What are equivalent expressions please explain

9514 1404 393

Answer:

  n = 16

Step-by-step explanation:

Angle ABC is the sum of its parts.

  ∠ABC = ∠ABF +∠FBC

  159° = (7n +20)° +(2n -5)°

  159° = 9n° +15° . . . . . . . . . . . . . . collect terms

  144° = 9n° . . . . . . . . . . subtract 15°

  16° = n°

  n = 16

Answer:

11 mm

Step-by-step explanation:

121=area of a rectangle and area of triangle

121=x*8+(0.5)*x*(14-8), 11x=121, x=11

Answer:

[tex]11mm[/tex]

Step-by-step explanation:

Let the unknown side be x

[tex]Area \: \: \: of \: \: the \: \: trapezium = \frac{1}{2} \times (sum \: \: of \: \: \: the \: \: parallel \: sides) \times height \\ 121= \frac{1}{2} \times (8 + 14) \times x \\ 121 \times 2 = 22x \\ 242 = 22x \\ \frac{242}{22} = \frac{22x}{22} \\ 11 = x[/tex]

Answer:

4968

Step-by-step explanation:

432 is 8% of 5400 and after deducting 432 we get 4968.

Answer:

y=6^x-2

Step-by-step explanation:

Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation

Answer:

I don't understand the question?

Answer: A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.

Step-by-step explanation:

They are not independent events because if they were P(A∣B) and P(A) would be equal.

Answer:

Step-by-step explanation:

Just using pythagorean theorem,

13.2²+16.9²=c²

174.24+285.61=c²

c²=√459.85

c= 21.4441134114

c = 21.4 (nearest tenth)

Answer:

3

Step-by-step explanation:

Intercept theorem

DE // CB ⇒ [tex]\frac{AD}{AC} = \frac{AE}{AB}[/tex]

⇒ [tex]\frac{6}{6+?} =\frac{4}{4+2}[/tex]

⇒ ? = 3

Answer:

26

Step-by-step explanation:

Let x = the third angle in the triangle

x = 102 because they are vertical angles

The sum of the angles in the triangle are 180

b+2b+102 =180

3b+102 =180

3b = 180-102

3b = 78

Divide by 3

3b/3 = 78/3

b = 26

Answer:

Its is 26 aka E

Step-by-step explanation:

So we know that a triangle has 180 degrees in total. So we know one side is 102 degrees. 180-102=78. we can do 78 divide by 3 since there is 3b's in total. 78/3=26. Therefore, it is 26 which is E. I hope this helped ^^.

Answer:

first option

3x³ - 6x - 4

HOPE IT HELPS YOU

THANK YOU

Answer:

False

Step-by-step explanation:

When you compare the dots to the numbers, you can see that the 5s and 8s don't match.

The dot plot has 6 5s, but the data has 5.

The dot plot has 2 8s, but the data has 1.

I hope this helps!

pls ❤ and give brainliest pls

Organize the data set:

8,7,5,5,4,2,3,3,4,6,5,4,5,5

2,3,3,4,4,4,5,5,5,5,5,6,7,8

False

Answer:

just input all values as told...

x = 2 (12)(l)(3) - 4(1)

so x = 72 l - 4

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{x = 2(alb) - 4c}[/tex]

[tex]\huge\text{x = 2((12)(l)(3)) - 4(1)}[/tex]

[tex]\huge\text{x = 2(l)(36) - 4(1) }[/tex]

[tex]\huge\text{x = 72l - 4}[/tex]

[tex]\huge\boxed{\textsf{Answer: x = 72l - 4}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

100

Step-by-step explanation:

Hey there!

First, to find the cost of one apple, 50 ÷ 25, which equals 2.

At this point, i am not very sure if you meant to say 75 apples, or $75 apples, so I am just going to give both solutions.

If you meant 75 apples: 75 x 2 = $150

If you meant $75 apples: $75 ÷ 2 = 37.5

Since it isn't realistic to buy 37 apples and one half, round it to 37 apples.

Hope this helps!

Have a great day!

let the n'th term be called x, and the value of the term y,

then there is a function y=a*x + b

that will give us all term we want.

this formula is also used for straight lines.

we just need a and b. we already got two data points. we can just plug the known x/y pairs into the formula

10.5 = a*12 + b

13.5 = a*18 + b

now lets manipulate these lines.

multiply the first line by 3 and the second line by 2

31.5 = a*36 + 3b

27 = a*36 + 2b

subtract the second line from the first line

4.5 = b

yey, we now know b, let's plus b into either line from above, I'll go with the first one, looks easier.

