Given: BI ‖ OD

Prove: ΔBIG ∼ ΔDOG

Accurately draw and label the picture and mark the given information – 2 points

Give logical steps to prove that the triangles are similar – 4 points

Give correct reasons for each step – 4 points

This can be written as a two column proof or a paragraph proof.

Answer:

Step-by-step explanation:

The system of equations with no solution is:

y + 3x = -7

4z - 2y = 10

The system of equations with exactly one solution is:

y = 6z+8

y = 6x-4

y = 3x + 2

2z-y = 5

y=-2z+8

The system of equations with infinitely many solutions is:

4z + y = 8

Answer:

Step-by-step explanation:

the consecutive are 39,40,41 and the smallest here is 39

Hope this helped

Answer:

centre = (5, - 6 ) , radius = 7

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 10x + 12y + 12 = 0 ( subtract 12 from both sides )

x² + y² - 10x + 12y = - 12 ( collect terms in x/ y )

x² - 10x + y² + 12y = - 12

using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 5)x + 25 + y² + 2(6)y + 36 = - 12 + 25 + 36

(x - 5)² + (y + 6)² = 49 = 7² ← in standard form

with centre (5, - 6 ) and radius = 7

Answer:

Center = (5, -6)

Radius = 7

Step-by-step explanation:

To find the center and the radius of the circle represented by the given equation, rewrite the equation in standard form by completing the square.

To complete the square, begin by moving the constant to the right side of the equation and collecting like terms on the left side of the equation:

\(x^2-10x+y^2+12y=-12\)

Add the square of half the coefficient of the term in x and the term in y to both sides of the equation:

\(x^2-10x+\left(\dfrac{-10}{2}\right)^2+y^2+12y+\left(\dfrac{12}{2}\right)^2=-12+\left(\dfrac{-10}{2}\right)^2+\left(\dfrac{12}{2}\right)^2\)

Simplify:

\(x^2-10x+(-5)^2+y^2+12y+(6)^2=-12+(-5)^2+(6)^2\)

       \(x^2-10x+25+y^2+12y+36=-12+25+36\)

       \(x^2-10x+25+y^2+12y+36=49\)

Factor the perfect square trinomials on the left side:

\((x-5)^2+(y+6)^2=49\)

The standard equation of a circle is:

\(\boxed{(x-h)^2+(y-k)^2=r^2}\)

where:

Comparing this with the rewritten given equation, we get

Therefore, the center of the circle is (5, -6) and its radius is r = 7.

The time needed for the sample size to double is given as follows:

26.3 hours.

The exponential function that models the sample size after t hours is given as follows:

y(t) = y(0)e^(0.0264t).

The parameter y(0) represents the initial population, hence when the population is doubled, we have that:

y(t) = 2y(0).

Then we must solve the exponential function for the variable t, applying the natural logarithm, which is the inverse of the exponential, as follows:

2y(0) = y(0)e^(0.0264t).

e^(0.0264t) = 2

0.0264t = ln(2)

t = ln(2)/0.0264

t = 26.3 hours.

More can be learned about exponential functions at https://brainly.com/question/30113628

#SPJ1

Answer:

104.4 just round

Step-by-step explanation:

Answer:

104.4

Step-by-step explanation:

its already at 1 decimal place

Answer:

You haven't displayed the full question

Answer:

22%

50x2 = 100

11x2 = 22

Step-by-step explanation:

Answer:

your answer would be =5.5

Step-by-step explanation:

because you would subtract 50 -11 and then you would make it a percentage and i got 5.5

Answer:

its D

Step-by-step explanation:

Beacsue i just think its d the rest  

Answer:

its D

Step-by-step explanation:

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

Answer:

\(z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23\)    

The p value would be given by:

\(p_v =2*P(z<-2.23)=0.0257\)  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

\(\bar X=46.5\) represent the mean

\(\sigma=1.1\) represent the population standard deviation

\(n=150\) sample size  

\(\mu_o =46.7\) represent the value to verify

\(\alpha=0.05\) represent the significance level for the hypothesis test.  

