Based on your observations in question 7, what general conclusion can you draw about any line that is parallel to one side of a triangle and intersects the other two sides?
(question 7. Now check the boxes for Show Segment Parallel to AC and Show Segment Parallel to AB. Find the ratio of BF to FC and the ratio of GB to AG. Then find the ratio of IC to BI and the ratio of HC to AH. (If you want to move , select point F, and if you want to move , select point H.) What can you say about the relationship between the pairs of lengths in each case? (The ratio of BF to FC is proportional to the ratio of GB to AG. Similarly, the ratio of IC to BI is proportional to the ratio of HC to AH.))

Answers

Answer 1

Answer: A line parallel to one side of a triangle and intersects the other two sides divides the two sides of the triangle proportionally.

Got this straight from Edmentum

Step-by-step explanation:

Answer 2

Answer:

The ratio of BF to FC is proportional to the ratio of GB to AG. Similarly, the ratio of IC to BI is proportional to the ratio of HC to AH.

Step-by-step explanation:

This is the actual answer for question 7 the one above is question 8

:)


Related Questions

When creating lines of best fit, do you believe that estimation by inspection of the equation is best or do you think it should be determined exactly? In what situations would it be best to use one over the other?

Answers

Answer:

Estimation by inspection is better than trying to determine the line of best fit exactly

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

Step-by-step explanation:

To create lines of best fit the estimation by inspection is better than trying to determine the line of best fit exactly .

This is because line of best fit only shows the trend of the data and in most cases it doesn't have to start from origin.

Scenarios :

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

Please can some help me in this?

Answers

Answer:

n = 70

Step-by-step explanation:

14 * x < 80

x = 6 won't work

14 * 6 = 84 which beyond the boundry.

14 * 5 = 70 which is less than 80 and is divisible by 14

14 * 3 = 42

70 does not have a 3 in it.

So the largest number that has 14 in it and is less than 80 is 70

Find the least number which is exactly divisible by 15,25 and go without leaving a reminder.​

Answers

It would be 75, hope this helps!

Step-by-step explanation:

75 is divisible by both 15 and 25

If f(x) = -x2 – 1, and
g(x) = x + 5, then
g(f(x)) = [ ? ]x2+[ ]x+[]

Answers

Answer:

-x^2 +4

Step-by-step explanation:

f(x) = -x^2 – 1, and

g(x) = x + 5,

g(f(x)) = Plug f(x) in for x in g(x)

          =-x^2-1 +5

          =-x^2 +4

Answer:

x^²-x+6

Step-by-step explanation:

Just add

PLZZZZ HELPPPP… IF NOT 100% SURE PLZZ DONT ANSWER! BRAINLIEST TO FIRST AND CORRECT ANSWER!

Answers

Answer is 7/10 because you need the same denominator so you multiply 1/2 by 5 both top and bottom then multiply 1/5 by 2 both top and bottom and then add numerator

Answer:

7/10

Step-by-step explanation:

½ of a cup of cheddar=½ x 1=½

⅕ of a cup of parmesan=⅕ x 1=⅕

all cheese used=½ + ⅕= 7/10

I don't have time to do this before my class, could someone help? Thanks so much

Answers

Answer:

AD=27

Step-by-step explanation:

What is the area of this trapezoid?

Answers

Answer:

18 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 5 + (6+1)) * 3

A = 1/2 ( 5+7)*3

    = 1/2 (12)3

     = 18

Answer:

B

Step-by-step explanation:

greater base = 6 + 1 = 7 m

Area = [(greater base + minor base) * height] / 2 = [(7+5) * 3]/2 =18 m^2

Akili has two tests next week. The probability that he will pass the first test, science, is 34 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 45; otherwise, the probability is only 13 that he will pass the math test. If the probability he passes exactly one test can be expressed as mn for two relatively prime positive integers m and n, what is m n

Answers

Answer:

Following are solutions to the given question:

Step-by-step explanation:

First-test probability: [tex]\frac{3}{4}[/tex]

A person's chances of passing a second test are reduced if he fails the first test: [tex]\frac{1}{3}[/tex]

However, the chance of failing the first test is 1 in 4. As just a result, the probability of these events is low.

[tex]\to \frac{1}{4}\times \frac{1}{3}=\frac{1}{12}\\\\\to \frac{3}{4} + \frac{1}{12} = \frac{9+1}{12} = \frac{10}{12} = \frac{5}{6}[/tex]

One of the other.

Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.

Answers

Answer:

Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.

[my response: talk to them in formal language about the topic.]

