Triangle IHJ is similar to triangle RST.



What is the length of side RT?

Triangle IHJ Is Similar To Triangle RST.What Is The Length Of Side RT?

Answers

Answer 1

Answer:

Length of RT =  6 mm

Step-by-step explanation:

When the triangles are similar the ratio of corresponding sides are equal.

In given triangles we have ( we can take ratio of two sides also)

[tex]\frac{JI}{RT}=\frac{HI}{SR}[/tex]

We need to find length of RT = x

While length of JI= 8 mm

Length of HI = 12 mm

Length of SR = 9 mm

Putting values in formula and finding length of RT

[tex]\frac{8}{x}=\frac{12}{9} \\Cross\:Multiply\\9\times 8= 12\times 8\\72=12x\\x=\frac{72}{12}\\x=6\:mm[/tex]

So, Length of RT = x = 6 mm


Related Questions

CAN ANYONE PLS TELL ME THE BOTH

Answers

First question is 1:2
Second question is 12

Answer:

1:2 and 12

Step-by-step explanation:

2: 4 is equivalent with anothher ratio if you did the exact same multiplication and division to both terms

you have

1 : 2 from 2/2 : 4/2 so in good

7 : 8 is no good

4: 2  is no good

6: 10 is no good

3 olive oil : 1 vinegar

x olive oil : 4 vineger ( we multiply both by 4)

3*4 olive oil : 1*4  vinegar

12 olive oil : 4 vinegar

Need help I need to show my work also

Answers

-15x + 5/3y = -10
5/3y = 15x - 10
y = 9x - 6

Answer:

The answer is No solution

Step-by-step explanation:

Solve 3x+ -1/3y = 20 for x:

3x+ −1/3y+1/3y=20+1/3y(Add 1/3y to both sides)

3x=1/3y+20

[tex]3=\frac{1}{3}\frac{}{} y\frac{+20}{3}[/tex]   Divide both sides by 3

x[tex]=\frac{1}{9} y +\frac{20}{3}[/tex]

Substitute 1/9y+20/3  for x in−18x+2y=−30

−18x+2y=−30

-18[tex](\frac{1}{9}y +\frac{20}{3} +2y=-30[/tex])

−120=−30 (Simplify both sides of the equation)

−120+120=−30+120 (Add 120 to both sides)

0=90

Monique is paid p dollars monthly. She also receives a bonus of $5,500 once a year. Write an expression to
represent the amount of money Monique is paid in ore year?

Answers

Answer:

Step-by-step explanation:

monthly express as p

in a year she will have 12p+5,500

I need help on how to write an EQUATION of how to solve for X 2x<15 simpliefied answer anyone that can help tysm

Answers

Answer:

2x < 15

x < 7.5 (or x <  15/2)

Phillip and his two friends need to raise at least 2,400 for their study abroad trip to europe. so far they have raised 600$. Write an inequality to represent x, the amount of money they need to raise after the first week,

Answers

Answer:

x+600≥2400

Step-by-step explanation:

It has to be atleast 2400

Simplify the expression (combine like terms): 3x+3x

Answers

That should be 6x :) hope this helps!

if sec0=1.1547 then 0=?
round to the nearest thousandth

Answers

The correct answer is C.5

Sub to hudson moore among us gameplay

Answers

Answer:

okKkAyYy

Step-by-step explanation:

Christine made 132$ for 11 hours of work.
At the same rate, how many hours would she have to work to make 84$ ?

Answers

To find how much she makes per hour, do $132 divided by 11. That is equal to 12, meaning she makes $12 per hour. Then, do $84 divided by $12 since that’s how much she makes per hour. This is equal to 7. Christine has to work 7 hours to make $84.

Simplify.
(3x2 + 8x)(2x − 2)
A. 6x3 + 10x2 − 16x
B. 6x3 + 16x2 − 6x − 16
C. 6x2 + 10x − 16
D. 5x2 + 10x − 16

Answers

Answer:

6x3+10x2−16x or A

Step-by-step explanation:

I used an algebra calculator because im too lazy to work it out.  

^algebra^

(3x2 + 8x)(2x − 2)

=3x²(2x-2)

=6x³ - 6x²

+8x(2x - 2)

=16x² - 16x

put it all together

=6x³ - 6x² + 16x² - 16x

group according to variables, then count

6x³ + (-6x² + 16x²) - 16x

=6x³ + (+10x²) - 16x

=6x³ + 10x² - 16x

FINALLY FOUND, MODERATOR!

