please help me with geometry question :)

Please Help Me With Geometry Question :)

Answers

Answer 1

Given:

The graph of a triangle ABC.

A line is parallel to AC and passes through the point D.

To find:

The point at which the intersection of this parallel line be with the line BC.

Solution:

From the given figure it is clear that A(1,7), B(9,7), C(9,1) and D(5,7).

Slope of AC is

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\dfrac{1-7}{9-1}[/tex]

[tex]Slope=\dfrac{-6}{8}[/tex]

[tex]Slope=\dfrac{-3}{4}[/tex]

Slope of parallel lines are same. So, the slope of parallel line is also [tex]-\dfrac{3}{4}[/tex].

The parallel line passes through D(5,7) with slope [tex]-\dfrac{3}{4}[/tex]. So, the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-7=-\dfrac{3}{4}(x-5)[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{15}{4}+7[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{28+15}{4}[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{43}{4}[/tex]              ...(i)

From the given graph it is clear that the line BC is a vertical line. So, the x-coordinates of all the points lie on BC are the same, i.e., 9.

Putting x=9, we get

[tex]y=-\dfrac{3}{4}(9)+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{-27}{4}+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{16}{4}[/tex]

[tex]y=4[/tex]

Therefore, the point at which the intersection of this parallel line be with the line BC is (9,4).


Related Questions

Find the roots of the equation below.

x2 - 6x + 12 = 0

-3 ± √3
3 ± √3
-3 ± i√3
3 ± i√3

Answers

Answer:

[tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Algebra II

Imaginary Numbers: √-1 = i

Step-by-step explanation:

Step 1: Define

x² - 6x + 12 = 0

Step 2: Identify Variables

Compare the quadratic to standard form.

x² - 6x + 12 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = 12

Step 3: Find Roots

Substitute in variables [Quadratic Formula]:                                               [tex]\displaystyle x=\frac{-(-6)\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] Simplify:                                                                       [tex]\displaystyle x=\frac{6\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Evaluate exponents:                                 [tex]\displaystyle x=\frac{6\pm\sqrt{36-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Multiply:                                                     [tex]\displaystyle x=\frac{6\pm\sqrt{36-48}}{2(1)}[/tex][Quadratic Formula] [√Radical] Subtract:                                                     [tex]\displaystyle x=\frac{6\pm\sqrt{-12}}{2(1)}[/tex][Quadratic Formula] [√Radical] Factor:                                                       [tex]\displaystyle x=\frac{6\pm \sqrt{-1} \cdot \sqrt{12}}{2(1)}[/tex][Quadratic Formula] [√Radicals] Simplify:                                                   [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2(1)}[/tex][Quadratic Formula] [Fraction - Denominator] Multiply:                             [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2}[/tex][Quadratic Formula] [Fraction - Numerator] Factor:                                   [tex]\displaystyle x=\frac{2(3 \pm i\sqrt{3})}{2}[/tex][Quadratic Formula] [Fraction] Divide:                                                         [tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]

A dozen of oranges costs P288.50. About how much is the cost of 5.75 dozen?
A.$2,800
B.$1,900
C.$1,800
D.$900​

Answers

Answer:

A is the correct answer, hope this helps

Jenny deposits $50,000 into an account that pays simple interest at a rate of 2% per year.
Frank deposits $50,000 into an account that also pays 2% interest per year. But it is compounded annually.
Find the interest Jenny and Frank earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.

Answers

Answer:

Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.

Step-by-step explanation:

Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:

Jenny:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000

Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000

Frank:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 51,000 x 1.02 = 52,020

Year 3 = 52,000 x 1.02 = 53,060.40

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

-1

Step-by-step explanation:

If you multiply x by -1 you will get the y value to be the negative of that number.

Hope this helps!!

Answer:

so first find what y equals then put the negative in front of it lol there is a pattern positive and negative

3,-3

4,-4

5,-5

6,-6

y,-y

Step-by-step explanation:

Help needed with this

Answers

Answer:

el 3

Step-by-step explanation:

Step-by-step explanation:

step 1. a function must only have a single y value for each x value.

step 2. for the input x, there can only be one output or result y.

step 3. #1 is a function because for each x there is only one y.

step 4. #2 and #3 are functions also.

step 5. #4 is not a function because (1, 1) and (1, -1) says x is 1 but the y is both 1 and -1 (2 values)

step 6. (2, 2) and (2, -2) also makes #4 not a function.

1. (a) Find the remainder when 5x2 – 3x + 6 is divided by 2x-1​

Answers

Answer:

The answer is 5/2X - 1/4. The remainder is 23/4.

A family wants to rent a car to go on vacation. Company a charges $70.50 and $.50 per mile. Company B charges $35.50 and nine cents per mile. How much moreDoes Company a charge for X miles then company b?

Answers

Answer:

Company A is 1.99 times B.

