These two pentagons are similar.​

These Two Pentagons Are Similar.

Answers

Answer 1

If two pentagons are similar, then their sides are proportional. To find PT, we'll need to set up a proportion.

AE / PT = AB / PQ

---There are many ways to set up this proportion, it just depends on what side lengths you have and ensuring that they match up on both shapes.

6 / x = 5 / 12.5

5x = 75

x = 15

Length of PT = 15 cm

Option C

Hope this helps!


Related Questions

Find the rule to complete the pyramid.

Answers

i think this should work good luck

The large rectangle below represents one whole.
What percent is represented by the shaded area?
%

Answers

Answer:

40%

Step-by-step explanation:

2/5 is shaded

100 divided by 5 is 20

2x20=40

Large Rectangle is divided into 5 equal parts.
So, each part = 1/5
Part that is shaded = 2/5
Percentage = (2/5)*100
= 2* 20
= 40%

simplify the following expression 4√72

Answers

Answer:

Hope this helps it is in the file below.

I will mark brainliest for the first person to answer my question

Answers

Answer:

A. Line
<------------->

B. Angle


C. Line Segment
.___________.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?

Answers

the answer is 253 square feet

Answer:

A = 253 sq ft

Step-by-step explanation:

see image. Section off the shape into rectangles. Sometimes you have to add to find the lengths of the sides. Sometimes you have to subtract. Area is length×width. see image.

Write the expression as a product.
25-(a + 7)^2

pls help

Answers

Answer:

-(12+a)(a+2)

Step-by-step explanation:

this is to ez

The expression as a product is (a+12)(-a-2)

What is an expression?

An expression in math is a statement having minimum of two numbers, or variables, or both and an operator connecting them.

Given that, is an expression, 25-(a+7)², we need to write it in product form, 25-(a+7)²

= 25 - (a²+49+14a)

= 25-a²-49-14a

= -a²-14a-24

Factorizing,

= -a²-12a-2a-24

= -a(a+12)-2(a+12)

= (a+12)(-a-2)

Hence, the expression as a product is (a+12)(-a-2)

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Reflect the point (3,0) across the x axis.

Reflect the point (3,0) across the y axis.

Answers

Answer:

(3,0) reflection on x axis (3,0)

(3,0) reflection on y axis (-3,0)

A political candidate feels that she performed particularly well in the most recent debate against her opponent. Her
campaign manager polled a random sample of 400 likely voters before the debate and a random sample of 500
likely voters after the debate. The 95% confidence interval for the true difference (post-debate minus pre-debate) in
proportions of likely voters who would vote for this candidate was (-0.014, 0.064). What was the difference (pre-
debate minus post-debate) in the sample proportions of likely voters who said they will vote for this candidate?
0.064 +-0.014)
= 0.025
0.064-(-0.014)
= 0.039
0 0.064 + (-0.014) = 0.050
0.064 - (-0.014) = 0.078
N

Answers

Considering the confidence interval given, the likely difference is given by:

[tex]\frac{0.064 + (-0.014)}{2} = 0.025[/tex]

What is the point estimate of a confidence interval?

Given an interval (a,b), the point estimate is the mean of the bounds, that is:

p = (a + b)/2.

In this problem, the interval is (-0.014, 0.064), hence the expression for the likely difference is given by:

[tex]\frac{0.064 + (-0.014)}{2} = 0.025[/tex]

More can be learned about confidence intervals at https://brainly.com/question/25890103

During a phone call about the system of equations {5x + 2y = 8 , 8x + 4y = 8}, Dylan told Max, “It’s easy, just set them equal to each other.” But Max replied, “That doesn’t help — I get −2y = 3x. What good is that?” Help these two students solve the problem.

Answers

Answer:

x = 4

y = -6

Step-by-step explanation:

5x + 2y = 8

8x + 4y = 8

-2(5x + 2y) = -2(8)

8x + 4y = 8

-10x -4y = -16

8x + 4y = 8

-10x -4y + 8x + 4y = -16 + 8

-2x = -8

x = 4

plug 4 into x so y = -6

When plotting an ordered pair, X comes before Y

Answers

Answer:

True

Step-by-step explanation:

I always remember it, over then up

A certain bacterium measures 2. 7 × 10–2 mm. A colony contains 5. 3 × 103 of the bacteria. What is the total length of this colony if it forms a straight line?

Answers

The length of the colony is the product of 5. 3 × 10^3 and the length of the bacteria

The total length of the colony is 143.1 mm

How to determine the length of the colony?

The given parameters are:

Bacteria = 2.7 × 10^–2 mm.

Colony = 5. 3 × 10^3 of the bacteria

So, the length (L) of the colony is:

[tex]L = 5.3 * 10^3 * 2.7 * 10^{-2[/tex]

Rewrite as:

[tex]L = 5.3 * 2.7* 10^3 * 10^{-2[/tex]

Evaluate the products

[tex]L = 14.31* 10[/tex]

Evaluate the product

[tex]L = 143.1[/tex]

Hence, the total length of the colony is 143.1 mm

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P(x) = x^2-4x+4 tại x =2

Answers

If [tex]P(x) = x^2-4x+4[/tex]  and x =2

 

   --> [tex]P(2) = 2^2-4(2)+4=4-8+4=0[/tex]

Hope that helps!

