Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.

Triangle HIJ Is Similar To Triangle KLM. Find The Measure Of Side MK. Round Your Answer To The Nearest

Answers

Answer 1

Answer:

[tex]MK\approx 87.7[/tex]

Step-by-step explanation:

By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for [tex]MK[/tex]:

[tex]\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}[/tex]

Answer 2

Answer:

87.7

Step-by-step explanation:

Like stated previously similar triangle have side lengths with common ratios

*Create a proportionality to solve for MK*

57/13 = MK / 20

Now solve for MK

Multiply each side by 20

57/13 * 20 = 87.7 ( rounded )

MK/20 * 20 = MK

We're left with MK = 87.7


Related Questions

I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again! (Pls help Asap!)

Answers

Answer:

his dad was cutting the grass for 1 hour and 4 minutes i hope this helps

Step-by-step explanation:

Help plz this is really hard for me

Answers

Answer:

Improper fraction: 13/10

Mixed number: 1 3/10

Decimal: 1.3

Step-by-step explanation:

Find common denominator: which is 30

Make each denominator equal 30, affecting the whole fraction:

6•2/15•2 + 3•3/10•3 + 3•6/5•6 =

12/30 + 9/30 + 18/30 = 39/30

Simplify: 39/30, divide both by 3: 13/10

And there is our answer!

Hope this helps, good luck! :D

Answer:

39/30

Step-by-step explanation:

PLEASE HELP!!!
a. segment AB congruent
segment CD
b. segment AB congruent d. segment BC
c. segment AD congruent segment BC
d. segment AC congruent segment BD

Answers

Answer:

A. Segment AB congruent segment CD

C. Segment AD congruent segment BC

Step-by-step explanation:

These are both true because a characteristic of a rhombus is that all four sides are congruent. Therefore we must prove that AB is congruent to CD and AD is congruent to BC.

Write the equations of two lines passing through (4,8)

Answers

Answer:

Two lines that pass through the point (4, 8) are y = 3·x - 4 and y = -5·x + 28

Step-by-step explanation:

The equation of two lines that passes through the point (4, 8) are found using the general form of a straight line equation, y = m·x + c, where;

m = The slope of the line

c = The y-intercept

Therefore, two distinct line pass through a given point if they have a different slope, m, and a different y-intercept, c, as follows;

Fot the given point, the x-value = 4, and the y-value = 8, we get;

8 = m₁·4 + c₁...Line 1 and

8 = m₂·4 + c₂...Line 2

m₁ ≠ m₂

If we set m₁ = 3, for line 1, we get;

8 = 3 × 4 + c₁ = 8 = 12 + c₁

∴ c₁ = 8 - 12 = -4

c₁ = -4

The equation for Line 1 for all x and y-values, where, m₁ = 3, c₁ = -4, becomes;

y = 3·x - 4

The equation for Line 2 where m₂ = -5 for example, we have;

8 = -5 × 4 + c₂

∴ c₂ = 8  + 5 × 4 = 28

c₂ = 28

The general form for the equation for Line 2 becomes;

y = -5·x + 28

Therefore;

The equation of the two formed lines that pass through the point (4, 8) are;

y = 3·x - 4 and y = -5·x + 28

Please help me
Which has a larger area , a 4:3 aspect ratio 32 inch Tv or a 16:9 aspect ratio 32 inch Tv? Find the side lengths of each of the TV’s and the area of each Tv to compare. Explain Your reasoning and show all mathematical calculations.

Answers

Step-by-step explanation:

please see my work as attached

Please help I’ll give brainliest

Answers

Answer:

- a + 18b

Step-by-step explanation:

2(a + 6b) - 3(a - 2b)

= 2a + 12b - 3a + 6b

= 2a - 3a + 12b + 6b

= - a + 18b (Ans)

Answer:

-a + 18b

Step-by-step explanation:

2(a + 6b) - 3(a - 2b)

Distribute the 2

2a + 12b - 3(a - 2b)

Distribute the 3

2a + 12b - 3a + 6b

Combine like terms

-a + 18b

A pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. This plan randomly selects and tests 26 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. What is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects

Answers

Answer:

0.7208 = 72.08% probability that this whole shipment will be accepted.

Step-by-step explanation:

For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

4% rate of defects

This means that [tex]p = 0.04[/tex]

26 tablets

This means that [tex]n = 26[/tex]

What is the probability that this whole shipment will be accepted?

Probability that at most one tablet does not meet the specifications, which is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

Thus

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{26,0}.(0.04)^{0}.(0.96)^{26} = 0.3460[/tex]

[tex]P(X = 1) = C_{26,1}.(0.04)^{1}.(0.96)^{25} = 0.3748[/tex]

Then

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.3460 + 0.3748 = 0.7208[/tex]

0.7208 = 72.08% probability that this whole shipment will be accepted.

Use the image to complete the equation below

Answers

Answer:

DPB

Step-by-step explanation:

Verticle angles are congruent

m∠APC = m∠DPB

If f(x) = x2 and g(x) = x + 1, what is (fºg)(2)?
1.
5
2.
7
3.
9
4.
12

Answers

Answer:

f(x)=x² , g(x)= x+1. f(g(2))?

g(2)

2+1=3

g(2)=3

f(3)

3²=9

f(3)=9

the answer is 9

Answer:

9

Step-by-step explanation:

To find (f ○ g)(2) , evaluate g(2) then substitute the value obtained into f(x)

g(2) = 2 + 1 = 3 , then

f(3) = 3² = 9

Maria has made $28 selling bracelets at a craft fair. She spends $52 on supplies to make the bracelets. She sells each bracelet for $3. Which inequality can Maria use to find how many more bracelets she needs to sell to make more money than she spent on supplies. A. 3x + 52 < 28 B. 28x +3 >52 C. 3x + 28 < 52 D. 3x +28 > 52

Answers

Answer: D. 3x +28 > 52

Step-by-step explanation:

Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:

With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.

Therefore, (3 × x) + 28 > 52

= 3x + 28 > 52.

We can calculate further

3x > 52 - 28

3x > 24

x > 24/3

x > 8

Therefore, 9 or more bracelets needs to be sold since x is greater than 8.

Therefore, the correct option is D 3x +28 > 52

Answer:

D. 3x + 28 > 52

Step-by-step explanation:

Helpppp with this math

Answers

9514 1404 393

Answer:

  x = 8 1/3

Step-by-step explanation:

Put the known values into the equation and solve for x.

  f(x) = 3x -1

  24 = 3x -1 . . . . . use 24 for f(x)

  25 = 3x . . . . . . . add 1 to both sides

  25/3 = x . . . . . . divide both sides by 3

The input is x = 8 1/3.

Nicole is looking at a map of her neighborhood she notices the mall is 30 miles south of your house and that the grocery stores 40 miles east of her house how far apart are the mall and the grocery store?

Answers

Answer:

Distance of grocery stores from mailbox = 50 miles

Step-by-step explanation:

Given:

Distance of grocery stores = 40 miles east

Distance of mailbox = 30 miles south

Find:

Distance of grocery stores from mailbox

Computation:

Hypotenuse² = Perpendicular² + Base²

Distance of grocery stores from mailbox = √30² + 40²

Distance of grocery stores from mailbox = √900 + 1600

Distance of grocery stores from mailbox = √2500

Distance of grocery stores from mailbox = 50 miles

What is the product of 2x+ 3 and 4x2 - 5x+ 6?

Answers

Answer:

8x³ - 25x² - 3x + 18

Step-by-step explanation:

(2x + 3)(4x²- 5x + 6)

multiply 2x by each of the three terms in the second expression to get:

8x³ - 10x² + 12x

now multiply 3 by each of the three terms in the second expression to get:

12x² - 15x + 18

Combine 'like terms': -10x² + (-15x²) = -25x²

Combine 'like terms':  12x + (-15x) = -3x

Put all terms in decreasing exponent order:

8x³ - 25x² - 3x + 18

It takes you 45 minutes to wash a car
alone. Your friend can wash a car in 30
minutes. How long will it take you and
your friend to wash a car together? You
can use the work principle to find out!

Answers

Answer:

37.5 minutes

Step-by-step explanation:

45+30=75

=75 =37.5

2

This might help you!!!!

Answer: 37. 5 minutes in total.

So someone else had gave the correct answer, but I thought it wasn’t clear enough so I hope this helps.

Step-by-step explanation:

45 + 30 = 75.

But 75 cannot be a total of minutes... so therefore we divide 75 by 2

75 ÷ 2 = 37. 5

So it will take you and your friend a total of 37. 5 minutes to wash a car together.


Hope this helped

complete the solution of the equation find the value of y when x equals -11 5x+6y=-37

Answers

Answer:

x = - 11

y = 3

Step-by-step explanation:

5x + 6y = - 37

x = - 11

5( - 11) + 6y = - 37

- 55 + 6y = - 37

- 55 + 55 + 6y = - 37 + 55

6y = 18

6y ÷ 6 = 18 ÷ 6

y = 3

Findfind the value of each variable used in the figures if your answer is an integer express it in simples radical form ​

Answers

Answer:

c=2

Step-by-step explanation:

the sides of a 30-60-90 right triangle are in the ratio 1:[tex]\sqrt{3}[/tex]:2

solve x and y simultaneously if:
[tex]y + 7 = 2x[/tex]
[tex] {x}^{2} - xy + {3y}^{2} = 15[/tex]

Answers

Answer:

make Y the subject in eqn........ 1

y + 7 = 2x

y = 2x - 7...........eqn 3

put y = 2x - 7 into eqn 2

x² - xy + 3y² = 15

x² - x(2x - 7) + 3(2x - 7)(2x - 7) = 15

x² - 2x² + 7x + 3(4x² + 14x -14x + 21) = 15

x² - 2x² + 7x + 12x² + 42x - 42x + 63 = 15

x² - 2x² + 7x + 12x² + 63 = 15

x² - 2x² + 12x² + 7x + 63 = 15

11x² + 7x + 63 - 15 = 0

11x² + 7x + 48 = 0

11x² + 7x = - 48

11x²/11 + 7x/11 = - 48/11

x² + 7x

a) Draw the graph of y = 4x - 1 on the grid. b) Use the graph to estimate the value of x when y = 1​

Answers

Hello,

a) photo attached

b) When y = 1, x ≈ 0.5

Verification through calculation :

We have :

y = 4x - 1

⇔ 1 = 4x - 1

⇔ 4x = 2

⇔ x = 2/4 = 0.5

This is just !