Step-by-step explanation:

Company A charges:

[tex]A=70.50+0.50=\$71/mile[/tex]  

Company B charges:

[tex]B=35.50+0.09=\$35.59/mile[/tex]

We just need to divide A by B:

[tex]x=A/B=1.99[/tex]

Therefore, company A is 1.99 times B.

I hope it helps you!

     

You want to take out a loan to buy a new car for which you need to finance $20,089. Your bank will give you a loan at 10% compounded monthly. You look at your budget and decide that you can afford a payment of $269 a month. How many years, to the nearest tenth of a year, must the loan be taken out to meet these conditions?
A) 20.5 years
B) 13.7 years
C) 9.8 years
D) 5.9 years

Answers

The answer is b 9.8 years



Which set of numbers is arranged in decreasing order?
A. 6.82. 26v375
B. 27.55.6.82, 137
C. 6.82.27.55.37
D. 27. 6.82, 137.55

Answers

Answer:

6.82.26v375 is the descreasing order

Answer:

it is c, 6.82 2pi 55/9 sq37

Step-by-step explanation:

write the digit on the blank which occupies the place value​

Answers

Answer:

guganitckihkgucifufu

marissa rode her bike to the park and back home. halfway to the park, she stopped at the library. she lives 1 3/10 miles from the library. how many miles did marissa ride her bike in all?

Answers

Answer:

5 2/10 miles or 5 1/5 miles, if you need to reduce fractions

Step-by-step explanation:

The way they wrote this is kind of confusing. Home to library = 1 3/10 miles. That's halfway to the park, so the distance to the park is 1 3/10 + 1 3/10 = 2 6/10 miles.

Then she had to ride that same distance home, so add

2 6/10 + 2 6/10 = 4 12/10 = 5 2/10

If your teacher has you reduce fractions, then it's 5 1/5 miles.

The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

Calculation of the number of miles:

Since

She lives 1 3/10 miles from the library.

So here the distance to the park should be

= 1 3/10 + 1 3/10

= 2 6/10 miles.

Now we basically add it

= 2 6/10 + 2 6/10

= 4 12/10

= 5 2/10

hence, The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

Learn more about miles here: https://brainly.com/question/20930272

It takes Steven 12.25 minutes to run 1.4 miles. At this rate. how long will it take him to run 2.6 miles?

Answers

It’s = 22.75
What I did was
12.25 divided by 1.4 =8.75
Then
8.75*2.6=22.75

The speed is the distance covered by an object at a particular time. The time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.

What is speed?

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance / Time

Given that it takes Steven 12.25 minutes to run 1.4 miles. Therefore, the rate or speed at which Steven runs is,

Speed = Distance / Time

Speed of Steve = 1.4 miles / 12.25 minutes

Now, if at the same rate Steven runs, then the time it will take for Steven to run a distance of 2.6 miles is,

Speed = Distance / Time

Time = Distance / Speed

Time = 2.6 miles / (1.4 miles / 12.25 minutes)

Time = (2.6 miles × 12.25 minutes)/1.4 miles

Time = 22.75 minutes

Hence, the time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.

Learn more about Speed here:

https://brainly.com/question/15100898

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find the lenght of ab

Answers

Answer:

20.6 cm (im pretty sure lol)

Step-by-step explanation:

sine rule:

(ab = x)

13.5/sin41 = x/sin90

13.5sin90/sin41 = x

x = 20.57741667

ab = 20.6cm

Which expression is undefined?

Answers

Answer:

C. 4/0

Step-by-step explanation:

You can't divide 4 by 0.

A. you would have gotten -0.5

B. you would have gotten 0

D. you would have gotten 0

Hope this help!! :)

Answer:

C. [tex]\frac{4}{0}[/tex]

Step-by-step explanation:

you cannot divide by zero, therefore option C is the correct choice because [tex]\frac{4}{0}[/tex] means 4 ÷ 0.

if 0 was the numerator, like in [tex]\frac{0}{4}[/tex] or 0 ÷ 4, the answer would be 0 because 0 divided by 4 is 0. this can be kind of confusing at times, but just remember that as long as 0 is the denominator in a fraction (meaning the 0 is under the fraction bar), the answer will always come out as undefined because you can't divide by 0.

i hope this helps! have a great day <3

Ms. Jones is making the yearbook. She has 7 pages with 153 photos on each
page. How many photos are there in the whole yearbook?

Answers

Answer:

1,071

Step-by-step explanation:

7 × 153 = 1071

plese follow me

The line with a slope of 1/3 and a y- intercept of -15 intersects the line passing through which of these pairs of points? Select THREE that apply

Answers

BCEare the correct answers!Let me know if I'm wrong!

Consider the function f(x) =
9-x²/x² - 4
For which intervals is f(x) positive? Check all that apply.
1 (-00, -3) )
(-3, -2)
0 (-2, 2)
(2,3)
(00, 3)

Answers

Answer:

a c

Step-by-step explanation:

simplify 7/341 and give step by step explanation! I will mark you a brainliest.​

Answers

Answer:

it can't be simplified

Step-by-step explanation:

Yep. It cannot be simplified.

Which algebic expression is “ten less than a number divided by twelve”?
StartFraction n Over 12 EndFraction minus 10
StartFraction 12 over n EndFraction minus 10
10 minus StartFraction n Over 12 EndFraction
10 minus StartFraction 12 Over n EndFraction

Answers

Answer:

It is n/12-10

Step-by-step explanation:

Which is A

The algebraic expression that represents "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.

To properly calculate the algebraic expression for "ten less than a number divided by twelve," we can break it down step by step.

The expression "ten less than a number" can be written as "n - 10," where n represents the unknown number.

Next, we divide the expression "n - 10" by twelve:

Start Fraction n - 10 Over 12 End Fraction

Therefore, the correct algebraic expression for "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.

Among the given choices, the correct expression is Start Fraction n - 10 Over 12 End Fraction.

To know more about algebraic:

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Can someone help me please?

Answers

Given:

A line segment AB.

A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.

To find:

The coordinates of that point.

Solution:

Section formula: If a point divide a line segment in m:n, then

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).

Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,

[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]

Let AP and AB are 3x and 10x, then

[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]

It means, point P divided the line segment in 3:7.

Using section formula, we get

[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]

[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]

[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]

[tex]P=\left(0.8,-2.3\right)[/tex]

Therefore, the coordinates of the required point are (0.8, -2.3).

Which value of x makes the two matrices inverses of each other?
5
2
1
-2
2
1
5
-2
-1
2

Answers

Answer:

A: -2

Step-by-step explanation:

TOOK THE TEST

According to the National Center for Education Statistics, there were 13.2 million undergraduate students enrolled in degree-granting postsecondary institutions in Fall 2000. In Fall 2014, the enrollment was 17.3 million students. Assuming this relationship grows linearly, write a linear function that models the undergraduate enrollment in postsecondary institutions
x years after 2000

Answers

Answer:

13.2 + 0.292X = Y

Step-by-step explanation:

Given that, according to the National Center for Education Statistics, there were 13.2 million undergraduate students enrolled in degree-granting postsecondary institutions in Fall 2000, while in Fall 2014, the enrollment was 17.3 million students, assuming this relationship grows linearly, a linear function that models the undergraduate enrollment in postsecondary institutions X years after 2000 would be carried out as follows:

2014-2000 = 14

17.3 - 13.2 = 4.1

4.1 / 14 = 0.292

Thus, each year 292,000 new students are enrolled in postsecondary institutions. Therefore, the function that determines what is requested would be the following:

13.2 + 0.292X = Y

Pls help I’ll brain-lest ASAP

Answers

P = 2( L + W )

-divide both sides by 2

P/2 = L + W

-subtract L from both sides

P/2 - L = W

or

(P - L) / 2 = W

how to rewrite 6(38) using the distributive property?

Answers

6 x 38 = 6 x ( 19 x 2)
= (6 x 19) + (6 x 2)
= 114 + 12
= 226

PLEASEEEEEEEEEEEEE ANSWER THIS FASTTTTTTTTTTTTTTTT

Answers

Answer:

B 2:1

Step-by-step explanation:

twice the square root of a number is 12​

Answers

Let us assume that the number is X

According to the statement:

2✓x = 12

Divide both sides by 2;

✓2 = 6

Square both sides,

x² = 6²

X = 36

Hence the required number is 36.

Which equation shows this volume formula solved for h?

Answers

Answer:

Step-by-step explanation: the answer is B i think

Answer:

A

Step-by-step explanation:

[tex]V = \frac{nd^2h}{6}[/tex]

multiply both sides by 6

[tex]6V = nd^2h[/tex]

divide both sides by [tex]nd^2[/tex]

[tex]\frac{6V}{nd^2} = h[/tex]

So the answer is A.

The Valley Middle School library just added 250 books to the shelves. Of those books, 40% are fiction. How many of the new books are fiction?

Answers

Answer:

100

20 = 50

50 x2

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

250 books × 40%

= 100

other way to solve it is

250 × 0.40

= 100 fiction books

Jocelyn boils 24 eggs. From experience, she knows that the shell of any given during the boiling process. If shells crack independently, what is the probability the boiling process with a cracked shell? Round to 2 decimal places.​

Answers

Answer:

.62

Step-by-step explanation:

Keep it nice and simple.

Answer:

.62

Step-by-step explanation:

FIND THE EQUATION OF THE LINE FROM THE FOLLOWING GRAPH. please give steps​​

Answers

Answer:

I can't tell

Step-by-step explanation:

I'm on an ocps school laptop and i can't see the image

Answer:

D. x+2y=12

Step-by-step explanation:

From the graph we know that the y-intercept is 6. (0,6) and the x-intercept is 12. (12,0)

The graph is going down so the slope is negative, from (0,6) count down to (0,0) and count right 12 unit to reach the x-intercept(12,0) the slope is -6/12 or -1/2.

the equation of the line is y=-1/2+6 or x+2y=12

x+2y=12

2y=-x+12

y=-1/2x+6

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