how to write 24b^{2}+96b into a equivalent expression

Answer:

SAS congruence postulate

Step-by-step explanation:

It is given that two sides are congruent and one included angle is also congruent, this is enough to use the SAS congruence postulate and prove the triangles congruent.

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so the total number is 60, and we can just divide it by (3+9) and then distribute accordingly.

[tex]\stackrel{ratio~3:9}{60}\qquad \qquad 3\cdot \frac{60}{3+9}~~ :~~9\cdot \frac{60}{3+9}\implies 3\cdot \frac{60}{12}~~ :~~9\cdot \frac{60}{12} \\\\\\ 3(5)~~ : ~~9(5)\implies 15~~:~~45[/tex]

Answer: In a 30-60-90  triangle the side opposite the 30 degree angle is half the length of the hypotenuse. The shorter leg is the side opposite the 30 degree angle, therefore the shorter leg = 30/2 = 15

By the Pythagorean theorem

the longer leg = √(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units

Answer:

The volume of the figure is 51.66 in3

Step-by-step explanation:

sol;

volume of prism=area of trangular base * length of prism

                          =1/2*b*p*7.2

                          =1/2*4.1*3.5*7.2

                          =51.66 in3

Answer:

2

Step-by-step explanation:

Look at the picture. That's the probability tree for this question. Since you replace the marble, the second branch will only have 4 outcomes

(4/5)*(3/4)=(3/5)

Look at the second picture. That's what'll happen if you do replace the marble and it'll have 5 outcomes

(4/5)*(4/5)=16/25

If you make the denominators the same, itll be 15/25 if you replace the marble

And 16/25 if you don't replace the marble

Since 16/25 > 15/25, it'll be higher if you don't replace the first marble.

:))

The equivalent fraction will be;

⇒ 11/27

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The number is,

⇒ 0.407

Now,

Since, The number is,

⇒ 0.407

Hence, The equivalent fraction will be;

⇒ 407/1000 = 0.407

And, By option B;

⇒ 11/27 = 0.407

Thus, The equivalent fraction will be;

⇒ 11/27

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Answer:

12

Step-by-step explanation:

If she's only selecting one candy, then you simply need to count how many candies there are.

Answer:

12 are the possible outcomes

Step-by-step explanation:

because probability is a game of chance

possible outcomes/ total outcomes

Answer:

Exact Form:

72/5

Decimal Form:

14.4

Mixed Number Form:

14 2/5

Step-by-step explanation:

yea thats what i got

Answer:

2$

Step-by-step explanation:

10$ - 80%=2$

The sale price is 2$.

Answer:

127.24

Step-by-step explanation:

A= 3.14(pie) r^2

A=3.14(pie) 9^2

A=254.47 ÷2

A= 127.24

Answer:

x = 24

Step-by-step explanation:

A 45- 45- 90 triangle is isosceles ( base angles congruent )

The the legs are congruent , both 12[tex]\sqrt{2}[/tex]

Using Pythagoras' identity in the right triangle , then

x² = (12[tex]\sqrt{2}[/tex] )² + (12[tex]\sqrt{2}[/tex] )² = 288 + 288 = 576 ( take square root of both sides )

x = [tex]\sqrt{576}[/tex] = 24

The value of x in the given triangle is 24 units.

The Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given that, a 45-45-90 triangle with a leg of length 12 times the square root of 2 and hypotenuse of length x

Let the triangle be ABC, right-angled at B,

Using the Pythagoras theorem, we get,

AB²+BC² = AC²

(12√2)²+(12√2)² = x²

288+288 = x²

x² = 576

x = √576

x = 24

Hence, the length of the hypotenuse is 24 units.

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Answer:

answer is B

Step-by-step explanation:

trust me I took this quiz already

rainfall in mm

Step-by-step explanation:

we cant count water in inches

Answer:

I think is C. If not i'm sorry.

Answer:

Explanation:

To find the area of the triangle, we must multiply 1/2 x base x altitude to get the answer. But first, we need to simplify the height. We are given the base and the altitude.

Solution:

Hence, the area of the triangle is 27x³ + 27x² - 4 meters².

Answer:

8x + 1

Step-by-step explanation:

Hope this Helps!

Answer:

t=11/6

u=1/9

Step-by-step explanation:

Answer: .......

ok done. Thank to me :>

Answer:

7√10

Step-by-step explanation:

√14 × √35 = √(14 × 35) = √(2 × 7 × 5 × 7) = √(49 × 10) = 7√10

Answer:

A: Y = X + 2.5

B: 10

Step-by-step explanation:

A: To form the equation you have to use one of the numbers in X (U.k Size) for this example we'll use 3 and to form the equation you have to see how much to add to X ( UK size) to get Y ( US size) and in this case it's +2.5

B: You can use the equation we just formed to get this answer by adding 2.5 to 7.5 which will give you 10

Answer:

[tex] \frac{6}{30} = \frac{x}{100} [/tex]

[tex]30(x) = 100(6)[/tex]

[tex]30 \times x = 100 \times 6[/tex]

[tex]30x = 600[/tex]

[tex]x = \frac{60 \cancel0}{3 \cancel0} [/tex]

[tex]x = \cancel \frac{60}{3} \: {}^{20} [/tex]

[tex]x = 20[/tex]

Answer:

Step-by-step explanation:

1) Experiment - any activity that has two or more outcomes

2) Complementary events - two disjoint events of which one or the other must occur

3) Event - a specific outcome or group of outcomes

4) Disjoint events - events that have no outcomes in common

Answer:

Infinitely many

Step-by-step explanation:

[tex]-2m-2m=-4m[/tex]

Combine −2m and −2m to get −4m.

[tex]-4m=-4m[/tex]

Add 4m to both sides.

[tex]-4m+4m=0[/tex]

Combine −4m and 4m to get 0.

0=0

Compare 0 and 0.

True

This is true for any m.

m∈R\

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

The probability that the family has 0 teenagers who own an Apple device is 44.44%, the probability that it has 1 is 44.44% and the probability that it has 2 is 11.11%.

Given that in Hypothetical Town, the probability that a teenager in a household has an Android device is 0.67 and the probability that a teenager in a household owns an Apple device is 0.33, to determine, if a family has two teenagers, the probability that the family has 0, 1, or 2 teenagers who own an Apple device, the following calculation must be performed:

Therefore, the probability that the family has 0 teenagers who own an Apple device is 44.44%, the probability that it has 1 is 44.44% and the probability that it has 2 is 11.11%.

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Answer:

12/7=Big/Small

Step-by-step explanation:

A side in the smaller square is 7. A side in the bigger square is 12. That means the bigger side compared to the smaller side will be 12:7. That's the definition of a scale factor.

Answer:

The coefficient of q is 7

Step-by-step explanation:

The two expressions are

(23q – 34) and (–16q – r)

and .

(–16q – r)

The sum of the two expressions is

23q - 34 + -16q - r

When we group like terms the expression will be,

=23q - 16q - r - 34

When we  simplify the expression will now be

=7q - r - 34

The coefficient of q is the constant behind q in the expression.

The coefficient of q is therefore 7.

Answer:

A.  Infinite

B.  One

C.  None

D.  None

See attachment.

By using the distributive property, the equivalent expression would be 15x + 30.

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

By applying distributive property

15(x + 2)

= (15 × x) + (15 × 2)

= 15x + 30

Thus, The equivalent expression would be 15x + 30

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The expression equivalent to 15(x + 2) is 15x + 30

Using the distributive property, we can expand the expression 15(x + 2) as follows:

Multiply 15 by each term inside the parentheses:

15 * x + 15 * 2

Simplify each multiplication:

15x + 30

Therefore, the expression equivalent to 15(x + 2) is 15x + 30. The distributive property allows us to distribute the factor (15) to each term inside the parentheses and then combine the resulting terms to obtain the simplified expression.

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