Mathematics High School

Triangle OPQ is similar to triangle RST. Find the measure of side RS. Round your answer to the nearest tenth if necessary. OPQR

need this answered quick!!!! ​

Triangle OPQ Is Similar To Triangle RST. Find The Measure Of Side RS. Round Your Answer To The Nearest

Answers

Answer 1

Answer:

RS  =  75.3

Step-by-step explanation:

You need to set up the proportion of corresponding sides.

[tex]\frac{PQ}{ST} = \frac{PO}{RS}[/tex]

[tex]\frac{7}{31} = \frac{17}{RS}[/tex]

7(RS) = 31(17)

         =  527

RS = 527/7 = 75.2857...

     =  75.3

Answer 2

The measure of side RS from the triangle RST is 75.28 units.

Given that, triangle OPQ is similar to triangle RST.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Since, triangle OPQ is similar to triangle RST

The ratio of corresponding sides is

QP/TS = OP/RS

⇒ 7/31 = 17/RS

⇒ 7RS=17×31

⇒ 7RS=527

⇒ RS=527/7

⇒ RS=75.28 units

Therefore, the measure of side RS from the triangle RST is 75.28 units.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

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Related Questions

can anybody help me with this number 9 ? show work please and thank you

Answers

Answer:

[tex]x = 11 \sqrt{3} \\y = 33[/tex]

(-4,-6) perpendicular to the line y=2x+5

Answers

Here you go!! Hope this helps

Can somebody help me? -2-7p<26

Answers

Answer: p>−4

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2−7p<26

Step 1: Simplify both sides of the inequality.

−7p−2<26

Step 2: Add 2 to both sides.

−7p−2+2<26+2

−7p<28

Step 3: Divide both sides by -7.

−7p

−7

<

28

−7

p>−4

Rodrigo's math certificate is 20 centimeters tall and 27 centimeters wide. Rodrigo wants to put the certificate in a fancy frame that costs $1.57 per centimeter. How much will it cost to frame Rodrigo's math certificate?

Answers

Answer:

the cost that used to frame the math certificate is $847.80

Step-by-step explanation:

The computation of the cost that used to frame the math certificate is shown below:

= 27 wide × 20 tall × $1.57 per centimeter

= $847.80

Hence, the cost that used to frame the math certificate is $847.80


Determine whether the triangle is acute, right, or obtuse given the sides: 11, 14, 20

Answers

Answer:

317 < 400

The Sum of the squares of the smaller 2 sides (121 + 196 = 317)  < longest side squared (400) So, it is an  OBTUSE SCALENE TRIANGLE.

Source: http://www.1728.org/triantest.htm

Step-by-step explanation:

Help Plz will give a prize

Answers

Answer:

$52.50

Step-by-step explanation:

(2[7.25] + 2[24]) - 10

(14.50 + 48) - 10

62.50 - 10

= 52.50

1.9% as a decimal it’s for math class

Answers

Answer:

0.019

Step-by-step explanation:

btw instead of wasting points you can look that up on g*oogle, goo*gle has a calculator that will help you find out decimals and percent's!

pieces of advice

can i have brainliest?

Answer:

0.019

Step-by-step explanation:

% divide by Hundred

Find the area of a regular pentagon with a side of 5cm round to nearest tenth

Answers

Answer:

43 cm^2

Step-by-step explanation:

tan 72/2 = 0.7265

0.7265 = 0.5(5)/h

h = 3.44

3.44 x 5 x 0.5 = 8.6

8.6 x 5 = 43 cm^2

This is for algebra 1

Answers

(732,837329).............

Jane Martin-Smith and her husband deposited $500 in an account on their wedding day and each subsequent anniversary. The money was deposited in an account that pays 7 percent compounded annually. How much will they have on their 25th anniversary?

Answers

Answer:

On their 25th anniversary, their account will have $850

Step-by-step explanation:

7% per year for 25 years is 170%

170% of 500 is 850

I hope this helps!

Nolur acil lütfen yalvarırım sana ueuuwu wuyahshkdlben ne zaman istersen o

help plz will give brainiest

Answers

Answer:

The answer is  B

[tex]\frac{1}{x^{2} -4x+3}[/tex]

Step-by-step explanation:

Write all three forms (slope intercept, point slope and standard) of a line containing the points (4, -11/3) and (1/2, -29/6).

