determine if the 2 triangles are similar or not. if they are similar choose the correct similarity theorem below.
A
B
C
D

Answer:

1

Step-by-step explanation:

in an equilateral triangle all the sides are equal

We are given:

To Find: ∠E

Concept Used:

Finding the value of 'x':

Since adjacent angles of a parallelogram are Supplementary:

∠D + ∠C = 180

5x + 10 + 13x - 10 = 180              [replacing the values of angle C and D]

18x = 180

x = 10                                          [dividing both sides by 18]

__________________________________________________________

Finding Measure of Angle D:

We are given that:

∠D = 5x + 10

∠D = 5(10) + 10                    [since x = 10]

∠D = 60°

__________________________________________________________

Finding the measure of ∠E:

∠D and ∠E are Adjacent angles

Since Adjacent angles are Supplementary:

∠D + ∠E = 180

60 + ∠E = 180

∠E = 120°                                  [subtracting 60 from both sides]

Hence, the measure of ∠E = 120°

Answer:

just one: 7 you isolate the numbers by doing -3n + 4n = 7, and u get n = 7

Answer:

2

Step-by-step explanation:

my soulstinos were Solution 1)

3

n

+

7

=

−

1

3

n

+

7

−

7

=

−

1

−

7

3

n

+

0

=

−

8

3

n

=

−

8

3

n

3

=

−

8

3

3

n

3

=

−

8

3

n

=

−

8

3

Solution 2)

3

n

+

7

=

1

3

n

+

7

−

7

=

1

−

7

3

n

+

0

=

−

6

3

n

=

−

6

3

n

3

=

−

6

3

3

n

3

=

−

2

n

=

−

2

The solution is:

n

=

−

8

3

and

n

=

−

2

Answer:

Step-by-step explanation:

first step, multiply 4 and 3

4x3=12  ,  we write is 1.2x10

10^5 x10^3=10^8

4 x10^5 x 3 x 10^3= 1.2x10^9

The required answer is 1.20 x 10⁹ in scientific notation.

Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.

Here,
To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. Applying this rule, we get:

= (4.0 x 10⁵) x (3.0 x 10³)
= (4.0 x 3.0) x (10³ x 10⁵)

= 12.0 x 10⁵⁺³
= 12.0 x 10⁸

However, the answer is not yet in proper scientific notation form because the coefficient 12.0 is not between 1 and 10. To express the answer in scientific notation, we need to adjust the coefficient and exponent so that the coefficient is between 1 and 10. We can do this by dividing the coefficient by 10 and increasing the exponent by 1. Doing this, we get:

12.0 x 10⁸ = 1.20 x 10⁹

Therefore, the answer is 1.20 x 10⁹ in scientific notation.

Learn more about scientific notation here: https://brainly.com/question/13091583
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Step-by-step explanation:

y = 3 is a horizontal line. A line that is parallel would also have the general equation y = c.

Since it passes through (-2, -8) with y-coordinate -8, the line equation is y = -8. (C)

the “/“ sign means division, what kind of question even is this.

9/5= 9÷5

19/28=19÷28

So for the last one, we can turn it into an improper fraction which is:

8/5 = 8÷5

Answer:

5

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful

Answer:

64x64x64=262,144

Step-by-step explanation: mark as brainest plsssssssssssssss

Given:

An airport limo service charges riders a fixed charge of $15 plus  $4.00 per mile.

To find:

Distance in miles must a rider go to have an  average cost per mile of $4.60.

Solution:

Let x be the number of miles the rider travel.

Total charges = Fixed charges + Variable charges

According to the question,

Fixed charges = $15

Variable charges = $4x

So,  total charges

[tex]T=15+4x[/tex]

Divide the total charges by number of miles to get the cost per mile.

[tex]\text{Cost per mile}=\dfrac{15+4x}{x}[/tex]

Average cost per mile is $4.60.

[tex]4.60=\dfrac{15+4x}{x}[/tex]

[tex]4.60x=15+4x[/tex]

[tex]4.60x-4x=15[/tex]

[tex]0.60x=15[/tex]

Divide both sides by 0.60.