z would represent the statistic

\(p_v\) represent the p value

Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:  

Null hypothesis:\(\mu = 46.7\)  

Alternative hypothesis:\(\mu \neq 46.7\)  

Since we know the population deviation the statistic is given by:

\(z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}\)  (1)  

Replacing we got:

\(z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23\)    

The p value would be given by:

\(p_v =2*P(z<-2.23)=0.0257\)  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

\(( \frac{ - 72}{2} )^{2} \\ = \frac{ - 72 \times - 72}{2 \times 2} \\ = \frac{5184}{4} = 1296\)

the answer of the equation is 1296

Las unidades de medida mencionadas corresponden a masa, superficie y longitud. y se representan con potencia 5.3 × 10⁵, 3,3 × 10⁵, 4 × 10³, y 3 × 10³

Por otra parte, las cantidades mencionadas se representan utilizando la potencia de 10 de la siguiente manera.

5.3 × 10⁵ = 5,3 toneladas

3.3 × 10⁵ = 3,3 hectáreas

4 × 10³ = 4000 msnm

3 × 10³ = 3000 msnm

Esta pregunta esta incompleta porque le falta el texto. A continuación se anexa una imagen del texto

Aprenda más en: https://brainly.com/question/17278292

Answer:

4/5

Step-by-step explanation:

y is 5 times as big as x

When y is 4, divide it by 5 to find x

x = 4/5

Answer:

I would say 20 or 30

Step-by-step explanation:

if y=15 and x=3 and than x=4 than y would be 20 or 30

Answer: 165 miles

Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.

Answer:

The answer is 165miles

Step-by-step explanation:

\(distance = speed \times time\)

d=55×3

d=165 miles

Answer:

5%

Step-by-step explanation:

38 is 95% of 40 therefore the change is 5%

The equation of the line is y = 2/3x + 1

The graph represents the given parameter

From the graph, we have the following points that can be used in our computation:

(x, y) = (0, 1) and (3, 3)

The equation of the line is then calculated using the following equation

y = (y₂ - y₁)/(x₂ - x₁) * (x - x₁) + y₁

Where

(x, y) = (0, 1) and (3, 3)

Substitute the known values in the above equation, so, we have the following representation

y = (3 - 1)/(3 - 0) * (x - 0) + 1

Evaluate

y = 2/3 (x - 0) + 1

So, we have

y = 2/3x + 1

Hence, the line equation is y = 2/3x + 1

Read more about linear equations at

https://brainly.com/question/2030026

#SPJ1

Answer:

3/5 OR 0.6

Step-by-step explanation:

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

#SPJ1

Not necessarily, the more correct definition is opposite reciprocal slopes.

The example used is how horizontal and vertical lines are parallel. Horizontal lines have a slope of 0, also written as 0/1. However, vertical lines have an undefined slope, which isn't necessarily negative. It has a slope of 1/0, which is undefined. In this case, the reciprocal isn't negative.

In all other cases (1 and -1, 2 and -1/2, etc.) yes, the perpendicular pairs are negative and reciprocal.

The type of model that best fits the situation of a $500 raise in salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year         Salary        Change in year         Change in salary

2010           A                           -                                       -

2011           A + 500     2011 - 2010 = 1          A + 500 - 500 = 500

2012          A + 1,000   2012 - 2011 = 1          A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).              

In this case, m = $500 and b is the starting salary: y = 500x + b.

Answer: 130.5 ft. ; 30 degrees

Step-by-step explanation:

(1) Understand basic trig rules. You can solve this in either of two ways: use sine, or use cosine, to find the length of the hypotenuse of the given triangle.

- This is a 90 degree triangle where we are given two angles: 90 degrees and 40 degrees. 180 - 90 - 40 = 50 degrees as the other angle.

sin(50) = 100/x

cos(40) = 100/x

x = 100/sin(50)

OR

x = 100/cos(40)

Plug this into a calculator, ensuring it is in degrees mode.

x = 130.5 ft

(2) In this situation, use trig basics again:

cos(A) = 13/15 --> A = arccos(13/15) = 29.9 degrees or 30 degrees. The given hint in the problem is that angle A is the smallest.