1. Ethan writes 1/6 of a page in 1/12 of a minute. How much time does it take him to write a full page?​

Answers

Answer:

Step-by-step explanation:

2/18

A piecewise function has
A. Curved lines that only increase or decrease
B. Curved lines that do both increase and decrease on the same graph
C. Straight lines that only increase or decrease
D. Straight lines that do both increase and decrease on the same graph
E. Straight lines that do both increase decrease or stay constant on the same graph

Answers

a piece wise function are curved lines that do both increase and decrease on the same graph

so the answer is B

For every 3 packages that Marcella wraps, she uses 1\2 of a roll of wrapping paper.
If she uses 2\12 rolls of wrapping paper, how many packages has she wrapped?

Answers

15 packages of you meant to say 2 1/2

Write a function that could be used to calculate the altitude of a plane arriving at JFK
International airport which was cruising at an altitude of 30,000 before it began its descent at a rate of 3,200 feet per minute. How many minutes would it be before the plane landed. Round your answer to the nearest tenth.

Answers

Answer:

The plane landed after 9.4 minutes.

Step-by-step explanation:

Function Modeling

The initial altitude of a plane arriving at JFK International Airport is 30,000 ft.

It then began its descent at a rate of 3,200 feet per minute.

Let's call t the number of minutes since the descent started. If each minute the plane descends 3,200 feet, then after t minutes it descends 3,200t.

This must be subtracted from the initial altitude, thus the altitude H is written as:

H = 30,000 - 3,200t

When the plane landed, its altitude was H=0, thus:

0 = 30,000 - 3,200t

Adding 3,200t:

3,200t = 30,000

Dividing by 3,200:

t = 30,000/3,200

t = 9.375 minutes

Rounding to the nearest tenth:

The plane landed after 9.4 minutes.

How many sixteenths are there in 5/8​

Answers

Answer:

10!

Step-by-step explanation:

Exuse me if im wrong :')

Two angles of a triangle measure 55 degrees and 20 degrees. What is the measure of the third angle of the triangle?

Answers

Answer:

105 degrees

Step-by-step explanation:

A whole triangle equals 180

55 plus 20 equals 75

180-75= 105

Answer:105

Step-by-step explanation:

Solve for x
4 to the power of 2x divided by 8 to the power x is equal to 32

Answers

X is equal 5 in 4 to the power of 2x divided by 8 to the power x is equal to 32.

What is base and power?

Raising a base number to an exponent is referred to as "power" in mathematics. It indicates that "base number" and "exponent" are the two fundamental components of powers. The exponent shows how many times the base number has been multiplied, whereas the base number is defined as a number that is multiplied by itself.

In a nutshell, power is a number that has exponents used to express it. It means that the same element has been multiplied repeatedly. In the context of powers, the following specific terminology may be used:

Whenever a number:

Squared = power is 2

cubed = Power is 3

to the power of n = used for powers more than 3

The data given gives as an equation as followed

⇒ [tex]4^{2x}[/tex] ÷ [tex]8^x[/tex] = 32

⇒ [tex](2^2)^{2x}[/tex] ÷ [tex](2^3)^{x}[/tex] = 32

⇒ [tex]2^{4x}[/tex] ÷ [tex]2^{3x}[/tex] = 32

⇒ [tex]2^{(4x - 3x )}[/tex] = 32             (If the base is same in a division, then the powers

⇒ [tex]2^x[/tex] = 32                    can simply be subtracted with the base as common)

⇒ 2 = [tex]\sqrt[x]{32}[/tex]

⇒ 2 = [tex]\sqrt[5]{32}[/tex]

Thus, x = 5

Learn more about exponent

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the intersection of GHL, MNJ, and GKJ is​

Answers

Answer:

answer your own man

ysovsivsuv

Answer:

Step-by-step explanation:

Consider the whole numbers from 0 to 9. You may only use each digit ONCE.

Sketch one digit in each of the blank squares to find the SMALLEST possible result. ​

Answers

Answer:

8 ÷ 0 (2+3)^7 x 1 - 9

Step-by-step explanation:

I think this is correct because the result would be zero as 9  ÷ 0 is 0 and 0 anything is zero. I could be wrong tho

HIT THE QUANNN AY HIT THE QUANN I SAY GET DOWN LOW AND SPREAD YA ARMS

Answers

Answer:

ok

Step-by-step explanation:

please answer 10 points and brainliest

drag the tiles to correct boxes to complete the pairs.
what x-value makes the set of ratios equivelent?
6
9
16
25
---------
match these with the numbers.
2:3=6:x
4:7=x:42
2x:48=3:12
12:15=x:20
------
please answer quickly i need to get this done by tomorrow.

