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

helppppppppppppppppppp

Answers

Answer:

c

Step-by-step explanation:

3a + 2 = 2a + 7

a +2 = 7

a = 5

Answer:

I believe it's A.) [tex]\frac{9}{5}[/tex]

It can though, be C.) 5

I might be wrong about A.

Sandra has some nickels, dimes, and quarters which total $2.50. She has the same
number of nickels as quarters; however, she has twice the number of dimes as nickels.
How many of each type of coin does she have?

Answers

Answer:

5 nickels

10 dimes

5 quarters

Step-by-step explanation:

n = number of nickels

d = number of dimes

q = number of quarters

q = n

d = 2n

0.05n + 0.10d + 0.25q = 2.50

substitute

0.05n + 0.10(2n) + 0.25(n) = 2.50

0.05n + 0.20d + 0.25n = 2.50

0.50n = 2.50

n = 5

d = 10

q = 5

Evaluate the quotient of 1.05 x 103 and 1 x 103

Answers

Answer:

for the 1st one it is 108.15x

and the 2nd it is 103x

Step-by-step explanation:

Which scale factor was applied to the first rectangle in the resulting image?

Enter your answer as a decimal in the box

Answers

Forbmali is the my name so in decimal it will be the answer 7.3 trust me bud

Answer:

0.25 is the correct answer

Step-by-step explanation:

took k-12 test and got 100%

Divide the complex numbers and express answer in the form (a+bi)

3-4i/8+2i

Answers

Answer:

[tex]\frac{4}{17}-\frac{19}{34}i[/tex]

Step-by-step explanation:

1. Approach

To divide complex numbers, first one must set the problem up as a fraction. The one will multiply the fraction by the complex conjugate. A complex conjugate is a complex number with the imaginary part multiplied by negative one. Since a number over itself equals one, this will ensure that the expression remains true. When one multiplies by the complex conjugate, the difference of squares property complex into play, therefore the denominator simplifies down to a real number (remember one can simplify the powers of (i)). Now all one has to do is divide each element in the complex number in the numerator by the real number in the denominator. If it does not divide evenly, one can just simply the fraction.

2. Solving

Set up as a fraction

[tex]\frac{3-4i}{8+2i}[/tex]

Multiply by the complex conjugate

[tex]\frac{3-4i}{8+2i}*\frac{8-2i}{8-2i}[/tex]

Simplify

[tex]\frac{(3-4i)(8-2i)}{(8+2i)(8-2i)}[/tex]

[tex]\frac{24-6i-32i+8i^{2}}{64-4i^{2}}[/tex]

[tex]\frac{24-6i-32i-8}{64-4(-1)}[/tex]

[tex]\frac{16-38i}{64+4}[/tex]

[tex]\frac{16-38i}{68}[/tex]

[tex]\frac{8-19i}{34}[/tex]

Find the value of x for this figure

Answers

Answer:

x = 101°

Step-by-step explanation:

15 + 25 + 39 + x = 180

79 + x = 180

x = 101

The sum of all angles of a triangle is 180. So to find the angle you solve 180-(15+25) which equals 140. Then you subtract 39 from 140 to get x. X=101

Brian received a gift card of $60 for a pizza restaurant. The restaurant charges $5 per pizza. Ashley received a gift card of $100 for a different pizza restaurant.
The restaurant charges $10 per pizza.
Let x be the number of pizzas purchased.helpppp!!
See photo^^^

Answers

Ashley can purchase 10 pizzas and Brian can purchase 12 so there would be nothing left on the cards

5/60=12

10/100=10

A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The vet surveys 120 three-year-old pit bulls and finds 30 of them have tooth decay. The vet then surveys 160 three-year-old golden retrievers and finds 32 of them have tooth decay. Number the population of pit bulls and golden retrievers by 1 and 2, respectively. Calculate a 90% confidence interval for the difference in the population proportion of pit bulls and golden retrievers that have tooth decay. Which of the following is correct?
A) [-0.0492, 0.1492]
B) [-0.0332, 0.1332]
C) [0.0199. 0.0801]
D) [0.0428, 0.0572]

Answers

Answer: B) [-0.0332,0.1332]

Step-by-step explanation: Confidence Interval is an interval where we can be a percentage sure the true mean is.

The confidence interval for a difference in population proportion is calculated following these steps:

First, let's find population proportion for each population:

[tex]p_{1}=\frac{30}{120}=0.25[/tex]

[tex]p_{2}=\frac{32}{160}=0.2[/tex]

Second, calculate standard deviation for each proportion:

[tex]\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395[/tex]

[tex]\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316[/tex]

Now, we calculate standard error for difference:

[tex]SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}[/tex]

[tex]SE=\sqrt{0.0395^{2}+0.0316^{2}}[/tex]

SE = 0.0505

The z-score for a 90% CI is 1.645.