Answers

Answer:

See explanations below

Step-by-step explanation:

Slope intercept form of the equation is expressed as y = mx+b

m is the slope

b is the intercept

Given the coordinates (4, -11/3) and (1/2, -29/6)

Slope m = -29/6-(-11/3)÷(1/2-4)

m = (-29/6+11/3)÷(-7/2)

m = -29+22/6÷(-7/2)

m = -7/6÷(-7/2)

m = -7/6×2/-7

m = 2/6

m = 1/3

Get the intercept b

Substitute m= 1/3 and (4, -11/3) into y = MX+b

-11/3 = 1/3(4)+b

-11/3 = 4/3+b

b= -11/3-4/3

b= -15/3

b =-5

Get the required equation

y = 1/3 x -5 (slope-intercept form)

Point slope form of the equation is expressed as y-y0 = m(x-x0)

Substituting m = 1/3 and the point (4,-11/3)

x0 = 4

y0 = -11/3

y - (-11/3) = 1/3(x-4)

y+11/3 = 1/3(x-4) (point-slope form)

For standard format

Recall that y = 1/3x - 5

Multiply through by 3

3y = 1/3x(3)-5(3)

3y = x-15

3y-x = -15(standard form)

You deposit $5,000 in a bank account that earns 4% simple interest. How much interest will you earn in 2 years?

Answers

Answer:

Step-by-step explanation:

A cereal box says that now it contains 40% more. Originally, it came with 24 ounces of cereal. How much cereal does the box come with now?

Answers

Answer:

36 oz

Step-by-step explanation:

multiply 24 by 104% because there is the original amount and 40% more

Working together, Bill and Tom painted a fence in 6 hours. Last year, Tom painted the fence by himself.
The year before, Bill painted it by himself, but took twice as long as Tom took. How long did Bill take
when painting the fence alone?

Answers

:V can you put a picture ?

PLEAAASSSEE HELP!! ITS DUE IN 1 HOUR

Answers

Answer:

-4 and +4

Step-by-step explanation:

(- - - -) = -4

(+ + + +) = 4 or +4

-4 and +4 hope this helps

What is 36x<20? Help ASAP

Answers

Answer:

x < 5/9

Step-by-step explanation:

Answer: x < 5/9

Step-by-step explanation:

36x < 20 (divide both sides by 36)

x < 20/36 (simplify the fraction)

x < 5/9

What dose 3 3/4 represent on the map? Pls help im not caught up on the algebra thing Btw 1 inch is equivalent to 12 miles on the map

Answers

Answer:

45 miles

Step-by-step explanation:

Complete Question

What does 3 3/4 inches represent on the map?

1 inch is equivalent to 12 miles on the map

From the above question, the scale on the map is given as:

1 inch = 12 miles

Hence, 3 3/4 inches = x miles

Cross Multiply

1 inch × x miles = 3 3/4 inches × 12 miles

x miles = 3 3/4 inches × 12 miles/1 inch

x miles = 15/4 × 12 miles

x miles = 45 miles

Therefore, 3 3/4 inches represents 45 miles on the map.

can you guys please help me?! it’s due tomorrow and i don’t know the answers :(

Answers

Answer:

I think it is the second one because -4 is the least

Step-by-step explanation:

Answer: It’s the first option.

Step-by-step explanation:

/-4/ the bars on either side of the -4 means absolute value. The absolute value of any number is the number itself, regardless of positive or negative. /-4/ is 4.

15/3 is 5. (3 goes into 15 five times)

16/3 is 5 1/3. (3 goes into 16 five times with 1 leftover. Place the leftover 1 back on top of the denominator)

Which statements are true for irrational numbers written in decimal form?

A. Irrational numbers are nonterminating.

B. Irrational numbers are repeating.

C. Irrational numbers are nonrepeating.

D. Irrational numbers are terminating.

answers

C and D

A and C

B and D

A and B

Answers

Answer:

A and C

I hope this helps a little bit.

Answer:

irrational numbers are reapeating - B

irrational numbers are non terminating -A

I'm not sure about A though

A line passes through the point (-8, 1) and has a slope of -
3
4
Write an equation in slope-intercept form for this line.

