangles are similar. If they are, write a similarity statement and the postulate or theorem you used.
Given: m∠R = 29° and m∠T = 29°

State Whether The Triangles Are Similar. If They Are, Write A Similarity Statement And The Postulate

Answers

Answer 1

Answer: Correct option: B. ΔQRS ≈ ΔUTV, SAS

Step-by-step explanation:

IN the given triangles (ΔQRS and ΔUTV),

m∠R = 29° and m∠T = 29°  (given)

[tex]\dfrac{QR}{UT}=\dfrac{16}{8}=2\\\\\dfrac{SR}{VT}=\dfrac{64}{32}=2\\\\\therefore\dfrac{QR}{UT}=\dfrac{SR}{VT}[/tex]

By SAS similarity rule , ΔQRS ≈ ΔUTV .

Correct option: B. ΔQRS ≈ ΔUTV, SAS

The SAS similarity theorem says that if 2 sides in a triangle are proportional to 2 sides in another triangle and the included angle in both are congruent, then the 2 triangles are similar.


Related Questions

Which data sets have outliers? Check all that apply
14,21,24,25,27,32,35
15,30,35,41,44,50,78
16,32,38,39,41,42,58
17,23,28,31,39,45,75
18,30,34,38,43,45,68

Answers

Answer:

C.16, 32, 38, 39, 41, 42, 58

and

E.18, 30, 34, 38, 43, 45, 68

its C. & E.

they both have outliers lol

A. 50 degrees
B. 130 degrees
C. 9 units
D.22 units
E. 13 units

Answers

Answer: all i can do hope this helps a bit 2. 130 degrees

5. 13 units

please help what would the 5 be in gallons

Answers

Answer:

13.6 gallons

Step-by-step explanation:

y = 2.72x

this means that 2.72 is multiplied by x

y = 2.72 * x

x = number of gallons

5 = number of gallons

5 = x

y = 2.72 * 5

y = 13.6 gallons

If the weight of a package is multiplied by 7/10 the result is 21 pounds. Find the weight of the package.

Answers

Answer:

30 pounds

Step-by-step explanation:

take the 21 pounds and divide it by 0.7

Answer:

30

Step-by-step explanation:

[tex]21 / 0.7=30[/tex]

Check

30 x 0.7 = 21

HELP PLEASE PLEASE!!!

Answers

x=64Step-by-step explanation:

the probability of getting less than 3 in a single throw of a dice is​

Answers

Answer:

There are two numbers {1,2} which is less than 3. so, required probability P(E) = 2/6 = 1/3.

Step-by-step explanation:

hope this helps

What is 3 1/2 as an improper fraction?

Answers

Answer:

7/2

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

2 × 3 = 6

Step 2

Add the answer from Step 1 to the numerator

6 + 1 = 7

Step 3

Write answer from Step 2 over the denominator

7/2

the improper fraction form of 3 1/2 is 7/2.

To convert the mixed number 3 1/2 to an improper fraction, we first multiply the whole number (3) by the denominator (2) and add the numerator (1). This gives us 3 * 2 + 1 = 7 as the new numerator. The denominator remains the same, which is 2. So, the improper fraction form of 3 1/2 is 7/2.

In this fraction, the numerator (7) represents the total number of parts we have, while the denominator (2) represents the size of each part. Therefore, 3 1/2 is equivalent to the improper fraction 7/2.

Learn more about improper fraction here

https://brainly.com/question/21449807

#SPJ6

can you help me
3(x+2)=2(x+5)

Answers

Answer: x = 4

Step-by-step explanation:

3(x+2)=2(x+5)

3x + 6 = 2x + 10

x + 6 = 10

x = 4

the answer to your question is x=4

Solve for “z.”

Please help!

Answers

Answer: Z=5

Step-by-step explanation:

Solve the rational equation by combining expression and isolating the variable z

please answer asap correctly dont troll!!!