Then, confidence interval is

[tex]p_{1}-p_{2}[/tex] ± z-score.SE

[tex]0.25-0.2[/tex] ± [tex]1.645(0.0505)[/tex]

0.05 ± 0.0831

The limits of this interval are:

inferior: 0.05 - 0.0831 = [tex]-0.0332[/tex]

superior: 0.05 + 0.0831 = 0.1332

The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is [tex][-0.0332,0.1332][/tex].

Bütünler iki açıdan büyük olanın ölçüsü küçük olanın ölçüsünün 4 katından 10°eksiktir. Buna göre büyük açı kaç derecedir?​

Answers

Answer:

Step-by-step explanation:

x+y = 360

y = 360-x

x = 4y-10

x = 4(360-x)-10

x = 1440-4x-10

5x = 1430

x = 286°

Answer:34

Step-by-step explanation:

1 4
. Find the value of discriminant of the quadratic equation 5m? - m = 0
Write down the formula of median​

Answers

Answer:

[tex]D = 1[/tex] --- Determinant

[tex]M = \frac{N+1}{2}th[/tex] --- Median

Step-by-step explanation:

Given

[tex]5m^2 - m = 0[/tex]

Required

Calculate the determinant (D)

This is calculated using

[tex]D = b^2 - 4ac[/tex]

In [tex]5m^2 - m = 0[/tex]

[tex]a = 5[/tex], [tex]b = -1[/tex] and [tex]c = 0[/tex]

So, we have:

[tex]D = b^2 - 4ac[/tex]

[tex]D = (-1)^2 - 4 *5*0[/tex]

[tex]D = 1 - 0[/tex]

[tex]D = 1[/tex]

(b) Median Formula.

Median (M) is calculated using:

[tex]M = \frac{N+1}{2}th[/tex] item

Do set of numbers DO NOT form a Right Triangle?
4, 5, 6
9, 12, 15
5, 12, 13
3,4,5

It’s not 3,4,5 apparently..

Answers

Step-by-step explanation:

4,5,6 do not form a right angle triangle cus 4²+5² is not equal to 6² i.e 16+25is not equal to 36

a church choir in mogase has 77 members and they need minibuses and minibuses only carry 18 members how many minibuses are needed ?​

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 buses

Step-by-step explanation:

77 divided by 18 is 4.2 so the people need 5 buses to fit means 4 full buses and 1/5 of 5th bus is used

Given that a linear function goes through the points (3,2) and (5, 6) determine the slope
of the line.

Answers

Answer:

2

Step-by-step explanation:

The formula of slope from 2 points is change in y divided by change in x, so you can apply that to this problem.

First, find the change in y between the two points. To do this, do y2 - y1.

y2 = 6 and y1 = 2, so you have 6 - 2 = 4.

Next, find the change in x between the two points. To do this, do x2 - x1.

x2 = 5 and x1 = 3, so you have 5 - 3 = 2.

All you're really doing here is finding the distance between the x values and the y values of the points, if that makes sense.

The last step is to do change in y divided by change in x, so 4 / 2 = 2.

This means that the slope of the line is 2.

find the sum:
4/100 + 6/10

Answers

Hello there, and welcome to Brainly!

In the following, you are adding the fractions together. Remember that, when adding or subtracting fractions, the denominator (bottom number in the fraction) must be the same. What you do to the denominator, you must do to the numerator as well.

Multiply 10 to both the numerator and denominator of the second fraction:

(6/10) * (10/10) = 60/100

Add across:

4/100 + 60/100 = 64/100

64/100 is your answer.

~

Concept Bank a) central tendency d) event g) population j) random experiment m) sample mean p) sample space b) continuous random variable e) measures of spread h) probability k) range n) sample median q) standard deviation c) discrete random variable f) outlier i) variability l) sample o) sample mode r) statistical inference ____ The practically infinite number of possible values that a random variable can take on in an experiment ____ The process of observing the outcome of a random chance event ____ The number that quantifies the likelihood that a certain random event will happen ____ All possible outcomes that can result from a random experiment ____ This exist when successive observations of a particular system vari

Answers

Answer:

Continuous random variable - The practically infinite number of possible                   values that a random variable can take on in an experiment

Random experiment - The process of observing the outcome of a random   chance event

Probability - The number that quantifies the likelihood that a certain  random event will happen

Sample space -  All possible outcomes that can result from a random experiment

Variability - This exist when successive observations of a particular system variable or phenomenon do not produce the exact same result.

Statistical inference - The use of information from a sample to draw conclusions about the population

Sample mean - The most commonly used measure of central tendency of a distribution of data

Event - A subset of the sample space

Standard deviation - A measure of the extent to which the values in the data set differ from the mean

Outlier - An observation point that is distant from other observation.