Step-by-step explanation:

What did they ask on FLVS alegebra 1 honors moduel 7 dba

Answers

Answer:

its easy dont worry

Step-by-step explanation:

Find the diameter of the sphere with the volume of 36 pi cubic units

Answers

Answer:

[tex]{ \tt{volume = \frac{4}{3} \pi {r}^{3} }} \\ 36\pi = \frac{4}{3} \pi \times {(2d)}^{3} \\ \frac{36 \times 3}{4} = 8 {d}^{3} \\ 27 = 8 {d}^{3} \\ {d}^{3} = \frac{27}{8} \\ diameter = 1.5 \: units[/tex]

Quadrilateral ABCD will be dilated about the origin by a scale factor of 1/3 and then reflected across the y-axis.

Answers

Answer:

See explanation

Step-by-step explanation:

The coordinate of ABCD is not given; So, I will solve using general coordinates (x,y).

First, ABCD is dilated by 1/3.

The rule is:

[tex](x,y) \to \frac{1}{3}(x,y)[/tex]

This gives

[tex](x,y) \to (\frac{x}{3},\frac{y}{3})[/tex]

Next, it is reflected across y-axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex](\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]

So, the complete transformation is:

[tex](x,y) \to (\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]

Assume that:

[tex]A = (1,3)[/tex]

The transformation will be:

[tex]A' = (-\frac{1}{3},\frac{3}{3})[/tex]

[tex]A' = (-\frac{1}{3},1)[/tex]

and this is right or not​

Answers

answer: 11% = 0.11
how: 11 divided by 100 = 0.11

Please hurry I will mark you brainliest

It's a hot summer
day and the icecream truck is on it's way. The driver gives you two options:
1) You can have a cone that is doubled in radius but the same height as a regular cone.

OR

2) You can have a cone that is doubled in height but the same radius as a regular cone.

Which would you choose and why?
You can explain it or attach a picture of your work. ( please show it in math form)

Answers

Answer:

Option 1: Double the radius

Step-by-step explanation:

The formula for the volume of a cone is:

1/3[tex]\pi[/tex]r^2h

It squares the radius whereas it only multiplies by the height. Let's try both situations.

1. 1/3[tex]\pi[/tex](2)^2(1) --> 4/3

2. 1/3[tex]\pi[/tex](1)^2(2) --> 2/3

Option one is better.

If f(x) = -x2 – 1, and
g(x) = x + 5, then
f(g(x)) = [ ? ]x2+[? ]x+[?]

Answers

Answer:

-x^2-10x-26

Step-by-step explanation:

f(x) = -x^2 – 1, and

g(x) = x + 5

f(g(x)) = Plug g(x) in for x in f(x)

        = -(x+5)^2 -1

        = -(x^2 +10x+25) -1

         = -x^2 -10x-25 -1

         =-x^2-10x-26


Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If x+2 is a factor of x^3-6x^2-11x+k then k=

Answers

The value of k in the expression x³ – 6x² – 11x + k is –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of k =?

Next, we shall obtained the value of x from x + 2. This can be obtained as follow:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the the value of k. This can be obtained as  illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Value of k =?  

f(–2) = 0 since x + 2 is a factor

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

k = –10

Therefore, the value of k is –10

Learn more: https://brainly.com/question/13587979

Consider the scenario and use complete sentences to answer the question.

Two players each roll an ordinary number cube. The sum is found of the two numbers showing. If the sum is an even number, player A gets 1 point. If the sum is an odd number, player B gets 1 point. The game ends after 6 rounds.

Is this a fair game? Use the possible results of the game to support your answer.

Answers

Answer:

yes both chances are 1/2 = equal

Step-by-step explanation:

Factorize the following by splitting the middle term:-
(a) 3x^2 +11x+30

Answers

Answer:

See explanation

Question has been corrected

Step-by-step explanation:

Given:

3x² + 11x + 30

To factorise, multiply the coefficient of x² by 30

= 3 * 30

= 90

Find two numbers that have a product of 90 and a sum of 11

** There are no such two numbers, therefore the question can't be solved using factorization

Correcting the error in the question:

x² + 11x + 30

To factorise, multiply the coefficient of x² by 30

= 1 * 30

= 30

Find two numbers that have a product of 30 and a sum of 11

6 and 5

6 + 5 = 11

6 * 5 = 30

x² + 11x + 30

= x² + 6x + 5x + 30

= x(x + 6) + 5(x + 6)

= (x + 6) (x + 5)

need help with this question plz picture of question added ​

Answers

Answer:

The domain of the function is (-2,&)

Can you answer this math homework? Please!