CHECK:

We can check if our logic makes sense by ensuring A is a smaller angle than angle C: 180 - 90 - 30 = 60 degrees = Angle C. Angle C > Angle A.

The quadratic function f(x) = 2x² - 5x + 3, it is found :

a. The factored function is, f(x) = 2(x - 1)(x - 1.5).

b. The x-intercepts of the function are: x = 1, x = 1.5.

c. The end behavior of the graph is:

As x -> -∞, f(x) -> -∞.

As x -> ∞, f(x) -> ∞.

The quadratic function is :

f(x) = 2x² - 5x + 3.

Hence the coefficients are:

a = 2, b = -5, c = 3.

Using a calculator with these coefficients, the x-intercepts are:

x = 1.

x = 1.5.

Then the factored form of the function;

f(x) = 2(x - 1)(x - 1.5).

Let the leading coefficient of 2 and the x-intercepts.

This is a concave-up parabola, it goes to positive infinity to the left and to the right of the graph.

Hence the end behavior is;

As x -> -∞, f(x) -> -∞.

As x -> ∞, f(x) -> ∞.

To determine the graph, the axis of symmetry is:

x = -b/2a = 5/(2(2)) = 1.25.

The y-coordinate at this point, that is the turning point of the function, is:

f(1.25) = 2(1.25)² - 5(1.25) + 3 = -0.125.

The y-intercept of the function

f(0) = 2(0)² - 5(0) + 3 = 3.

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

Answer:

I believe the answer is

\(41 - 19\)

Step-by-step explanation:

hope this helps!

✧◝(⁰▿⁰)◜✧

For the given scenario the mean changes from 80.42 to 82.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, the average high temperatures in degrees for a city are 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57.

Now, average = (58+61+71+77+91+100+105+102+95+82+66+57)/12

= 965/12

= 80.42

If a value of 101° is added to the data, then the new average is

(965+101)/(12+1)

= 1066/13

= 82

Therefore, for the given scenario the mean changes from 80.42 to 82.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ1

The level of agreement between judge X and judge Y is also determine by rank correlation which is 0.8787.

A technique for determining the degree of association between two variables is rank correlation. Similar to the Pearson correlation coefficient, the rank correlation coefficient is calculated using the observations' ranks rather than their numerical values. When there is sufficient information to rank the data but the data are not available in numerical form, this method is useful.

See the attached table for the solution at last find:

∑d² = 20

The rank correlation, R = 1- [6∑d² ÷ n(n²-1)]

R = 1- [6×20 ÷ 10(100-1)]  = 0.8787

To know more about rank correlation, visit:

https://brainly.com/question/27842223

#SPJ1

Answer:

(0, -7)

Step-by-step explanation:

Since -4x is the slope, then -7 is the y-intercept.

For finding y intercept we substitute x=0

y = -7

The ordered pair would be

(0,-7)

hope this helps and is right. p.s. i really need brainliest :)

y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.

Where m represents the slope and y intercept is -2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -4 is 1/4.

Therefore, the slope of the perpendicular line is 1/4.

The perpendicular line is y=1/4x-2.

We know that the parallel lines have same slope.

y=-4x+3

Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ1

Answer:

-3>x.

Step-by-step explanation:

I did mental math.

Answer:

I think. its below

Step-by-step explanation:

1 x 8 = 8

4 x 8 = 32

If Ann broke up a large array into two smaller arrays. The two smaller arrays show 1 X 8 and 4 X 8 then 40 is Anna started array.

Multiplication is a method of finding the product of two or more numbers

Given,

Ann broke up a large array into two smaller arrays.

Th first smaller array show  1 X 8

The second smaller array show  4 X 8.

First smaller array show  1 X 8

=8

Second smaller array show  4 X 8.

32

Now let us add both the arrays

32+8=40

Hence, 40 is the  large array that Ann started.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ2