express in simplest radical form.

Answer:

AA Similarty

Step-by-step explanation: We are given that two angles are congruent so we use AA SImilarity. Stating that if  two angles are congruent, then the figures are similar.

The postulate that can be used to prove that triangles ABC and DEF are similar triangles is: C. AA Similarity Postulate.

The AA similarity postulate states that when two triangles have two pairs of corresponding angles that are congruent to each other, the two triangles are regarded as similar triangles.

Thus, triangles ABC and DEF have:

two pairs of congruent angles - ∠B ≅ ∠E and ∠C ≅ ∠F.

Therefore, the postulate that can be used to prove that triangles ABC and DEF are similar triangles is: C. AA Similarity Postulate.

Learn more about the AA Similarity Postulate on:

https://brainly.com/question/2166570

Answer:

2i^2+18i+7

Step-by-step explanation:

(5i^2+8i+10)-(3i^2-10i+3)

5i^2+8i+10-3i^2+10i-3

2i^2+18i+7

Step-by-step explanation:

A

[tex]180 - 60 - 70 = 50 \\x = 180 - 50 = 130 \\ x = 130[/tex]

Answer:

The value of 39% would be called parameter.

Step-by-step explanation:

When a percentage refers to a sample, it is called a statistic.

When it refers to a population, it is called a parameter.

The sample of Indiana voters was intended to represent all Indiana voters;

This means that the percentage will be used with the following meaning:

"39% of all Indiana voters ..."

That is, referring to the entire population(in this case, all Indiana voters), so would be a parameter.

Answer:

simple.

Step-by-step explanation:

If you know the angle of a straight line, its 180. first, subtract 180-135. this wqould be 45. therefore, the interior angle is 45. We know that a triangles area always adds to 180, so it would be 45+x+74=180. this would be x=61. to check, add the same thing, 45+74, but instead of x add 61.

Answer:

False

If the transformations include a reflection, then the orientation will change. A translation or rotation will preserve the original orientation

Answer:

[tex]\frac{3}{52}[/tex]

Step-by-step explanation:

Hope this helps! Ask me anything if you have any questions! I'm free to help you anytime!

Answer:

Step-by-step explanation:

3x-y=-5

y=3x+5

20x-3(3x+5)=4

20x-9x-15=4

11x=19

x=[tex]\frac{19}{11}[/tex]

y=3([tex]\frac{19}{11}[/tex])+5

y=[tex]\frac{112}{11}[/tex]

Answer:

A) t(x)=948(0.955)^x

Step-by-step explanation:

The key term here is decreases by. This means there's going to be exponential decay. The exponential decay factor, r, in this case, will be r=1-0.045=0.955 and we also know this is exponential decay because r<1. The only possible option that works is A because when x=0 the result should be $948 because only 0 years have passed!

Answer:

there are 84 pages in the book.

Step-by-step explanation:

let's call the pages in the book b.

1/3b + 1/3b + 28 = b

2/3b + 28 = b

subtract 2/3b from both sides of the equation

2/3b - 2/3b + 28 = b - 2/3b

28 = b - 2/3b

28 = b/3

multiply both sides of the equation by 3

28 * 3 = b/3 * 3

28 * 3 = b

84 = b

Answer:

The book has 84 pages

Step-by-step explanation:

Equations

Let's make:

x = number of pages of the book

Alex read 1/3x of the book on Monday, 28 pages on Tuesday, and still has 1/3x left to read. The sum of all these portions add up to the number of pages of the book, thus:

[tex]\displaystyle \frac{x}{3}+28+\frac{x}{3}=x[/tex]

Multiplying by 3:

[tex]x+84+x=3x[/tex]

Simplifying:

x = 84

The book has 84 pages

Answer:

Rate in still water = 27 mph

Rate in the current =36 mph

Step-by-step explanation:

The rate is the speed the boat use to travel in the water

The distance travelled upstream = 108 miles

The time taken to travel upstream = 4 hours

The rate in still water /upstream = 108/4 = 27 mph

The rate in the current /downstream = 108/3 =36 mph

Answer:

The correct Answer is - Fails the true premises test and passes the proper form test.

Step-by-step explanation:

Given,

The first premise is - All birds can fly

The second premise is - Penguins are birds

Conclusion - Penguins can fly

As we know that all birds cannot fly , so first premise is not true.

Penguins is a bird , it is true . So second premise is true.

As , to pass the true premise test, both premises has to be true

But here, in this question , one premise is not true

So, it Fails the true premises test.

As the argument is valid

If the premises is true , then the conclusion is valid

So, it passes the proper form test.

Answer:

$5 for 8 pens

Step-by-step explanation:

0.625 times 8= 5 dollars

0.625 times 50= 31.25

which is way cheaper

Answer:

5 for 8 pens

Step-by-step explanation:

I did it on a paper.

Lol

Answer:

=2/3

Step-by-step explanation:

Answer:

   [tex]x = \sqrt{\frac{7}{2} }[/tex]

Step-by-step explanation:

Explanation

From given graph

          AC = √7

 Given angle ∝ = 45°

    [tex]cos\alpha = \frac{adjacentside}{Opposite side}[/tex]

   [tex]cos45 = \frac{x}{\sqrt{7} }[/tex]

      [tex]\frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }[/tex]

       [tex]x = \frac{\sqrt{7} }{\sqrt{2} }[/tex]

      [tex]x = \sqrt{\frac{7}{2} }[/tex]

     x = 1.8708

Answer:

half of them 50% .5 4/8 1/2

Answer:

4/8 or 1/2 or 50%

Step-by-step explanation:

According to your info in the question:

4 planets are gas giants.

8 total planets.

4 / 8 simplified is 1/2

Answer:

33

Step-by-step explanation:

because 165 divided by 5 is 33 and if you add 33 5 times it gives you 165

Answer:

58080 Yards

Step-by-step explanation:

165/5 = 33 miles an hour

33 miles an hour ~ 58080 yards an hour

Answer: -1

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

She bought 5 pairs of socks which are 3 dollars each

(5 times 3 = 15 )

With the 25 dollar shorts

( 25 + 15 = 40 )

with a coupon of half off

( 40 divided by 2 = 20)

Answer:

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

Step-by-step explanation:

Given that;

mean x" = 5.4

standard deviation σ = 0.7  

n = 6

Null hypothesis H₀ : μ = 5.0  

Alternative hypothesis H₁ : μ > 5.0    

∝ = 0.025    

now,

t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4

degree of freedom df = n-1 = 6 - 1 = 5

T critical = 2.571

Therefore; t < T critical,

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

Answer:

113

Step-by-step explanation:

divide the volume with the length

Answer:

81 squared feet

Step-by-step explanation:

Answer:31

Step-by-step explanation:

59=64

(a) The lowest fuel efficiency in 30's is 31

(b) The lowest fuel efficiency in the overall sample is 13

(c) There are 4 cars in the sample that have fuel efficiencies in 40's

Given :

Stem and leaf display of data

Fuel efficiency (miles per gallon)

1    3

2    3 9

3    1 1 6 7

4    3 4 5 6

5    1 3 3 8

Explanation :

(A) We need to find the lowest fuel efficiency in 30's

So we look at the data's in third row

It shows the fuel efficiency of 31,31,36,37 miles per gallon

The lowest fuel efficiency in 30's is 31

(B) Lets write the fuel efficiency from the given table

13, 23, 29, 31,31,36, 37, 43, 44, 45, 46, 51, 53, 53, 58

The lowest fuel efficiency in the overall sample is 13

(C) Lets write the fuel efficiency of 40's

43, 44, 45, 46

So, there are 4 cars in the sample that have fuel efficiencies in 40's

Learn more : brainly.com/question/19228281

Answer:

a. quadrant II

b. quadrant III

c. quadrant I

d. quadrant IV

e. y axis

f. x axis

Step-by-step explanation:

Answer:

2.5 meters per second.

Step-by-step explanation:

[tex]\frac{\text{meters}}{\text{seconds}}=\frac{10}{4}=\frac{10/4}{4/4}=\boxed{\frac{2.5}{1}}[/tex]

Max's walking rate should be 2.5 meters per second.

Hope this helps.

Answer:

2.5 meter

You have to do 10÷4 wich is 2.5 and thats your awnser!

[tex]\frac{3}{8}(24)=\boxed{9}[/tex]

A total of 6 students play sudoku and checkers both.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that,

Number of students = 24

Fraction who plays checkers = 2/3

So,

⇒ 2/3 × 24 = 16 students.

Now,

3/8 fraction of students(out of this 16) also play sudoku

So,

3/8 × 16 = 6 students.

Hence "A total of 6 students play sudoku and checkers both".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

The given question is incorrect,the correct question is ;

In Mr. Barclay's classroom, 2/3  of the students play checkers. Of the students who play checkers 3/8,  also play sudoku. If there are 24 students in his class, how many play checkers and sudoku? There is/are a student(s) who play both checkers and sudoku