Explain how you know that each pair of triangles are similar.

Geometry
15 pts.

Answer:

The weight of 6 bottles = [tex]3\frac{3}{5}\ pounds[/tex] or [tex]3.6\ pounds[/tex]

Step-by-step explanation:

Given:

Total number of bottles = 6

Weight of each bottle = [tex]\frac{3}{5}[/tex] pound

To find the total weight of 6 bottles.

Solution:

We can plot the number line for six bottles.

We can the plot the weights in another number line.

Each unit represents [tex]\frac{3}{5}[/tex] pound of weight.

As the number of bottles increase the number of pounds of weight increase by  [tex]\frac{3}{5}[/tex] .

Thus, weight of 6 bottles = [tex]\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}[/tex] [tex]=\frac{18}{5}[/tex] pounds

Converting fraction to mixed number.

[tex]\frac{18}{5}=3\frac{3}{5}[/tex] pounds

Or in decimals [tex]\frac{18}{5}=3.6\ pounds[/tex]

Thus weight of 6 bottles = [tex]3\frac{3}{5}\ pounds[/tex] or [tex]3.6\ pounds[/tex]

Total number of 4 dip sundaes ,  if order is not considered and no flavor is repeated is 491400 .

Step-by-step explanation:

We have , an ice cream store sells 28 flavors of ice cream, determine the number of 4 dip sundaes. how many are possible if order is not considered and no flavor is repeated? Let's find this:

∴ Total number of 4 dip sundaes ,  if order is not considered and no flavor is repeated is 491400 .

Answer:

The maximum value of C is 14

Step-by-step explanation:

we have the following constraints:

[tex]x\geq 0[/tex] ----> constraint A

[tex]y\geq 0[/tex] ----> constraint B

[tex]2x+2y\leq 10[/tex] ----> constraint C

[tex]3x+y\leq 9[/tex] ----> constraint D

Solve the system of inequalities by graphing

using a graphing tool

The solution is the quadrilateral shaded area

see the attached figure

The vertex of the figure are

(0,0),(0,5),(2,3) and (3,0)

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function C and then compare the results

we have

[tex]C=4x+2y[/tex]

[tex]For (0,0) -----> C=4(0)+2(0)=0\\For (0,5) -----> C=4(0)+2(5)=10\\For (2,3) -----> C=4(2)+2(3)=14\\For (3,0) -----> C=4(3)+2(0)=12[/tex]

therefore

The maximum value of C is 14

Answer:

The maximum value is c=14

Step-by-step explanation:

I hope this helps

I also did the question on acellus

Answer:

B) 384

Step-by-step explanation:

Hello! This is the answer.

Volume of a square pyramid:

V = (1/3)a2h

Slant Height of a square pyramid:

By the pythagorean theorem we know that

s2 = r2 + h2

since r = a/2

s2 = (1/4)a2 + h2, and

s = √(h2 + (1/4)a2)

This is also the height of a triangle side

Lateral Surface Area of a square pyramid (4 isosceles triangles):

For the isosceles triangle Area = (1/2)Base x Height. Our base is side length a and for this calculation our height for the triangle is slant height s.  With 4 sides we need to multiply by 4.

L = 4 x (1/2)as = 2as = 2a√(h2 + (1/4)a2)

Squaring the 2 to get it back inside the radical,

L = a√(a2 + 4h2)

Base Surface Area of a square pyramid (square):

B = a2

Total Surface Area of a square pyramid:

A = L + B = a2 + a√(a2 + 4h2))

A = a(a + √(a2 + 4h2))

Therefore your answer is B 384.

Answer:

[tex] \frac{3}{4} - \frac{3}{5} = \frac{15}{20} - \frac{12}{20} = \frac{3}{20} [/tex]

The common difference is [tex]d=-\frac{25}{2}[/tex]

Explanation:

The difference between the 7th and 9th terms  of an arithmetic sequence is 25

Since, we know the general form of an AP is [tex]a_{n}=a_{1}+(n-1) d[/tex]

For [tex]n=7[/tex], we have,

[tex]a_{7}=a_{1}+(7-1) d[/tex]

[tex]a_{7}=a_{1}+6 d[/tex] ---------(1)

For [tex]n=9[/tex], we have,

[tex]a_{9}=a_{1}+(9-1) d[/tex]

[tex]a_{9}=a_{1}+8 d[/tex] ----------(2)

Subtracting (1) and (2), we get,

[tex]a_7-a_9=6d-8d[/tex]

Since, it is given that the difference between 7th and 9th term is 25.

Hence, we have,

[tex]25=-2d[/tex]

Dividing both sides by -2, we have,

[tex]d=-\frac{25}{2}[/tex]

Hence, the common difference is [tex]d=-\frac{25}{2}[/tex]

Answer:

-2x-9=y

Step-by-step explanation:

Answer:

  216°

Step-by-step explanation:

The difference between the bearing from B to A and the bearing from A to B is 180°. Here, the difference between the two bearings is ...