Answers

Answer:

10

Step-by-step explanation:

Bro, again the same question))

a>17-8

a>9

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it

Answers

Answer:

[tex](f-g)(x)=2x-3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

By substitution:

[tex]=(3x-1)-(x+2)[/tex]

Simplify. Distribute:

[tex]=(3x-1)+(-x-2)[/tex]

Rearrange:

[tex]=(3x-x)+(-1-2)[/tex]

Therefore:

[tex](f-g)(x)=2x-3[/tex]

Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. After 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob?

Answers

Answer:

$2 more.

Step-by-step explanation:

In this question, we have to find how much more money Victoria is saving.

We know that Jacob saved $174 in 3 months.

We also know that Victoria saved $360 in 6 months.

Lets find how much money they save per month:

Jacob:

174 ÷ 3 = 58

Victoria:

360 ÷ 6 = 60

Jacob is saving $58 per month and Victoria is saving $60 per month.

This means that Victoria is saving $2 more than Jacob per month.

Answer:

2

Step-by-step explanation:

multiply by 2 and then divide by 6

If 0 and 3 is equal to y = 30
what is 3 and 5.5 equal to

Answers

Answer:

8.5

Step-by-step explanation:

What are the x-intercepts of f(x) = x(x + 1)(x - 4)(x+8)??

Answers

Answer:

f(x)= 3x^2+5x

Step-by-step explanation:

f(x)= x(x+1)(x-4)(x+8)

f(x) = x^2 + x + x^2 - 4x + x^2 + 8x

f(x) 3x^2 + 5x

The product of 7 and j is 91.
Solve for j

Answers

Answer:

j=13

Step-by-step explanation:

The equation for this problem is 7j=91.

I would divide 7 on both sides, which would be j=13.

This should be the format of your answer:
Ex. Given: distance = 500 m/s
time = 10 s
Asked: speed
Formula: d/t
Solution: 500 m/10 s
Answer: 50 m/s

2. The new Ferrari can accelerate from rest to 100 km/hr in 5 seconds. What is the average acceleration of the car in m/s2?
3. A car starts from a stoplight and is traveling with a velocity of 10 m/sec east in 20 seconds. What is the acceleration of the car?
4. A ball is rolled at a velocity of 12 m/s. After 36 seconds, it comes to a stop. What is the acceleration of the ball?

Answers

Answer:

The answer is below

Step-by-step explanation:

Acceleration is the time rate of change in velocity. Acceleration is given by:

Acceleration = change in velocity / time taken

Acceleration = (final velocity - initial velocity) / time

1) The Ferrari is from rest, hence initial velocity = 0. The final velocity = 100 km/h = [tex]\frac{100\ km*1000\ \frac{m}{km} }{1\ hr*\frac{3600\ s}{1\ hr} } =27.78\ m/s[/tex], time = 5 s

Acceleration = (0 - 27.78) / 5 = 5.56 m/s²

2) The car has initial velocity = 10 m/s. The final velocity = 10 m/s since velocity is constant. time = 20 s

Acceleration = (10 - 10) / 20 = 0 m/s²

3) The ball has initial velocity = 12 m/s. The final velocity = 0 m/s since it stops. time = 36 s

Acceleration = (0 - 12) / 36 = -0.33 m/s²

Please help me solve this challanging question 9 (step by step sulotion) 50 points!

Answers

9514 1404 393

Answer:

  10

Step-by-step explanation:

Let L and T represent the initial amounts that Leo and Theo had. Let n represent the number of bills exchanged in the first exchange. Then we have ...

  L -20n +50n = T -50n +20n . . . . after the first exchange, each has the same

After the second exchange, amounts trade places:

  (L +30n) +6(50) = T

Substituting this into the first equation, we get ...

  L +30n = ((L +30n) +300) -30n

  30n = 300

  n = 10

Leo gave Theo ten $20 bills.

_____

Comment on the amounts

Theo started with $600 more than Leo, including exactly 16 $50 bills. Leo had at least 10 $20 bills, so he could make the initial exchange. Whatever initial amount Leo had in excess of that $200 was matched in Theo's initial amount, but Theo must have had that excess in $20 bills only. For example, Leo may have started with $300 as 10×$20 +2×$50, but Theo's initial $900 would need to be 5×$20 +16×$50.