Answers

Answer:

9, 24, 6, 16

Step-by-step explanation:

6/2 = x/3

x = 3*3 = 9

42/7 = x/4

x = 6*4 = 24

48/12 = 2x/3

2x = 4*3  = 12

x = 6

20/15 = x/12

x = 4/3*12 = 16

7th-grade question
..............

Answers

C

You’d need three of the smaller tubes to equal the larger tube

But three of the smaller tubes cost 5.37, so it is 1.26 cheaper to buy the bigger tube

Answer:

C

Step-by-step explanation:

4 ounce costs $1.79

12 ounce costs $4.11

$1.79 ÷ 4 = 0.4475 per ounce

$4.11 ÷ 12 = 0.3425 per ounce

0.3425 < 0.4475

So the 12 ounce tube is the better buy becaus it is cheaper per ounce.

hope this helps :)

Higure to answer the question.
8 cm
8 cm
5 cm
1 cm
8 cm
5 cm
What is the volume of the figure? Enter the answer in the box.
cubic centimeters

Answers

Answer:

35cm

Step-by-step explanation:

The volume of the figure is sum of the two individual cuboids which is

164 cm³.

What is a cuboid?

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

The total volume of the given figure would be the sum of the two cuboids

which is,

= (5×5×8) + (8×8×1) cm³.

= 200 + 64 cm³.

= 264 cm³.

So, The volume of the figure is 264 cm³.

learn more about cuboids here :

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.................................

Answers

Answer:

0

Step-by-step explanation:

Given:

(-3, 2)

(4, 2)

Required:

Slope that passes through the two points given.

Solution:

Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (-3, 2) = (x_1, y_1) [/tex]

[tex] (4, 2) = (x_2, y_2) [/tex]

Plug in the values into the formula

Slope = [tex] \frac{2 - 2}{4 -(-3)} [/tex]

[tex] = \frac{0}{7} [/tex]

[tex] slope = 0 [/tex]

Identify each as an equation or and expression.​

Answers

Answer:

here lets make it easy for you

An expression is a problem WITHOUT an Equal sign

An equation is a problem WITH an Equal sign

Answer:

Equation: 2nd, 5th, and 6th

Expression: 1st, 3rd, and 4th

Step-by-step explanation:

Equations need to have the equal sign and expressions don't have one.

Find the total value of an investment of $12,700 at 8.8% for 1 year to the nearest dollar.

Answers

Answer:

$13,817.60

Step-by-step explanation:

Interest earned = $12,700 × [tex]\frac{8.8}{100}[/tex] × 1

                          = $1,117.60

Total earned = $1,117.60 + $12,700

                      = $13,817.60

Chicago ave is parallel to Ontario Street. What is the relationship between angles 2 and 3?
They are same side interior
They are corresponding
They are alternate interior
They are alternate exterior

Answers

Answer:

they are alternate interior angles my guy.

We can conclude from the figure that angles 2 and 3 are same side interior

Trigonometry identity

From the given diagram, you can see that the shape in the middle is a quadrilateral with four sides.

The following are true of a quadrilateral;The sum of the interior angles is 360 degreesThe sum of the adjacent sides of the angles is 180 degreesThey have the same side interior angles

From the diagram, we can conclude that angles 2 and 3 are same side interior

Learn more on interior angles here; https://brainly.com/question/7888180

A national trivia tournament starts with 262,144 teams. With each round, there are half as many teams as before. The number of teams after any number of rounds, x, can be modeled with the following function.

f(x) = 262,144

Which statement compares the mathematical range and reasonable range of the function?

Both the mathematical and reasonable ranges are limited to real numbers greater than 0 and less than or equal to 262,144.
Both the mathematical and reasonable ranges are limited to whole numbers greater than 0 and less than or equal to 262,144.
The mathematical range is all real numbers greater than 0. The reasonable range is all real numbers greater than 0 and less than or equal to 262,144.
The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144

Answers

Answer:

D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.

Step-by-step explanation:

I don't even know, but yeah.

Answer:

D) the mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144

Step-by-step explanation:

Given `∆QRS≅∆TUV,` QS = 5v + 2, and TV = 8v - 7, find the length of QS

Answers

Answer:

3

Step-by-step explanation:

You have to equate them so...

5v+2=8v-7

I hope this helps you!

Ralph makes $6.50 per hour plus about $10 in commission at his job. Tom makes $6.15 per hour plus about $15 in commission at his job. Which system of equations matches this situation, if x represents the number of hours worked, and y represent total pay?
a) y=6.50x+15
y=6.15x+10

b) y=10x+6.50
y=15x+6.15

c) y=6.50x+10
y=6.15x+15

d) y=6.50x+10
6.15x+y=15

Answers

Answer:c

Step-by-step explanation:

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