10.5 = a*12 + 4.5

6 = a*12

0.5 = a

now y=a*x + b can be filled with a and b

y = 0.5 * x + 4.5

for x=1 (the first term) it's f(1)=5

each step is 0.5, hence the common difference.

(13.5-10.5)/(18-12)

= 3 / 6

= 0.5

we got the comment difference by looking at the full difference over 6 steps and divined by these 6 steps.

from step 12 to step one it's 11 steps down

10.5 - 0.5*11

= 10.5 - 5.5

= 5

Answer:

It's is C. Y

Step-by-step explanation:

There is the graph and you can see it by yourself :)

Answer:

Therefore, the value of x is 5.

Step-by-step explanation:

We can match each equation to find the solutions.

[tex]8x-40=x^{2}-2x-15[/tex]

[tex]0=x^{2}-2x-8x-15+40[/tex]

[tex]x^{2}-10x+25=0[/tex]

Now, we need solve this quadratic equation.

[tex](x-5)^{2}=0[/tex]

Therefore, the value of x is 5.

I hope it helps you!

Answer:

Fermat FC won 27 games.

Step-by-step explanation:

Convert percentage to fraction

45% --> 45/100

Multiply the fraction by the dividend

45/100 x 60 = 27

Answer:

factors of 36 are 1,2,3,4,6,9,12,18,and 36

Answer:

-24.5 or 7i or -71 (see below)

Step-by-step explanation:

Im gonna guess that you mean (22-16)(2x+49)=0

Therefore, since one of the brackets must be equal to 0 and 22-16 is 6, 2x+49=0 so x is -24.5

However, if you meant (22-16)(x^2+49)=0

then x^2+49=0 so x^2 =-49

Therefore, the answer is complex and therefore 7i or -7i

7. √9

√9 is a rational number because √9 = 3 = 3/1.

8. No, there is no integer between -6 and -7.

9. π

π is an irrational number

Answer:

Y= -x-8

Step-by-step explanation:

Hope this helps

Answer:

y + 3 = - (x + 5)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 1 and (a, b ) = (- 5, - 3 ) , then

y - (- 3) = - 1 (x - (- 5) ) , that is

y + 3 = - (x + 5)

Answer:

u need my help OK bet

Step-by-step explanation:

so heres tge answer

Answer:

is it x(1,4) y(6,1) z(5,2)

give brainliest

Step-by-step explanation:

3(t-3)=5(2t-1)

= 3t-9=10t-5

= 3t-10t = -5+9

= -7t = 4

= -t = 4/7

= - 4/7 Answer

hope it helps

Answer:

Total number in favour:

Probability:

Total number in against:

Probability:

Answer:

3.125 was Jeter's batting average

Step-by-Step Explanation:

Just divide his bat number with the total hits

So, ---> 500 at bats / 160 hits

500/160 = 3.125

Answer:

not sure if the answer is obvious but I'd say $6.89 + t = $8.00

Step-by-step explanation:

so to make it more understandable you have to first go over the question and ask your self is the tip included in the totally amount owed or is it apart

after you figure out that its apart all you have to do is plug in the numbers you could verify this by checking every equation like this

$6.89 + t = $8.00 (t) in this case is the tip which would be $1.11 all you do to arrive at that answer is subtract the amout owed from the amount given like this $8.00 - $6.89 = $1.11 which will be your tip

now continue checking your answer next is , $6.89 - t = $8.00

which would be $6.89- $1.11 = $5.78 not quite right because now she is short on the pay , on to the next its $6.89t= $8.00 which would be $6.89 x $1.11= $7.65 rounded to neartest tenth which would included the amount but not all the tip given meaning tip would be short 0.35 cents and finally $6.89= $8.00 divided by t , now this takes the amount give which is $8.00 and divides by t which is $1.11 doing this $6.89 = $8.00/$1.11 which it is trying to imply that $6.89 is equal to $7.21 which would be incorrect making the only reasonable equation $6.89 + t = $8.00 reaveling that the tip given was $1.11

hopefully that help maybe i can get brainlist?!

Answer:

6.89 + t = 8.00

Step-by-step explanation:

it's A

Edge 2021

Answer:

x=10

y=-9

Step-by-step explanation:

eqn 2-1

-1x+10=0

x=10

in eqn 1

y=-2 ×10+11

-20+11

-9