What is the solution to the equation 9(x - 2) = 27?

01) x = 2.5

2) x = 0.5

3) x = -0.5

04) x = 3.5

Hello!

This is a problem about relating circle theorems to line lengths.

We can first see that both line segment MK and CM are secants within the circle that come from a common point K.

This means that the Intersecting Secant Theorem applies here.

The Intersecting Secant Theorem states that if two secants are formed from a common point outside the circle, the length of each secant multiplied by the length of its corresponding external secant are equivalent.

We can set up the following equation.

[tex]8(8+x+5)=7(7+2x+1)[/tex]

[tex]8(x+13)=7(2x+8)[/tex]

[tex]8x+104=14x+56[/tex]

[tex]6x=48[/tex]

[tex]x=8[/tex]

Using this value, we can find the length of line segment MK.

[tex]MK=x+5+8[/tex]

[tex]MK=8+5+8[/tex]

[tex]MK=21[/tex]

Hope this helps!

Answer:

10/3 pizza

Step-by-step explanation:

step one:

This problem is focused on ratios and fractions

from the problem statement, Martin has 5/6 pizza

Liam has 4 times more of what Martin have

step two:

so we can express what Liam has as

=(5/6)*4 = 20/6or

=5/6+5/6+5/6+5/6= 20/6

= 20/6

Answer:

[tex]y=\frac{5}{9}[/tex]

Step-by-step explanation:

For the graph of [tex]y=f(x)[/tex],

the horizontal asymptote becomes [tex]y=\frac{5}{9}[/tex]

Answer:

10.7

Step-by-step explanation:

To find x we have to basically do pythagoream theorem twice. Both the traingles share the same long side. The find the long side of the top traingle do, [tex]a^{2} +16^{2} =25^{2}[/tex], and we find the long side to be [tex]\sqrt{369}[/tex]. Using this we now plug it into the pythagoream theorem for the bottom triangle. [tex]\sqrt{369} ^{2} +x^{2} =22^{2}[/tex], and doing this out we find that x=[tex]\sqrt{115}[/tex] or about 10.7.

Step-by-step explanation:

(−3)(+8)

it is C

Step-by-step explanation:

got an A for homework

Answer:

7) is $1.70

8) is 8 miles per hour

9) is Store A is the better buy

10) is 222

11) is the area is 6

12) is the range is 14

8.)8 miles per hour

20 = 150

X = 60

20 x 60 = 150x

1200 = 150x

X = 8

9.)better buy number A

44.68 /16 = 2.7925

31.57 /11 = 2.87

11.) The area of this figure is 6

3 X 2 = 6

12) Range of the data set is 14

15 - 1 = 14

Speed = Distance/Time

So, speed

= 300 km/2h

= 150km/h

= (150 × 1000m) / 3600s

= 150000m/3600s

= 41.66m/s [approximately]

Answer: [tex]\dfrac{3}{8}[/tex]

Step-by-step explanation:

Given

Julio traveled [tex]\frac{3}{8}[/tex] of distance to his aunt's house on Saturday

they have traveled [tex]\frac{3}{5}[/tex] of the remaining distance on Sunday

suppose the total distance is [tex]x[/tex]

Distance traveled on Saturday

[tex]\dfrac{3x}{8}[/tex]

Remaining distance is

[tex]x-\dfrac{3x}{8}=\dfrac{5x}{8}[/tex]

Distance traveled on Sunday

[tex]\Rightarrow \dfrac{3}{5}\times \dfrac{5x}{8}=\dfrac{3x}{8}[/tex]

The fraction of distance traveled on Sunday is

[tex]\Rightarrow \dfrac{\frac{3x}{8}}{x}=\dfrac{3}{8}[/tex]

Answer:

See solutions below

Step-by-step explanation:

a) Given the expressions

x³y and x⁴y³

Find their factors

x³y = (x * x * x * y)

x⁴y³ = (x * x * x * y) * x * y * y

GCF = x*x*x*y

GCF = x³y

The expressions in parenthesis is the GCF. Hence the GCF of x³y and x⁴y³ is x³y

b) For 48m⁶n⁵p⁴ and 20m⁴n⁵p⁶

48m⁶n⁵p⁴ =12 * (4 * m⁴ * n⁵ * p⁴) * m²  

20m⁴n⁵p⁶ = 5 * (4 * m⁴ * n⁵ * p⁴) * p²  

GCF is the expression common to both terms

GCF = 4 * m⁴ * n⁵ * p⁴

GCF = 4m⁴n⁵p⁴

Answer:

choice 2) y ≤ 1

Step-by-step explanation:

Answer: B I think!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equation is below

Step 1

(3x^2 y^5)^4  

Step 2

(3x^2 y^5)^4  Simplify

81x^8y^20

Step 3

81x^8y^20  check

Answer

81x^8y^20

Hope this helped

Answer:

53∘

plz mark me as brainliest.

Answer:

23

Step-by-step explanation:

20 - 3(-1)

20 - (-3)

20 + 3 =

23

Answer:

C..... I think it is a answer

Answer:

x = 59

Step-by-step explanation:

combine all four angle measure expressions and set equal to 360°, then solve

x + x + 2x + 3 + 2x + 3 = 360

6x + 6 = 360

6x = 354

x = 59

Answer:

the first one is 4.03 and the second one os 4.33

Answer:

4.03 and 4.33 is the answer.

Step-by-step explanation:

The numbers increase by +0.1

∴ 4.03, 4.13, 4.23, 4.33, 4.43, 4.53

i think the answer is 1/3 from 8x 6 =-46.7 i think

To solve this problem, we should note that there are:

total questions = 100

questions answered correctly = 90

questions that needed additional clues = 10

1. The first question is to find the probability that in the third question, Mary would need additional clue. Therefore this implies that in the first and second questions, Mary would answer it correctly. Therefore:

Probability = (question 1 answered correctly) * (question 2 answered correctly) * (question 3 needed clue)

Probability = (90/100)*(89/99)*(10/98)

Probability = 0.08256 = 8.26%

2. The second question finds for the probability that two consecutive needs additional clue, therefore:

Probability = (question 1 needed clue) * (question 2 needed clue)

Probability = (10/100)*(9/99)

Probability = 9.1*10^-3 = 0.91%

Answer:

1. The estimated probability that it would take at least three questions for Mary to need additional clues is 0.24

2. The estimated probability that Mary needed additional clues to answer two consecutive questions is 0.06

Step-by-step explanation:

I just took the test! I hope this helps you! <3

Answer:

y=-2/5x

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-2/5(x-5)

y+2=-2/5(x-5)

y=-2/5x+10/5-2

y=-2/5x+2-2

y=-2/5x

Answer:

B it right...

Step-by-step explanation:

Answer: B 2

Step-by-step explanation:

16 - 5 = 11

11 - 9.1  = 2 option B

Answer: 7/32

Step-by-step explanation:

Answer:

7/32

Step-by-step explanation:

i did the test and got it right

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.

Answer:

31/40

Step-by-step explanation:

it cannot be simplified any further

Answer:

3/4

Step-by-step explanation:

First, you have to find a common demenator between the fractions, you can do this by multiplying the denomenators together, 8 * 5 is 40

Next, you have to multiply the first fraction by 5/5 and the second fraction by 8/8 and now you have 15/40 + 16/40, and now that the fractions have the same denomenators you can just add the numerators

And you get 30/40, which can be reduced to 3/4 by diviging both the numerator and denomenator by 10

Answer:

56.5 in

Step-by-step explanation:

Answer:

56.5 in³

Step-by-step explanation:

I wrote out the work in the file below:

Step-by-step explanation:

Given that,

Total no. of cards = 52 (Total no. of outcomes)

There are 12 face cards. No of favorable outcomes = 12

P(E) = favorable outcome/total no of outcomes

So,

[tex]P(F)=\dfrac{12}{52}\\\\=\dfrac{3}{13}[/tex]

There is 4 ace in a deck of 52 cards.

[tex]P(A)=\dfrac{4}{52}\\\\=\dfrac{1}{13}[/tex]

Hence, this is the required solution.

Answer:

See Explanation

Step-by-step explanation:

Required

Pair of animal the van can carry

The question is incomplete, as the animals and their weights are not given.

So, we make the following assumed parameters [in other to answer the question]

[tex]Goat = 2500lb[/tex]

[tex]Cow = 4500lb[/tex]

[tex]Dog = 1500lb[/tex]

[tex]Pig = 3000lb[/tex]

Add the weights of any two animals

[tex]Goat + Cow = 2500lb + 4500lb = 7000lb[/tex]

[tex]Goat + Dog = 2500lb + 1500lb = 4000lb[/tex]

[tex]Goat + Pig = 2500lb + 3000lb = 5500lb[/tex]

[tex]Cow + Dog = 4500lb + 1500lb = 6000lb[/tex]

[tex]Cow + Pig = 4500lb + 3000lb = 7500lb[/tex]

[tex]Dog + Pig = 1500lb + 3000lb = 4500lb[/tex]

Next: Select the sum that are less than or equal to 5000lb

[tex]Goat + Dog = 2500lb + 1500lb = 4000lb[/tex]

[tex]Dog + Pig = 1500lb + 3000lb = 4500lb[/tex]

Identify the pairs

(Goat, Dog) and (Dog, Pig)

Using the assumed parameters, the van can only transport the pairing of:

(1) Goat and dog

(2) Dog and pig

Answer:

9/64

Step-by-step explanation:

3 x 3 is 9 and 8 x 8 is 64 and this fraction cannot be simplified