:-)

Which is the graph of y – 3 =-2/3 (x + 6)?

Answers

Answer:

see graph below

. Which of the following is equal to
3
?
)
6 −
3 )
6 ×
3
)

6

3
)(
6
)

Answers

Answer:

(6-3)=3..............................

the range of the following relation R {(3, -5), (1,2),(-1,-4),(-12)} ​

Answers

Answer:

The range of the following relation is(-5,2,-4)

a trapezoid has parallel sides of length 26 mm and 44 mm. its other sides measure 10 mm and 17 mm. what is the length of the bimedian joining the two non parallel sides?

Answers

Answer:

35 mm.

Step-by-step explanation:

That would be (26 + 44)/2

= 70/2

= 35 mm.

1. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.

2. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?

3. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter. *

Answers

Answer:

1)

[tex]808.48 \: cubic \: meter[/tex]

2)

[tex]104 \: shiling[/tex]

3)

[tex]14cm[/tex]

Step-by-step explanation:

Length = 16.3m

breadth = 8m

height = 6.2m

volume= Lbh

=(16.3×8×6.2)m

= 808.48 cubic meter

Heather has a weighted coin that has a 60%, percent chance of landing on heads each time it is flipped.

Answers

It would be c that’s your answer

Probability of getting tails when weighted coin is flipped is 2/5

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes for an event. For an experiment with 'n'  outcomes, the number of favorable outcomes can be denoted by x.

The probability of an event can be calculated by simply dividing the  number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number is never negative.

Given,

Chance of getting heads on the weighted coin = 60%

Probability of getting heads = 60/100

Probability of getting heads = 3/5

Probability of getting tails = 1 - 3/5

Probability of getting tails = 2/5

Hence, 2/5 is the probability of getting tails on flipping the weighted coin.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ7

please please someone help!! im confused on the parentheses part. i will give brainliest and 20 points

Answers

Answer:(first term)

a=27(4th term)

T4= a x r^3 = 64

substituting a as 27 in T4

27 x r^3 = 64

r^3 = 64/27

r=4/3

so; a=27, r=4/3

using the general formula of geometric progression,

a x r^n-1

substitute:.

27 x 4/3^n-1

= 27(4/3)^n-1

Answer: (C) HOPE THIS HELPS!

Can someone help me with this.
:)

Answers

For #2 just do Pythagorean theorem. That is 5²+h²=10²
25+h²=100
h²=75
h=sqrt(75)
Use a calculator to approximate the height

And I think it is irrational because square roots are not exact rational numbers

6/h −1= −3 again.......

Answers

6/h -1 =-3
6/h = -2
6=-2h
h= -3

Answer:

ℎ = −3

Step-by-step explanation:

6

1

=

3

\frac{6}{h}-1=-3

h6​−1=−3

6

+

(

1

)

=

3

\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3

h6​+hh(−1)​=−3

2

Combine fractions with common denominator

6

+

(

1

)

=

3

\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3

h6​+hh(−1)​=−3

6

+

(

1

)

=

3

\frac{6+h\left(-1\right)}{h}=-3

h6+h(−1)​=−3

3

Re-order terms so constants are on the left

6

+

(

1

)

=

3

\frac{6+h\left(-1\right)}{h}=-3

h6+h(−1)​=−3

6

=

−3

xy to the power of -4
show as positive exponent
explain

Answers

Answer:

[tex]\frac{1}{(xy)^4}[/tex]

Step-by-step explanation:

*Question interpreted as "Write [tex](xy)^{-4}[/tex] with a positive exponent."

Recall the following exponent property:

[tex]a^{-b}=\frac{1}{a^b}[/tex]

Therefore, we have [tex](xy)^{-4}\implies \boxed{\frac{1}{(xy)^4}}[/tex]

write 17.275102 correct to 3 decimal places

Answers

Step-by-step explanation:

17.275 3 decimal plalcesl

what is the vaule (x + y)(x + y)

Answers

Answer:

x^2+2xy+y^2

Step-by-step explanation:

(x + y)(x + y)

FOIL

first x*x = x^2

Outer x*y = xy

inner: y*x = xy

last y*y = y^2

add together

x^2+xy+xy+y^2

Combine like terms

x^2+2xy+y^2

Answer:

[tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]

Step-by-step explanation:

(x + y)(x + y)

= (x + y)(x + y)

=(x)(x) + (x)(y) + (y)(x) + (y)(y)

= [tex]x^{2}[/tex] + xy + xy + [tex]y^{2}[/tex]

= [tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]

Hope this helps, please mark brainliest. :)

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