  6b -b = 180°

  b = 180°/5 = 36°

  6b = 6·36° = 216°

The bearing of Alton from Barking is 216°.

Answer:

13/6 or 2 1/6

Step-by-step explanation:

6 1/2 = 13/2 (Improper Fraction)

1/3 = 2/6 (1/3 is just simplified)

1/3 x 1 + 1 + 4 + 6 + 1 = Answer

(13/2 x 1/3 = 13/6)

Solving the expression using the Distributive Property, we get 13.6.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

(1/3) x (6 1/2)

We have the expression -

(1/3) x (6 1/2)

(1/3) x (6 + 1/2)

(1/3 x 6) + (1/3 x 1/2)

2 + 1/6

13.6

Therefore, solving the expression using the Distributive Property, we get 13.6.

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Jamie has 200 tooth picks for her party platter.

Step-by-step explanation:

Therefore, Jamie has 200 tooth picks for her party platter.

Answer: 0.38

Step-by-step explanation:

Divide 3 by 8 = 0.375

To round 0.375 to the nearest hundredth means to round the numbers so there are only two digits in the fractional part. it is pertinent to know that the fractional part is 375, since the value at the end is not less than 5, the number turns 1 and we add it to the number before it.

0.375 to the nearest hundredth is 0.38.

I hope this helps.

Answer: $388.5

Step-by-step explanation:

Total cost = cost + sales tax

Given that cost = $370

Sales tax = 5% of $370

5/100 × 370 = $18.5

Total cost = $370 + $18.5

= $388.5

I hope this is clear.

Answer:

Unlikely to have.

Step-by-step explanation:

The populations of blue-eyed people and brown-eyed people are unlikely to have different salaries.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Therefore, The populations of blue-eyed people and brown-eyed people are unlikely to have different salaries.

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Answer:

4 * (3 + 2 ) - 6 ÷ 1 = 14

*, +, -, ÷

Step-by-step explanation:

Remember PEMDAS:

P - parenthesis

E - exponents

M - multiplication

D - division

A - addition

S - subtraction

So, (3 +2) = 5

5 * 4 = 20

20 ÷ 1 = 20

20 - 6 = 14

Hope I helped! C:

Answer:

25%

Step-by-step explanation:

You have 60 total, 30 on the track team would be 50%,  but there is only 15 on the track them, you cut the 50% in half again which gives 25%.

Answer:

x = 9

Step-by-step explanation:

Consider the below figure attached with his question.

In the below figure [tex]FA=x+1, FB=x+6, GA=x-1\text{ and }GC=x+3[/tex].

According to Basic Proportionality Theorem (BPT), if a line is parallel to one side of a triangle, then it divides the two remaining sides in the same ratio.

Using BPT theorem,

[tex]\dfrac{FA}{FB}=\dfrac{GA}{GC}[/tex]

[tex]\dfrac{x+1}{x+6}=\dfrac{x-1}{x+3}[/tex]

On cross multiplication we get

[tex](x+1)(x+3)=(x-1)(x+6)[/tex]

[tex]x^2+3x+x+3=x^2+6x-x-6[/tex]

[tex]4x+3=5x-6[/tex]

[tex]4x-5x=-6-3[/tex]

[tex]-x=-9[/tex]

[tex]x=9[/tex]

Hence, FG║BC if the value of x is 9.

Answer:

option 4, X=9

Step-by-step explanation:

Answer:

I think you should divide 40 by 2 and get 20

Step-by-step explanation:

Answer:

PQ = 54

Step-by-step explanation:

The rest of the question is the attached figure.

As shown:

triangle RPQ is similar to triangle RTS.

So, the corresponding sides are in proportion.

[tex]\frac{PQ}{TS}= \frac{RP}{RT}[/tex]

From the figure:

TS = 36 , RP = 42 AND RT = 28

∴ [tex]\frac{PQ}{36} = \frac{42}{28} \\[/tex]

∴ PQ = 36 * 42/28 = 54

So, the distance between P and Q = 54

Answer:

-26

Step-by-step explanation:

-6+49+(-69)

43+(-69)

43-69

-26

Answer:

-8

Step-by-step explanation:

-2^3

-8

Answer:  -8

Answer: -8

Step-by-step explanation:

-2x-2x-2=-8

Answer: I need to see it to help ya.

Step-by-step explanation:

Answer:

C=44.6mm

Step-by-step explanation:

C=pi times d

C=3.14 times 14.2

Final answer:

The circumference of a circle with a diameter of 14.2 mm is 44.6 mm when rounded to the nearest tenth.

Explanation:

To find the circumference of a circle with a given diameter, you can use the formula C =
(D), where
is approximately equal to 3.14, and D is the diameter. For a circle with a diameter of 14.2 mm, the circumference would be calculated as follows:

C = 3.14 x 14.2 mm

After performing the multiplication:

C = 44.588 mm

When rounded to the nearest tenth, the circumference is:

C = 44.6 mm

Therefore, the circumference of the circle is 44.6 mm.

The person earned $220.

The process of subtracting one number from another is known as subtraction.

The person initially has $512.50.

The total money person spends is:

$249.95 + $482.55

=$732.5

Now, subtract 512.50 from 732.5 to get the money earned by the person:

$732.5 - $512.50

= $220

Hence, the person earned $220.

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[tex]The \ midpoint \ formula \ of \ the \ line \ segment \\ that \ joins \ the \ two \ points \ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ is \\ given \ by \ the \ following \ Midpoint \ Formula:\\ \\ Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

Then:

[tex]c=(\frac{3+5}{2},\frac{4+8}{2}) \\ \\ c=(\frac{8}{2},\frac{12}{2}) \\ \\ c=(4,6) \\ \\ \\ p=(\frac{3+7}{2},\frac{4+8}{2}) \\ \\ p=(\frac{10}{2},\frac{12}{2}) \\ \\ p=(5,6)[/tex]

So the slope of the line that passes through [tex]c \ and \ p[/tex] is:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m_{cp}=\frac{6-6}{5-4}=0[/tex]

And the slope for BC is:

[tex]m_{BC}=\frac{8-8}{7-5}=0[/tex]

As you can see, both slopes are zero, so these are horizontal lines.

Step-by-step explanation:

I'm guessing that "PQPA" means like Problem Question, Problem Answer (so what you are trying to find, and what it is (I think)).

That means the first problem is (3/4)+(7/8) = 13/8 and "How much water is collected in two hours?"

This means the second problem is (2 1/3) - (1 3/4) = (7/3)-(7/4) = 7/12 and "How many pounds of beef are left"

This means the third problem is (1 -(1/6))(2/5) = (5/6)(2/5) = 1/3 and "What fraction of her paycheck is saved"

This means that the fourth problem is (3/4)(2/3) = 1/2 and "How long did it take Megan to do her HW?"

Answer:

He multiplied the denominators incorrectly

Step-by-step explanation:

we know that

The volume of a rectangular prism is given by the formula

[tex]V=LWH[/tex]

we have

[tex]L=\frac{3}{4}\ ft\\\\W=\frac{5}{1}\ ft\\\\H=\frac{1}{2}\ ft[/tex]

substitute

[tex]V=(\frac{3}{4})(\frac{5}{1})(\frac{1}{2})=\frac{3*5*1}{4*1*2}=\frac{15}{8}\ ft^3[/tex]

therefore

He multiplied the denominators incorrectly

Answer:

B. He multiplied the denominators incorrectly.

Step-by-step explanation:

I did the test myself. Good luck with the rest of your test! Have a great day/night! <3

Answer:

x = 2

Step-by-step explanation:

Given

4x - 3 = - 9 + 7x ( subtract 7x from both sides )

- 3x - 3 = - 9 ( add 3 to both sides )

- 3x = - 6 ( divide both sides by - 3 )

x = 2

Answer:

Step-by-step explanation:

Relationship 1

The y-values have a common difference of 1, so the relationship is linear with as slope of 1. The only matching choice is (x+3), which matches the values of y1.

__

Relationship 2

The y-values have differences that increase with a common difference. They are (3-0) = 3, (12-3) = 9, (27-12) = 15, (48 -27) = 21. The second differences are (9-3) = 6, (15-9) = 6, and so on with all second differences being 6. This tells you that a second-degree polynomial can model this sequence. The only matching choice is (3x^2), which matches the values of y2.

__

Relationship 3

The y-values have increasing differences that also have increasing differences. The values have a common ratio of 3, indicating an exponential function will model this sequence. The only matching choice is (3^x), which matches the values of y3.

The relations are:

x+3

3x^2

3^x

An equation is a formula that expresses the equality of two expressions, by connecting them with the

Relationship 1:

The y-values have a common difference of 1, so the relationship is linear with as slope of 1. The only matching choice is (x+3), which matches the values of y1.

Relationship 2:

The y-values have differences that increase with a common difference. They are (3-0) = 3, (12-3) = 9, (27-12) = 15, (48 -27) = 21. The second differences are (9-3) = 6, (15-9) = 6, and so on with all second differences being 6. This tells you that a second-degree polynomial can model this sequence. The only matching choice is (3x^2), which matches the values of y2.

Relationship 3:

The y-values have increasing differences that also have increasing differences. The values have a common ratio of 3, indicating an exponential function will model this sequence. The only matching choice is (3^x), which matches the values of y3.

The relations are:

x+3

3x^2

3^x

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