Evaluate the function when x = 3.

f(x) = 5x + 2

A. -1/5
B. 1
C. 3
D. 7

Answers

F(x)=3^3 + 5(3)^2 +1

F(x)=27 + 5(9) +1

F(x)=27+45+1

F(x)=73

The one above is correct

A polygon is shown below.
26 cm
U
12 cm
1.
26 cm
X W
16 cm
Y
7 cm
What is the area of polygon TUVWXYZ?
O A 87 cm
O B. 120 cm
O C. 468 cm2
OD. 494 cm2

Answers

I still haven't reached that exercise, sorry

plz answer correctly 60 isnt the answer

Answers

Answer:

24

Step-by-step explanation:

multiply the suit, wig and talent

3x2x4 = 24

Can I get some help with question 12? I need to solve it while making a proof. I’ve asked at least 5 tutors for help and none of them know what to do.

Answers

Answer:

Step-by-step explanation:

Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.

Angle GEB is a right angle by given.

Angle DFC is a right angle by given.

The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.

The two triangles are similar by  angle-angle-angle.

This year, the cost of an amusement park pass is twenty percent more than last year. This year's cost is described by an expression where p is last year's cost.
p + 0.20p


Which of these expressions is another way to describe this year's cost? whats the answer

Answers

Answer:

Step-by-step explanation:

Your answer

You have already write down a expression which is p + 0.2p

So another expression can be : 1.2p

Mark it as Brainlist answer. Follow me.

Answer:

1.20p

Step-by-step explanation:

I did it, and I got it right on my test.

Hope this helps :)

In which step did Viet make an error?

Answers

Answer:

Step 1

Step-by-step explanation:

When moving the 4 to the other side, Viet was supposed to subtract 4 from each side, leaving 0 on the left, and 102-4 on the other side. 102-4=98, not 106. Viet added when he was supposed to subtract.

derive

Sinxy = x² + 2xy​

Answers

Answer:

    [tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]

Step-by-step explanation:

Step(i):-

Given

        sin xy = x² + 2xy ...(i)

Apply

       [tex]\frac{d}{dx} UV = U^{l} V + U V^{l}[/tex]

     [tex]\frac{d}{dx} x^{n} = nx^{n-1}[/tex]

Differentiating equation (i) with respective to 'x', we get

      [tex]cosxy \frac{d}{dx} (xy) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]

      [tex]cosxy (x\frac{dy}{dx} +y(1)) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]

     [tex]cosxy (x\frac{dy}{dx}) + ycosxy = 2x + 2( x\frac{dy}{dx}) +2 y)[/tex]

   [tex]cosxy (x\frac{dy}{dx}) - 2( x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]

   [tex](cosxy-2) (x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]

       [tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]

find the angle of elevation from c to a

Answers

Answer:

32 Degrees

Step-by-step explanation:

Thank me later lol

WHY DOES NO ONE REPLY TO MY Q"S!!!!!!
In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 57 acres. Suppose we randomly survey 41 farmers from 1940.

Answers

Answer:

117 is the smaller value and 231 is the larger value

Step-by-step explanation:

Standard deviation is 57

Middle 50% is average and one standard deviation to each direction

So if the average is 174

174 - 57 is 117

174 + 57 is 231

Solve the following triangle angles

Answers

Answer:

X=69 degree

?= 50 degree

Step-by-step explanation:

exterior angle prop so 77+X =146

X=146-77

X=69

in sencond triangle

90+40+?=180

?=180-130

?=50

Pls help me I’ll brainlest I need a good grade on this

Answers

Answer:12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Simplify -12+8+5+(-9)​

Answers

FIRST Remove parentheses.
−12+8+5-9

Simplify -12+8 to -4

-4 + 5 — 9

Simplify
−4 + 5 −4+5 to 1
1 — 9

Simplify

-8 is your answer

Answer:

The answers is -8

Step-by-step explanation:

Remove parentheses.

-12 + 8 + 5 - 9

Add -12 and 8

-4 + 5 -9

Add -4 and 5

1 - 9

Subtract 9 from 1

-8

The answers is -8

Hope this helps

Solve for b can someone help me please

Answers

The angles form a linear pair/ are supplementary, so they add to 180

7b - 2 + 3b + 2 = 180
7b + 3b - 2 + 2 = 180
10b = 180
b = 18

Check:
7(18)- 2 + 3(18)+ 2 = 180
126 - 2 + 54 + 2 = 180
124 + 54 + 2 = 180
178 + 2 = 180
180 = 180 :)

Step-by-step explanation:

hope this will help you..

Which expressions are equivalent? *
2 points
2+6x AND 2(3x+1)
3(x+1) - (1+x) AND 2x+3
3x AND 4(x+1) -1x - 4
5.5 + 2.1x + 3.8x - 4.1 AND 1.4 + 5.9x
Submit

Answers

749329 Bc 290=88889+88

Place the following Numbers in order -5.2, - 28/5 , 1 8/11 , 3/2

Answers

Hello!

So, I didn’t know if you wanted me to put them from (Least to Greatest) or (Greatest to Least).. So, I did both.

(LEAST TO GREATEST):

3/2, 1 8/11, -28/5, -5.2

________________________________

(GREATEST TO LEAST):

-5.2, -28/5, 1 8/11, 3/2

________________________________

There you go, I hope this helps! Have a great day/night and stay safe! :)

Just pick the one that you were suppose to find the answer for. :)

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