What are the solution(s) for the quadratic equation?

Y=5x^2-9x+4

Show work

Answers

Let's see

[tex]\\ \rm\rightarrowtail 5x^2-9x+4=0[/tex]

[tex]\\ \rm\rightarrowtail 5x^2-5x-4x+4=0[/tex]

[tex]\\ \rm\rightarrowtail 5x(x-1)-4(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail (5x-4)(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail x=4/5,1[/tex]

: Customers arrive at a shopping mart randomly at a rate of 7 per hour.

a) Find the probability that during any 90 minutes’ period, the number of customers arriving at the shopping mart is exactly 8

b) If a customer arrives at 11. 30 am, find the probability that the next patient arrives before

11. 45 am

Answers

Using the Poisson distribution, it is found that the probabilities are given by:

a) 0.1009 = 10.09%.

b) 0.8262 = 82.62%.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.

Item a:

The mean is of 7 customers for 60 minutes, hence, for 90 minutes = 1.5 x 60 minutes, the mean is given by:

[tex]\mu = 1.5 \times 7 = 10.5[/tex]

The probability of exactly 8 customers is of P(X = 8), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 8) = \frac{e^{-10.5}10.5^{8}}{(8)!} = 0.1009[/tex]

Item b:

Probability of at least one patient in 15 minutes, hence:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

For 15 minutes, the mean is given by:

[tex]\mu = 0.25 \times 7 = 1.75[/tex]

Then:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 8) = \frac{e^{-1.75}1.75^{0}}{(0)!} = 0.1738[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1738 = 0.8262[/tex]

More can be learned about the Poisson distribution at https://brainly.com/question/13971530

what is the solution of the system of equations 4x+2y=-1 and 3x+4y=3

Answers

Answer:

7x+6y=2

Step-by-step explanation:

All you have to do is add both of the equations together.

The area and the perimeter of a square are equal. Find the side
length of the square.

please help me

Answers

Answer:

side length = 4

Step-by-step explanation:

Let x = the side length

Area is x•x, which is x^2.

Perimeter is x+x+x+x, which is 4x.

x^2 = 4x

x^2 - 4x = 0

Factor.

x(x-4) = 0

x = 0 or x = 4

Discard 0 as an answer as it is not useful.

x = 4.

Area = 4^2 = 16

Perimeter = 4(4)= 16

The side length is 4.

When you multiply the grouping by the exponent, what is the answer?
5+4 - (8 x 3 – 22)* x 4

Answers

Answer:

1

Step-by-step explanation:

5 + 4 - (8 x 3 – 22)* x 4

5 + 4 - (24 - 22) x 4

5 + 4 - 2 x 4

5 + 4 - 8

1

Answer:

16

Step-by-step explanation:

5+4- (8x3-22) ↑4 x4

         16

5+4 - (24-22) ↑4 x4

5+4- (2) ↑4 x4

2x2x2x2=16

hope that helps:)

What is the least common multiple? 46 and 12?​

Answers

Answer:

2

Step-by-step explanation:

multiples of 12: 1, 2, 3, 4, 6, 12 (we don't use 1 in LCM)

Start with 2: 46/2 = 23, so the least common multiple is 2

Find the cosine ratio for ∠K
a. 4/5
b. 5/3
c. 3/5
d. 4/3

Answers

Answer:

As Per Given Information

we have been asked to determine the consine ratio of ∠K .

[tex] \bf \: cos \: k = \cfrac{Base}{Hypotenuse} [/tex]

with respect to ∠K .

substitute the given value & let's solve it for k .

[tex] \longrightarrow\sf \: cos \: k \: = \cfrac{30}{50} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{ 3\cancel0}{5 \cancel0} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{3}{5} [/tex]

Therefore,

Cosine ratio for ∠k is 3/5

Your answer is (c) 3/5

Can someone help me please

Answers

Answer:

[tex]6x^2+8x[/tex]

Step-by-step explanation:

Hey there!

In order to find the answer to this question, what you need to do is first find the area of the whole grey box as a whole (including the white box to)

The dimensions for this is 3x+2 and 4x

Now we know that to find area, we need to multiply length by height

So (3x+2)(4x) is what we have to solve to get the area

Now we simplify:

1. Distribute

2. [tex]12x^2+8x[/tex]

So now we know that the total area is [tex]12x^2+8x[/tex]

Now what we do is take out the area of the white box from the area of the grey box

Lets find the area of the white box:

l=3x   (l - length)

h=2x (h - height)

[tex]3x*2x=6x^2[/tex]

Now we have the area of both shapes

Since we have all the information we need to find the final answer, the following steps below will be using the information we found to find the final answer:

In order to find the final answer which is the area of the shaded region, we take out the area of the white region from the total area of the grey region (including the white region)

So now we can formulate this new equation:

[tex]12x^2+8x-6x^2= ta[/tex]

(ta= total area)

Now we simplify:

[tex]6x^2+8x\\[/tex] is going to be our final answer

So our final answer is [tex]6x^2+8x[/tex]

Find an explicit formula for the geometric sequence 2, 6, 18, 54, ....
Note: the first term should be b(1).

b(n)=

Answers

The geometric sequence can be represented explicitly or as recursions

The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

How to determine the explicit formula?

The sequence is given as:

2, 6, 18, 54, ....

Start by calculating the common ratio (r)

r = b2/b1

This gives

r = 6/2

Evaluate the quotient

r = 3

A geometric sequence is represented as:

b(n) = b1 * r^(n-1)

This gives

b(n) = 2 * 3^(n-1)

Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

Read more about geometric sequence at:

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The graphs of the functions (f) and (g) are shown where..
[tex]f(x) = 4.5 \sqrt{x} [/tex]
[tex]g(x) = \frac{1}{9} {x}^{2} [/tex]


Select the TWO closest approximations for solutions to the equations f(x) - g(x) = 0
A.x=0
B.x=5.0
C.x=11.7
D.x=13.5
E.x=20.0

Answers

Answer:

[tex]\red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}}[/tex]

\orange{ \rule{100pt}{999999pt}} < /p > < p > [tex]at < /p > < p >  at</p><p>[tex]at</p><p>

Step-by-step explanation:

f(x) - g(x) = 0

f(x) = g(x)

4.5√x = ⅑ x²

4.5 × 9 = x√x

40.5 = x√x

square it on both side

1640.25= x².x

1640.25 =x³

x=11.7

If you were writing a two-column proof proving that ANQP APON, which of the following statements would have
"reflexive property of congruence" as its reason?
A. ON ON
B. OP=OP
C. OP=OP
D. NP NP

Answers

Answer:

NP NP

Step-by-step explanation:

this is the only solution that works for the question

The answer is D: NP NP

what do you call the statements that are assumed to be true and do not need proof?​

Answers

Answer:

A postulate :)

Step-by-step explanation:

This is because a postulate is a statement that is assumed true without proof, while a theorem is a true statement that can be proven.

Hope this helps!

Solve the initial value problem d y d x = 2 x 1 , y ( 0 ) = 2

Answers

Using separation of variables, it is found that the solution to the initial value problem is of y(x) = x² + 2.

What is separation of variables?

In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

In this problem, the differential equation is given by:

[tex]\frac{dy}{dx} = 2x[/tex]

Then, applying separation of variables:

[tex]dy = 2x dx[/tex]

[tex]\int dy = \int 2x dx[/tex]

[tex]y = x^2 + K[/tex]

Since y(0) = 2, we have that the constant of integration is K = 2, and the solution is:

y(x) = x² + 2.

More can be learned about separation of variables at https://brainly.com/question/14318343

The differential equation is y(x) = x² + 2.

What is the differential equation?

Differential Equations In Mathematics, a differential equation is an equation that contains one or more functions with their derivatives.

The given equation is;

[tex]\rm \dfrac{dy}{dx}=2x[/tex]

Applying the variable separation method;

[tex]\rm \dfrac{dy}{dx}=2x\\\\\int\limits \, dy=\int\limits\, 2x. dx\\\\y = 2 \times \dfrac{x^{1+1}}{1+1} +c\\\\y = 2 \times \dfrac{x^{2}}{2} +c\\\\y = x^2+c[/tex]

The value of c when y( 0 ) = 2 is c =2.

Hence, the required differential equation is y(x) = x² + 2.

More can be learned about the differential equation at;

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What is the value of y in the solution to the system of equations?
1 x + 2 y = 1
2x – 3y = -30
0-8
0-3
03
O 8

Answers

Answer: y = 32/7

Step-by-step explanation:

Solve the first equation for x by subtracting the 2y from the left side and getting: x = 1 - 2y.

Plug this in to the second equation: 2(1 - 2y) - 3y = -30 → 2 - 4y - 3y = -30 →

-7y = -32 → y = 32/7. Hope this helps!

Write an equation in slope-intercept form for the line that passes through (6,6) and is
perpendicular to the line described

Answers

Answer:

Step-by-step explanation:

Solution :

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

perpendicular to the line described by : y = 2/3 x -2

So : product for two slopes = -1   means : m×2/3=-1

m = -3/2

now : y = -3/2 x+b

but this line :

through the point (6,6) : 6 =(-3/2)(6)+b....... b=15

conclusion :

the equation is : y = -3/2x +15

Solve each equation by finding square roots. If the equation has no real-number solution, write no solution. N^2 = 81

Answers

Answer:

N = 9

Step-by-step explanation:

N^2 = 81

NxN = 81

N = 9 because 81/9 = 9 and if you don't trust me use a calculator

¿Cuántos enteros divisibles por 9 hay entre 95 y 450?

Answers

Answer:

s so you're going to divide when you going to divide 95 why you take it to the other side it will become 95 * 450 equals to 42750 / 9 when we divide 42750 / 9 to give you 4750 that is your answe

cual es el máximo común divisor de 72, 90 y 36?

Answers

Answer:

6

Step-by-step explanation:

6 x 6 = 36

6 x 12 = 72

6 x 15 = 90

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