What is the measure of space inside a suitcase?

If two pentagons are similar, then their sides are proportional. To find PT, we'll need to set up a proportion.

AE / PT = AB / PQ

---There are many ways to set up this proportion, it just depends on what side lengths you have and ensuring that they match up on both shapes.

6 / x = 5 / 12.5

5x = 75

x = 15

Length of PT = 15 cm

Option C

Hope this helps!

Answer:

X = 64

Y = 18

Z = 98

Step-by-step explanation:

Angles on a straight line always add up to 180 Degrees

Vertical Opposite Angles are equal to each other

X = 64

Y = 18

Z = 180 - 64 - 18 = 98

Answer:

1. 19 Degrees

2. 63 Degrees

3. 37 Degrees

4. 119 Degrees

5. 69 Degrees

6. 71 Degrees

7.1 65 Degrees

7.2 48 Degrees

7.3 42 Degrees

Step-by-step explanation:

Angles in a triangle always add up to 180 degrees. (180-79-82=19 for the first one)

The little box in a triangle represent 90 degrees.

7.2 Vertical Angles are equal to each other

solutions:

1) G ≅ F

2) DA ≅  ES

Explanation:

Q)1

ΔBIG ≅ ΔFNS

pairs that are congruent:

From the list given,

→ G ≅ F is not necessarily congruent.

Q)2

ΔDAL ≅ ΔEKS

pairs that are congruent:

From the list given,

DA ≅  ES  is not necessarily congruent.

Usually the congruence is done according to naming

So

<B=F

<I=<N

<G=<S

#2

Check the naming

So

DA=EK

So option D

The percentage 68% is converted into a fraction number as 17/25.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

The amount of any product is presented as though it were a percentage of a hundred. The ratio is one-quarter of one hundred.

The faction number is given in the form of a percentage. Then the percentage is converted into a decimal number by dividing 100.

⇒ 68%

⇒ 0.68 x 100 / 100

⇒ 68 / 100

⇒ 17 / 25

The percentage 68% is converted into a fraction number as 17/25.

More about the fraction number link is given below.

https://brainly.com/question/78672

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Answer:

the answer is 6 1/2

Step-by-step explanation:

I solved using calculator

Answer:

6 1/2

Step-by-step explanation:

Answer:

0.729 cubic millimeters

Step-by-step explanation:

Here,

Length ( l ) = 0.9 mm

Base ( b ) = 0.9 mm

Height ( h ) = 0.9 mm

l = b = h = 0.9 mm = a

To find : Volume

This shape is a cube.

Formula : -

Volume of cube = a³

Volume of cube

= 0.9³

= 0.9 x 0.9 x 0.9

= 0.729 cubic milimeters

Answer:

Formula for volume of cube;

V = [tex]s^{3}[/tex]

Where 's' represents one side of a cube which is being cubed.

or

V = w · l · h

Where 'w' stands for the width, 'l' is the length, and 'h' represents the height.

For this, I'll be using the formula [tex]s^{3}[/tex].

What we know:

Use one of these sides to substitute for 's';

V = [tex]s^{3}[/tex]

V = 0.9^3 ← (The " ^ " symbol is another way of showing to the power of.)

V = (0.9 · 0.9 · 0.9)

V = 0.729 mm, the volume of this cube is 0.729 cubic millimetres.

Answer:

A=61.23

Step-by-step explanation:

Answer:

5x=2x+12

5x-2x=12

3x=12

x=4

A is the coreect one

Answer:

x = 9

Step-by-step explanation:

Simplifying

2 + -6(1 + -1x) = 6 + -4(-1x + -2)

2 + (1 * -6 + -1x * -6) = 6 + -4(-1x + -2)

2 + (-6 + 6x) = 6 + -4(-1x + -2)

Combine like terms: 2 + -6 = -4

-4 + 6x = 6 + -4(-1x + -2)

Reorder the terms:

-4 + 6x = 6 + -4(-2 + -1x)

-4 + 6x = 6 + (-2 * -4 + -1x * -4)

-4 + 6x = 6 + (8 + 4x)

Combine like terms: 6 + 8 = 14

-4 + 6x = 14 + 4x

Solving

-4 + 6x = 14 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-4 + 6x + -4x = 14 + 4x + -4x

Combine like terms: 6x + -4x = 2x

-4 + 2x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0

-4 + 2x = 14 + 0

-4 + 2x = 14

Add '4' to each side of the equation.