[tex]x=\dfrac{15}{0.60}[/tex]

[tex]x=25[/tex]

Therefore, the required number of miles is 25.

Answer:

2.25

Step-by-step explanation:

1.5 / 0.666 (repeating) = 2.25

Answer:

There are 2 one-quarter cup servings in 1 half cup

In 5.25 cups there are 21 one-quarter cup servings

Step-by-step explanation:

So 21 quarter cup servings divided by 2 quarter cup servings per half cup serving will yield the number of half cup servings.

21/2 is 10.5, so there are ten and half, half cup servings in 5.25 cups

Answer:

9(4a+1)=

10(4+5d)=

7(4-f)=

Step-By-Step Solution:

The greatest common factor is the largest number that both numbers can be divided by. For example, in #1, 36 and 9 can both be divided by 9 to become 4 and 1.

Answer:

2 1/6 longer

Step-by-step explanation:

3 1/2-1 1/3

7/2 - 4/3

21/6-8/6

13/6 or 2 1/6

so 2 1/6 longer.

Hope this helps :D

Answer:

2 1/6 hours longer

Step-by-step explanation:

Hope the helps!

Answer:

2 boxes

Step-by-step explanation:

do 16 times 2 you get 32 so there are 32 green crayons 32/9 9 times 3 is 36 which is over 32 so you cant fill 3 boxes 9 times 2 equals 27 so the answer would be she can fill 2 boxes

Answer:

this is the answer

Step-by-step explanation:

1125=11×425×4=44100=0.44

Answer:

0.2%

Step-by-step explanation:

18/9000×100%

now use calculator

Answer: 0.2 percent

Step-by-step explanation:

This is the number of people who were allergic to the shampoo/ total people

18/9000

Simplify!

1/500=0.02=0.2 percent of people

Answer:

384

Step-by-step explanation:

12 book stores and 32 copies of a book for each book store

12 times 32 = 384 books

Answer:

yes.

Step-by-step explanation:

r these just free points?

9514 1404 393

Answer:

  16/7

Step-by-step explanation:

If the segments are congruent, their lengths are equal:

  (1/2)x -3 = 5 -3x

  (3 1/2)x = 8

  x = 8/(3.5) = 16/7

The value of x is 16/7.

_____

Comment on the question

This value of x makes the lengths of the segments be -13/7 units. Usually, negative lengths are considered impossible for line segments.

Answer:

38

Step-by-step explanation:

Answer:

8 gallons equals 64 pints since there are 8 pints in a gallon

Step-by-step explanation:

take care

Answer:

its 10^3 power or 1000

Step-by-step explanation:

Answer:

0.42352941176

Step-by-step explanation:

hope this helps

The value of quotient will be 0.42.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

''4/5 divided by 17/9''

Now,

Since, The expression is,

''4/5 divided by 17/9''

Hence, After solving we get;

⇒ 4/5 ÷ 17/9

⇒ 4/5 × 9/17

⇒ 36/85

⇒ 0.42

Thus, The value of quotient = 0.42

Learn more about the divide visit:

brainly.com/question/844312

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Answer:

We can't see the graph i can help if you insert it

Step-by-step explanation:

Answer:

X∈[tex]\frac{5}{63}, -\frac{23}{63}[/tex]

Step-by-step explanation:

Answer:

6.37 cm

Step-by-step explanation:

Answer:

I can assure you, that this is not that hard. but. I will help you with one of them.

Step-by-step explanation:

audience-look it up in the dictionary

it's basically a crowd of people.

sebtence- I listened to the audio of the audio book.

Answer:

the time period is 9 years

Step-by-step explanation:

The computation of the number of years is as follows:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

$49,000 = $38,000 × (1 + 0.03)^number of years  

$49,000 ÷ $38,000 = 1.03^number of years  

tlog(1.03) = log($49 ÷ $38)

Now apply the log formula in calculator or in excel  

t = log(49 ÷ 38) / log(1.03)

= 8.6

= 9 years

Hence, the time period is 9 years

Answer:

7x-21

Step-by-step explanation: