Short Response
6. Are the triangles at the right simílar? Explain.

Answer:

x = 18/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

5x + 2 = 20

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 20 does indeed equal 20.

∴ x = 18/5 is a solution to the equation.

[tex]Answer:\ S=96\sqrt[4]{x^9}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\(4x)^\frac{3}{2}=\\\\ (2^2x)^\frac{3}{2} =\\\(2^2)^\frac{3}{2} x^\frac{3}{2} =\\\\2^\frac{2*3}{2} x^\frac{3}{2} \\\\2^3x^\frac{3}{2}=\\\\8x^\frac{3}{2}[/tex]

Thus,

[tex]S=8x^\frac{3}{2} *12x^\frac{3}{4}\\\\ S=8*12x^{\frac{3}{2} +\frac{3}{4}} \\\\S=96x^\frac{3*2+3}{4} \\\\S=96x^\frac{6+3}{4} \\\\S=96x^\frac{9}{4} \\\\S=96\sqrt[4]{x^9}[/tex]

The fraction is [tex]\frac{3}{5}[/tex]

Let's take the fraction as [tex]\frac{a}{b}[/tex]

According to the first statement,

If we add 1 to the numerator and subtract 1 from the denominator a fraction reduces to 1.

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

a + 1 = b -1

a + 2 = b

b = a + 2........(1)

According to the second statement

If we only add 1 to the denominators, it becomes 1/2.

[tex]\frac{a}{b+1}[/tex] = 1/2

2a = b + 1

b = 2z -1 .........(2)

Equating both the equation (1) and (2)

2a - 1 = a + 2

2a - a = 2 + 1

a = 3

Now substitute the value of a in equation (1)

b = 3 + 2

  = 5

Therefore the fraction is [tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex]

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Answer:

a c and d

Step-by-step explanation:

The probability that cards are from different suits is [tex]\frac{39}{51}[/tex]

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

There are 4 suits hearts, diamonds, club and spade in a standard deck of 52 cards.

Each of them has 13 cards each .

So when we pick first card from a single suit

we can pick it in 13 ways , now 12 cards are left.

We can pick the 2nd card from the same suit in 12 different ways .

So to pick 2 cards from a single suit we have 13x12 ways.

to pick 2 card from 4 suits = 4x13x12=624 ways

Total ways of choosing 2 cards from the pack of 52 cards is 52 X 51 =2652

probability that the cards are of same suits=[tex]\frac{624}{2652} =\frac{12}{51}[/tex]

probability that the cards are of different suits=[tex]1-\frac{12}{51} =\frac{39}{51}[/tex]

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Answer:

Im guessing 4

Step-by-step explanation:

or if the number is 2 the answer is 6

Answer:

87.5 inches long

Step-by-step explanation:

250 x 0.35 = 87.5

Answer:262.5

Step-by-step explanation:

all i did was just subtract 35% from 250 and it is 262.5in

hope this helps

Answer:

I belive it is 'A'  9

Step-by-step explanation:

because the square root is 8.66025404 so that rounded to the nearest integer would be 9

Answer:

The equations are;

4(2x + 5) = 3(2x + 8)

x = 2

Perimeter of each shape is 36

Step-by-step explanation:

Mathematically;

The perimeter of a square is 4L

while the perimeter of an equilateral triangle is 3L

where L represents the lengths of the sides

Mathematically, from what we have in the question, since the perimeter are equal;

4(2x + 5) = 3(2x + 8)

8x + 20 = 6x + 24

8x-6x = 24-20

2x = 4

x = 4/2

x = 2

The side of the square will measure;

2(2) + 5 = 9

Its perimeter is 4(9) = 36

The side of the triangle will measure

2(2) + 8 = 12

Its perimeter will be 3(12) = 36

Answer:

Answer the first choice.

Step-by-step explanation:

Given

Points (-2,6) and (0,2)

y2 = 6

y1 = 2

x2 = - 2

x1 =0

m = (y2 - y1)/(x2 -x1)

Solution

m = (6 - 2)/(-2 - 0)

m = 4 / - 2                 <<<< ===== Answer..

m = - 2

Remark

If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.

Answer:

[tex]2^{21}[/tex]

Step-by-step explanation:

[tex](a^{m} )^{n}[/tex] = [tex]a^{mn}[/tex]

[tex](2^{7})^{3}[/tex] = [tex]2^{21}[/tex]

Answer: 128^3 or 2097152

Step-by-step explanation: maybe mark me brainliest? your choice! have a good day

Answer:

 its 83

Step-by-step explanation:

The value of X for carlon evaporate is 36. 

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

A linear equation is an algebraic equation of the form y=mx+b involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Given that

Total amount of solution = 90          

total amount of salt = 15 % of 90

                                             = [tex]90 \times \frac{15}{100}[/tex]

                                             = 13.5        

Now removed X from the solution

Then, remaining solution is 90 - X

Percentage of salt in the remaining solution [tex]= \frac{salt}{remaining solution}[/tex]

Given that , % of salt in the remaining solution is equal to 25% then, Percentage of salt in the remaining solution

⇒ [tex]\frac{salt}{remaining solution}[/tex] = 25%

⇒ [tex]\frac{13.5}{90 - X} = \frac{25}{100}[/tex]

⇒1350 = 2250 - 25 x

⇒ 25 x =  2250 - 1350            

⇒ 25 x =  900          

⇒ x = [tex]\frac{900}{25}[/tex]          

⇒ x =36

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Answer:

A

Step-by-step explanation:

the answer is option A as

6x + 12x = 90

so 6x + 12x + 90 = 90 + 90 + 180

Answer:

the answer to that question is D

Answer:

its C

Step-by-step explanation:

Answer: 2.52Hg

Step-by-step explanation:

First and foremost, we should realize that:

1 moles Mercury = 200.59 gram

Therefore, the number of moles of mercury, Hg is in a sample of 505 grams would be calculated as:

= 505/200.59

= 2.52

Answer:

the answer would be the one with 25x+1,852=2,972

Step-by-step explanation:

please mark brainliest

Answer:

J

Step-by-step explanation:

Theres no explanation. I just did it in my head and none of the other answers made sense so its gotta be J :')

Answer:

straight line that passes through the origin

Step-by-step explanation:

Two variables are said to have a direct variation or proportional relationship if it can be represented by y = kx, where k is a constant.

Comparing this with the equation of a straight line y = mx + b, where m is the slope of the line and b is the y intercept (value of y when x = 0), We can tell if the say that the graph of a direct variation or proportional relationship is a straight line with no y intercept (b = 0, that is it passes through the origin).

Answer:

7x - 8y

Step-by-step explanation:

Lol is this delta math

Probability of not picking up a red marble = 8/15

No of red marbles = 7

No of green marbles = 5

No of blue marbles = 3

Total sample space = 3+7+5 = 15 marbles

Probability of picking out blue marble = 3/15

Probability of picking out red marbles = 7/15

Probability of picking out green marbles = 5/15

Probability of not picking up a red marble  = 1 - 7/15 = 8/15

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Answer:

5089.4cm³ (rounded to 1 d.p.)

Step-by-step explanation:

Volume of cylinder = [tex]\pi[/tex] × r² × h

Volume of cylinder = [tex]\pi[/tex] × 9² × 20

                                = 1620[tex]\pi[/tex]

                                = 5089.4cm³ (rounded to 1 d.p.)

Answer:

Not proportional

Step-by-step explanation:

3/6=1/3

14/28=1/2

16/32=1/3

17/34

Answer:

49.6 minutes to create 308 bolts

Step-by-step explanation:

hope this helps :)

Answer:

3

Step-by-step explanation:

3-9=-6 but absolute is 6

Answer:

A

Step-by-step explanation:

I hope this is correct and have a great day

The two latches make known the fact that this is an isosceles triangle. Here, x is the base angle. There are two base angles in isosceles triangles. Base angles have the same measure. This explains the reason for 2x in the equation below.

Here is the set up:

x + x + 32 = 180

2x + 32 = 180

2x = 180 - 32

2x = 148

x = 148/2

x = 74

The value of x is 74 degrees.

Answer:

1

Step-by-step explanation:

x^5 when x = -1 will be -1 because -1^5 = -1

-1 * -9 will equal 9

1/3^2 = 1/9

1/9*9 = 1

Answer:1

Step-by-step explanation:

Answer:

180psi

Step-by-step explanation:

Step one:

given data

P1= 900 psi

T1= 350°C

P2=?

T2=70°C

Required

The final pressure P2

Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up

Applying the expression

P1/T1= P2/T2

substitute:

900/350= P2/70

2.57=P2/70

cross multiply

P2= 2.57*70

P2=180psi