Answers

Answer: y = 0.6x + 5.8

Give the types of quantities

Answers

Magnitude (how much) and multitude (how many), the two principal types of quantities, are further divided as mathematical and physical.

PLS HELP ILL GIVE BRAINLIEST TO FIRST PERSON


The first buses to X and Y leave a bus station at 7 am
Buses to X leave every 25 minutes.
Buses to Y leave every 20 minutes.
When will the buses to X and Y next leave at the same time?

Answers

They will both leave at the same time again at 8:40

Multiples of a number are the numbers that a number can be divided by without any remainder.

The buses X and Y will leave at the same time by 8:40 am

To calculate when buses X and Y will leave at the time, we would have to find the Lowest Common Multiple of 20 and 25 minutes.

Find and list multiple until the first common multiple is found. This is the lowest common multiple.

Multiples of 20:

20, 40, 60, 80, 100, 120, 140

Multiples of 25:

25, 50, 75, 100, 125, 150

Therefore,

LCM(20, 25) = 100

The LCM is 100 minutes

Converting 100 minutes

60 minutes = 1 hour

100 minutes = ?

Cross Multiply

100 minutes x 1 hour / 60 minutes

= 1 2/3 hours.

This can be rewritten as :

= 1 hr 40 minutes

Adding this to 7am

7 am + 1 hr 40 minutes = 8 : 40am

Therefore, the buses X and Y will leave at the same time by 8:40 am

To learn more, visit the link below:

https://brainly.com/question/24700269

how to write an equation for this graph

Answers

Answer:

y = -2/3x + 6

Step-by-step explanation:

Kind of hard to explain but...

From 0,0 go up 6, that is where the + 6 comes from in the answer

The -2/3 is because if you go down 2 (aka -2) and right 3 (aka 3) from point 0,6 you land on point 4,4

Which answer represents the series in sigma notation?

1+12+14+18+116+132+164




∑j=1712(j+1)

∑j=17(12)j−1

∑j=1712j+1

∑j=172j−1

Answers

Answer: The answer is the second one: ∑j=17(12)j−1

Step-by-step explanation:

What is the measure of an angle that is supplementary to an angle that measures 101°? (Type number only)

Answers

180 - 101 = 79
Supplementary mean that the two angle measures add up to equal 180

-8x-3(4x-y)+7y pls show work

Answers

-8x-3(4x-y)+7y
-8x-12x+3y+7y
-20x+10y

Answer:

-20x + 8y

Step-by-step explanation:

- 8x -3(4x-y)+7y

First distribute,

-3(4x)= -12x

-3(-y)= y

so then that would be -8x -12x +y+7y

Next,

Combine like terms

-20x+ 8y

:) hope that helped

For all the values of x,
f(x)=2x^2 and g(x)=x+1
Solve fg(x)=gf(x)

Answers

Answer:

if f(g(x)) = g(f(x)), then x is equal to zero.

Step-by-step explanation:

given:

f(x) = 2x²

g(x) = x + 1

then:

f(g(x)) = 2(x + 1)²

g(f(x) = 2x² + 1

so if:

f(g(x)) = g(f(x))

then:

2(x + 1)² = 2x² + 1

2(x² + 2x + 1) = 2x² + 1

2x² + 2x + 1 = 2x² + 1

2x = 0

x = 0

One number is 4 more than another, and their sum is 60. What is the smaller number?



If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?

x + y = 60 and -x + y = 4
x + y = 60 and x + y = 4
x + y = 60 and x - y = 4
Unlimited Attempts Remain

Answers

Answer:

Step-by-step explanation:

The system is

x+y=60 and x-y=4

If we get the difference between the two equations above we get

x+y-x+y=60-4

2y=56

y=28

If f(x)=3x+2, what is f(3)-7

Answers

Answer:

[tex] \orange{ \bold{f(3) - 7 = 4}}[/tex]

Step-by-step explanation:

[tex]f(x) = 3x + 2 \\ \\ plug \: x = 3 \\ \\ f(3) = 3(3) + 2 = 9 + 2 \\ \\ f(3) = 11 \\ \\ f(3) - 7 = 11 - 7\\ \\ \purple{ \bold{f(3) - 7 = 4}}\\ \\ [/tex]

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