.is BLANK
than
is fewer
than
3 < 5

Answers

Answer:

I do not know what you just said so I assume your asking if 3 is less than 5 and yes 3 is less than 5


Find the degree of the monomial.
9b6c5
The degree of the monomial is

Answers

Answer:

6

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

9b⁶c⁵

Step 2 Identify

Our largest degree is the variable raised to the highest exponent.

b⁶ > c⁵

Therefore our degree is 6.

For questions 1 – 6, find the area of the circle to the nearest hundredth.
Any help appriciated!

Answers

Step-by-step explanation:

The area of a circle is given by :

A = πr²

r is the radius of the circle

(4) Diameter = 22 cm

Since, radius = diameter/2

r = 11 cm

Now, area of the circle,

[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]

(5) Diameter = 30 cm

Since, radius = diameter/2

r = 15 cm

Now, area of the circle,

[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]

(6) Diameter = 4cm

Since, radius = diameter/2

r = 2 cm

Now, area of the circle,

[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]

So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.

Jaye walked 50 dogs this week. 40% of the dogs were brown. How many of the dogs were brown?

Answers

Answer: 30

Step-by-step explanation:

50x .4 = 20

50-20=30

40% in decimal form is .04 so to find out the answer you must multiply 50 by .04 which gives you 20. There are 20 brown dogs.

Solve for x,
45=3x
Simplify your answer as much as possible,
X

Answers

15 times 3 = 45 therefore x=15

if a bike race covers 120 mi over 6 days and the cyclists ride the same distance every day how many miles does each cyclist ride each day​

Answers

120/6= 20
they ride 20 miles each day

What is the solution of the equation? square root b - 17 + square root b = 1?

Answers

Answer: no solution hope this helps

Answer:

D. No solution

Step-by-step explanation:

correct on edg unit test review, hope that helped!

Which of the following is not a correct statement about
the pie chart?
More students have hazel eyes than blue.
Most of the students in the class have brown eyes.
More students in the class have blue eyes than
hazel.
O The fewest number of students have gray eyes.

Answers

Answer:

More students have hazel eyes than blue.

Step-by-step explanation:

Answer:

Step-by-step explanation:

jun uses a 20%-off coupon to by the ingredents for congee. she spends $40. what is the regular price r of the ingredeints before the discount

Answers

Answer:

$50

Step-by-step explanation:

Make the equation where x is the original price:

x - 0.2x = 40

Combine like terms

0.8x = 40

Divide both sides by 0.8

40/0.8 = 50

Suppose you are testing two fertilizers on bamboo plants A and B, which are growing under identical conditions. Plant A is 6 cm tall and growing at a rate of 4 cm per day. Plant B is 10 cm tall and growing at a rate of 2 cm per day.​

Answers

Answer:

2 days

Step-by-step explanation:

Step one:

let the number of days be x

and the total height be y

​Plant A is 6 cm tall and growing at a rate of 4 cm per day.

the total height is

y=6+4x------------1

Plant B is 10 cm tall and growing at a rate of 2 cm per day.​

y=10+2x-----------2

Required

time taken for both plants to have the same height

Step two:

equate the two equations to find when the plants will have the same height

6+4x=10+2x

collect like terms

4x-2x=10-6

2x= 4

divide both sides by 2

x= 4/2

x= 2 days

PLEASE HELP MEEEEEEE

Answers

Answer:

the thing is black for me.. pls retake

Step-by-step explanation:

3. 3=2(1)+1. 4. 5= -1/5(3)+5.6

What is the value of the expression 9 + ( fraction 1 over 2 )4 ⋅ 48?

Answers

Answer:

105

Step-by-step explanation:

9 + (1/2)4 x 48

9 + 96 = 105

Answer:

105

Step-by-step explanation:

SO, based on the way you worded it, the equation is

[tex]9 + 1/2 *4*48[/tex]

You multiply [tex]1/2 * 4[/tex] first.

This gives you 2.  [tex]2*48=96[/tex]

96 + 9 =105

Cindy types 180 words in 2 minutes
Enter the number of words Cindy types in 5 minutes at this rate.

Answers

She types in 450 words in 5 minutes
180/2=90
90*5=450
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