Answers

7.5x = 5.5x + 10

x = 5

so i’m guessing it’ll be 5 classes
substitute the 5 into x

the total monthly cost should be $37.5

please correct me if i’m wrong

Evaluate the function.
f(x) = 4x² + 73 – 18
Find f(-9)

Answers

Answer:

379

Step-by-step explanation:

4(-9)²+73-18

4(81)+55

324+55

379

Find the 20th term of the following sequence.
-6, -4,-2, O,...

Answers

Step-by-step explanation:

An=-6+(20-1)×2

=-6+19(2)

=-6+38

=32

Passing through point (4, 9) and perpendicular to the line y= -1/5x -3

Answers

Answer:

y = 5x-11

Step-by-step explanation:

The slope intercept form of a line is y =mx+b where m is the slope

y = -1/5 x-3

The slope is -1/5

Lines that are perpendicular have negative reciprocal slopes

-1 /(-1/5)

-1 * -5/1

5

The slope of the line that is perpendicular is 5

y=5x+b

Using the point (4,9)

9 = 5(4)+b

9 = 20+b

9-20 =b

-11

y = 5x-11

please help with this too

Answers

Answer:

The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is approximately 125.66 square units

Step-by-step explanation:

The given parameters are;

The radius of the circle with center G, r = 15

The measure of the given angle, m∠AGB = 64°

The area of a sector is given as follows;

Area of a sector of a circle = (θ/360°) × π × r²

Therefore;

The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is given as follows;

The area of the sector in circle G  = (64°/360°) × π × 15² ≈ 125.66 square units

Write the words that represent s + 21.

Answers

Answer:

A number s plus 21

Step-by-step explanation:

s+21

A number s plus 21

25 x square - 4y Square = 36 equation 1
5 x - 2 y=2equation 2​

Answers

It is hard to find out question cn u pls take a pic and upload so it will more easier to find out the question

Anyone knows the answer?

Answers

Answer:

a) yes

b) y = -x

c) yes it goes thru the origin (0,0)

Step-by-step explanation:

a) x**2 + y**2 = 17

(-4)**2 + (-1)**2 = 17

16 + 1 = 17 YES

b) the slope of DE is

(y1 - y2)/(x1 - x2)

(-1 -4)/(-4 -1) = -5/-5 = 1,  so a perpendicular segment will have a

slope of - 1/current slope or -1.

The midpoint of DE is

x = (x1 + x2)/2 = (-4 +1)/2 = -3/2

y = (y1 + y2)/2 = (-1 +4)/2 = 3/2 so

y = mx + b

y = -x + b plug in the point (-3/2,3/2)

3/2 = -(-3/2) + b

b = 0 SO y = -x

c) The circle equation dictates that it has no offset so centers around the origin (0,0) and the equation of the bisector y = -x indeed fits (0,0).

Which equation can be used to find the number of students needed to make 1,500 in profit ?

Answers

Answer:

we can use simple equation

5n-300=1,500 should be the correct answer , I hope this helps !

simplify
(−5abc − 6ac + 7cb) − (10abc + 6ac − 8bc)

Answers

Answer:

-15abc - 12ac + 15bc

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

(-5abc - 6ac + 7cb) - (10abc + 6ac - 8bc)

Step 2: Simplify

[Distributive Property] Distribute negative:                                                        -5abc - 6ac + 7cb - 10abc - 6ac + 8bcCombine like terms:                                                                                         -15abc - 12ac + 15bc

A square pyramid has a base with an area of 20 square meters, and its lateral faces have a slant height of x meters. Sydney is constructing a second square pyramid with the same size base, but the lateral faces of her pyramid have a slant height twice as long, 2x. Which statement best describes how the surface area of Sydney’s pyramid compares to the surface area of the original pyramid?
Sydney’s pyramid will have the same surface area because the One-half in the expression for the area of the triangular faces will make up for the slant height being doubled.
Sydney’s pyramid will have the same surface area because the slant height is not used when finding surface area.
Sydney’s pyramid will have a surface area that is exactly double the original pyramid’s because the slant height is used when finding the area of every lateral face.
Sydney’s pyramid will have a surface area that is greater than the original pyramid’s but not double the area because the slant height is not used when finding the area of the base.

Answers

1. Consider the pyramid ABCDE in the figure 1 attached:

Each side of the square base equals  (units)

Area of 1 lateral side of pyramid ABCDE is

so the total lateral area is  (units squared)

and the total surface area is  (units squared)

2. Now consider the second figure KLMNP, Sydney's pyramid:

The lateral area is

so the total area of the second pyramid is

So 2 things can be said about the areas:

i) the lateral area of Sydney's pyramid is times larger than the lateral area of the original pyramid.

ii) The total area of Sydney's pyramid is units squared larger than the total area of the original pyramid.

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