-4 + 4 + 2x = 14 + 4

Combine like terms: -4 + 4 = 0

0 + 2x = 14 + 4

2x = 14 + 4

Combine like terms: 14 + 4 = 18

2x = 18

Divide each side by '2'.

x = 9

Simplifying

x = 9

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

4+6+7+8+10= 35/5= 7

Median and Mean= 7

Answer:

27

Step-by-step explanation:

[tex]\frac{3^2\left(2^3+4\right)}{2^2}[/tex]

[tex]\mathrm{Solve\;3^2\cdot(2^3+4):108}[/tex]

[tex]\mathrm{Solve\;2^2:4}[/tex]

[tex]=\frac{108}{4}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{108}{4}=27[/tex]

~Lenvy~

Answer:

what's the question

Step-by-step explanation:

Answer:

a) 160km

b) it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes

Step-by-step explanation:

a) d=speedxtime

so, 64x2. 5=160km

b) time=d/s

so, 160/50

it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes

Febuary 10th because on the left colom it showss the dates just look for the 10

[tex]===================================[/tex]

let's find the value of h(2)

we know that

h(r)=5r-5

which means

h of r is 5 times r minus 5

hence

h of 2 is 5 times 2 minus 5

simplify:

h(2)=5(2)-5

h(2)=10-5

h(2)=5

[tex]==================================[/tex]

Answer:

5

Step-by-step explanation:

h(2)=5r-5

=5×2-5

=10-5

=5

Answer:

[tex] {3}^{2} = 9 \\ \\ 81 = 9[/tex]

Answers:

Choice A) 0

Choice B) 0.5

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

Explanation:

Matia claims that [tex]x^2 > x[/tex]

However, the claim isn't true when 0 ≤ x ≤ 1.

For example, x = 0 leads to [tex]x^2 = 0^2 = 0[/tex]

Meaning that [tex]x^2 > x[/tex] would update to [tex]0 > 0[/tex] which is false.

------------------

Similarly, if x = 0.5, then

[tex]x^2 > x\\\\0.5^2 > 0.5\\\\0.25 > 0.5 \ \text{which is also false}\\\\[/tex]

Because the last inequality is false, the first inequality must also be false for x = 0.5

-------------------

Those last two previous sections showed that x = 0 and x = 0.5 are counter-examples to Matia's claim to thereby prove it false.

Answer:

26535600

Step-by-step explanation:

This took so much work to get into a format I could read hahaha!

I hope it helps!

30 x 12 x -13 x 15(12+-13+15)(12+-13)(12+15) = 26535600

The function that represent this exponential decay is given as y = A(0.85)ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that A is the initial value, there is a decay of 15%, hence:

b = 100% - 15% = 0.85

The function that represent this exponential decay is given as y = A(0.85)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

100.32

Step-by-step explanation:

First, we have to find 14% of 88

14% of 88 is = 88 x 14/100

                  = 12.32

Now we have to increase the number 88 by 14%, which means we have to add 14% of 88 (12.32) to the given number (88)  

88 + (14% of 88)

= 88 + 12.32

=100.32 pounds

The quarterly payment will be $1,127.86

Compound interest is the interest on a loan or deposit that  levied on both the first principal and the collected interest from past periods.

The amortization formula is ...

[tex]A=\dfrac{P\timesr}{(1-(1+r)^{-n}}[/tex]

where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.

Here, we have

P=$16,231, r=0.051/4=0.01275, n=4·4=16.

So, the payment is ...

[tex]A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}[/tex]  

[tex]A=$1127.86[/tex]

Hence the quarterly payment amount is $1,127.86.

To know more about Compound interest, follow

https://brainly.com/question/24924853

The similar Triangle OPN and triangle LMN are similar have the ratio LM / MN = OP / NP

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Triangle OPN and triangle LMN are similar, hence:

LM / MN = OP / NP

The similar Triangle OPN and triangle LMN are similar have the ratio LM / MN = OP / NP

Find out more on similar figures at: https://brainly.com/question/2644832

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

x=4 + y/7

y= -28 + 7x

Step-by-step explanation:

The volume of the rectangular lunch box is the amount of space in it

The volume in terms of W is LW^2 = 443.75

The volume is given as:

V = 355

Let the width of the box be W, and the height be H; such that:

W = 1.25H

Make H the subject

H = W/1.25

The volume is calculated as:

V = LWH

So, we have:

355 = L * W * W/1.25

Multiply through by 1.25

443.75 = L * W * W

This gives

443.75 = LW^2

Rewrite as:

LW^2 = 443.75

The diagram is not given. So, the question cannot be solved further

Hence, the volume in terms of W is LW^2 = 443.75

Read more about volumes at:

https://brainly.com/question/1972490

Answer:

2513.27

Step-by-step explanation:

V=πr^2h=π·102·8≈2513.27412