Factor the algebraic expression.
21a+9

Answer:

Step-by-step explanation:

so for the triangles in 7)   they angles are the same in each, that's what the lines are saying,  that they are the same angles, and because the angle are the same, the triangles are just a scale of each other we can say that the X side is just a ratio of the other triangle , or

[tex]\frac{6}{12}[/tex] = [tex]\frac{10}{x}[/tex]

now just solve for X

[tex]\frac{12}{6}[/tex] * [tex]\frac{6}{12}[/tex] = [tex]\frac{10}{x}[/tex] * [tex]\frac{12}{6}[/tex]

x = 120/6

x=20

_______________________________

for the triangles in 8)  same thing

[tex]\frac{x}{3}[/tex] =  [tex]\frac{14}{21}[/tex]

[tex]\frac{3}{1}[/tex] * [tex]\frac{x}{3}[/tex] =  [tex]\frac{14}{21}[/tex] * [tex]\frac{3}{1}[/tex]

X = [tex]\frac{14}{7}[/tex]

X = 2

Answer:

656

Step-by-step explanation:

Given data

Initila population= 490

Rate = 6%

TIme= 5 years

Let us apply the compounding expression

A=P(1+r)^t

substitute

A= 490(1+0.06)^5

A=490(1.06)^5

A=490*1.338

A= 655.62

Hence the approximate Quail population will be 656

Answer:

it is B

Step-by-step explanation:

just combine the like factors

Answer:

C. 7/8

Step-by-step explanation:

3 1/2 = 3.5 and she picked 1/4 of that number. I divided 3.5 by 4 and got 0.875. I then turned that into fraction form for 7/8.

Answer:

are you ok?

Step-by-step explanation:

why did you need help lol

Answer:

onnnnnnnnnmmmmnnnnnnnnnnnnnnnnnnn?

Answer:

The small triangle is a 3-4-5 triangle so x is 4

Hope this helps and brainliest please

Step-by-step explanation:

A lot of times, one of the hardest parts of proving anything is figuring out exactly what you're trying to prove. Fortunately for us, we already have it laid out. We're trying to prove the Pythagorean theorem, which says that on a right triangle with legs a and b and a hypotenuse c, the sides are related by the equation

[tex]a^2+b^2=c^2[/tex]

This particular proof uses similarity, cleverly splitting the original right triangle into three - the original, and two smaller ones. One fact about similar triangles that helps us is that corresponding sides are proportional. This fact is used for the second step of the proof:

[tex]\frac{c}{b}=\frac{b}{d}[/tex] and [tex]\frac{c}{a}= \frac{a}{f}[/tex]

For our proof, we're going to try to go off of this fact to build back the Pythagorean theorem. We'll need an a², a b², and a c² for that, and we can get the first two by cross multiplying each equations, giving us two new ones:

[tex]cd=b^2[/tex] and [tex]cf=a^2[/tex].

This is Statement 3, and we go to it through Multiplication. Next, we can add the two equations together to get the left side of the Pythagorean theorem, factoring a c out of the right side to give us:

[tex]a^2+b^2=cf+cd=c(f+d)[/tex]

This is Statement 4, and we used the Addition property of equality to get it.

Now, looking at the original figure, we can see that the lengths d and f add together to give us a c. We can express that fact with the equation

[tex]d+f=c[/tex]

This is Statement 5, given to us through the Segment addition postulate. Finally, we can use our equation from statement 5 to substitute f + d for c in our equation from Statement 4, giving us the Pythagorean theorem:

[tex]a^2+b^2=c\cdot c=c^2[/tex]

This is Statement 6, our final statement, and it uses the Substitution property of equality to finish our proof.

Answer:

y = 8

Step-by-step explanation:

6 ÷ 4 = 1.5

(y + 4) ÷ y = 1.5

y + 4 = 1.5 y

0.5 y = 4

y = 8

Nearest Thousand is: 8,651, so rounding to it would be 9,000.

Answer:

9,000 is the nearest thousand

Answer:

186/300

0.62

62%

more likely to get the tile z from the second bag

Step-by-step explanation:

Answer:

C??? i think

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

30°,45° and 55° cant exist

Step-by-step explanation:

30 + 45 + 55= 130

a triangle must have 180°

Answer:

Step-by-step explanation:

A1. C = 104°, b = 16, c = 25

Law of Sines: B = arcsin[b·sinC/c} ≅ 38.4°

A = 180-C-B = 37.6°

Law of Sines: a = c·sinA/sinC ≅ 15.7

A2. B = 56°, b = 17, c = 14

Law of Sines: C = arcsin[c·sinB/b] ≅43.1°

A = 180-B-C = 80.9°

Law of Sines: a = b·sinA/sinB ≅ 20.2

B1.  B = 116°, a = 11, c = 15

Law of Cosines: b = √(a² + c² - 2ac·cosB) = 22.2

A = arccos{(b²+c²-a²)/(2bc) ≅26.5°

C = 180-A-B = 37.5°

B2. a=18, b=29, c=30

Law of Cosines: A = arccos{(b²+c²-a²)/(2bc) ≅ 35.5°

Law of Cosines: B = arccos[(a²+c²-b²)/(2ac) = 69.2°

C = 180-A-B = 75.3°

Answer:

Rodolfo has saved the most, Nicola has saved the least.

Step-by-step explanation:

Answer:

5 1/5 miles

Step-by-step explanation:

Given that :

Library is located halfway between park and home ;

Distance between library and park = 1 3/10 miles

Hence, total distance between park and home :

1 3/10 + 1 3/10 = 2 6/10

The distance driven :

Home to park ; park back home

2 6/10 + 2 6/10 = 4 12/10

4 + 12/10 = 4 + 1 2/10

= 5 2/10

= 5 1/5 miles

Who ever needs their hw done for cashapp hmu on insta kk_iwi

Answer:

66

Step-by-step explanation:

Answer:

remove any unnecessary information

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

square them both and add them then square root that answer

Answer: b = 9

Step-by-step explanation:

You should multiply 3 x 3 which will give you 9 than you should subtract it by 9 and that will give you 0 since that is according to your question

Answer:

b = 9

Step-by-step explanation:

3 (3 - b) = 0

9 - b = 0

9 = b

b = 9

Answer:

its 180 sjosjdoe hi irjsodkc

Answer:

1/2

Step-by-step explanation:

bc 4/10 + 1/10= 5/10 divided by 2 =1/2

Answer:

1/2 or 5/10

Step-by-step explanation:

When you are adding fractions you only add the numerator (the top number) 4+1=5. So you get 5/10. But then you have to divide to get the simplest form. You can divide 10 and 5 by 5. So then after you are done dividing you end up with 1/2!

(Hope this helps)

Yours Truely, TheAnimeCatUwU

Answer:

y = 4x

Step-by-step explanation:

Note that each of the output values is 4 times the corresponding input value.

y = 4x ← equation describing the function

Answer:

It is everything except for The outcome of events A and B are dependent on each other.

Step-by-step explanation:

Don't worry about it.

Answers:

A, B, C, E are the correct answers

Explanation:

I got it correct in my test :)