Why are the triangles below congruent?

Answer:

15 inches

Step-by-step explanation:

If 3 miles represents 5 inches and you want to know what represents 9 miles Just multiply 5*3 to get 15

Answer:

1. x = -3/2 y+ 1/2z - 2

2. x = -2/3y + -2/3z + 14/3

3. x = 3z - 13

Step-by-step explanation:

solve for x

Answer:

3/32

Step-by-step explanation:

the reason it’s 3/32 is because you have to divide 3/4 divide by 8. So that means 3/4x1/8 and that gives you 3/32. I hope that helped you!

Answer:

10. It will take 14 minutes for the balloon's elevation to change by -315 feet

11. mm I'm not sure but this answer was on Brainly before and they got 4 1/2 hours

Step-by-step explanation:

Hope this helps sorry I took long lol

Answer:

x = 23

Step-by-step explanation:

x + 25 = 48

x = 23....

Answer:

23

Step-by-step explanation:

You subtract 25 from 48

48 - 25 = 23

Answer:

The number of students to be sampled is [tex]n = 1789 [/tex]

Step-by-step explanation:

From the question we are told that

  The margin of error is  E = 0.03

Generally the proportion of students that receive financial aid is mathematically represented as  

          [tex]\^ p = \frac{118 }{200}[/tex]

=>        [tex]\^ p = 0.59[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58 [/tex]

Generally the sample size is mathematically represented as

     [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{2.58}{0.03} ]^2 * 0.59(1 - 0.59) [/tex]

=>  [tex]n = 1789 [/tex]

Using the margin of error, it is found that 1033 students would need to be sampled.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid, hence, the estimate is:

[tex]\pi = \frac{118}{200} = 0.59[/tex]

99% confidence level

So [tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].  

The sample size needed is n when M = 0.03, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.59(0.41)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.59(0.41)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.59(0.41)}}{0.03}[/tex]

[tex]\sqrt{n}^2 = \left(\frac{1.96\sqrt{0.59(0.41)}}{0.03}\right)^2[/tex]

[tex]n = 1032.5[/tex]

Rounding up, it is found that 1033 students would need to be sampled.

A similar problem is given at https://brainly.com/question/25420216

Answer:

[tex]C = (30,500)[/tex]

Step-by-step explanation:

Given

[tex]Area = 1800ft^2[/tex]

[tex]A = (6,0)[/tex]

[tex]B = (0,25)[/tex]

[tex]C(x,y) = (30,y)[/tex]

Required

Determine the coordinates of C

The area of triangle is calculated as thus:

[tex]Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}[/tex]

This gives:

[tex]1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}[/tex]

[tex]1800= \frac{|6(25 - y) + 30(0- 25)|}{2}[/tex]

[tex]1800= \frac{|6(25 - y) + 30(-25)|}{2}[/tex]

[tex]1800= \frac{|150 - 6y -750 |}{2}[/tex]

[tex]1800= \frac{|150 -750- 6y |}{2}[/tex]

[tex]1800= \frac{|-600- 6y |}{2}[/tex]

Multiply through by 2

[tex]2 * 1800= |-600- 6y|[/tex]

[tex]3600= |-600- 6y|[/tex]

[tex]3600= |-(600+ 6y)|[/tex]

[tex]3600= 600+ 6y[/tex]

Solve for 6y

[tex]6y = 3600 - 600[/tex]

[tex]6y = 3000[/tex]

Solve for y

[tex]y = 3000/6[/tex]

[tex]y = 500[/tex]

Hence:

The point is:

[tex]C = (30,500)[/tex]

Given problems:

    Line parallel that passes through (2,3);

Solution:

To solve this problem, we need to first understand what parallel lines are.

A parallel line is any two line that does not meet at any point.

In order to achieve this, both lines must have the same slope.

 So, we find the slope of the given line and write in the form for a straight line.

 Slope of line  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

      let   x₁, y₁ = (-2, -1)

              x₂, y₂ = (2 , -3)

Now input the parameters and solve for the slope;

            Slope of line = [tex]\frac{-3-(-1)}{2- (-1)}[/tex]   = [tex]\frac{-2}{3}[/tex]

Any line that would be parallel to this must have the same slope.

 Equation of a straight line;

                  y  = mx + c;

      y and x are the coordinates;

      m is the slope

      c is the y-axis intercept;

       From  (2, 3);

        y = 3 and x = 2; m = [tex]\frac{-2}{3}[/tex]

     3 = [tex]\frac{-2}{3}[/tex] x 2 + C

     3 = [tex]-\frac{4}{3}[/tex] + C

       C = [tex]\frac{13}{3}[/tex]

 So the equation of the line is;

               y = [tex]\frac{-2}{3} x[/tex]  + [tex]\frac{13}{3}[/tex]

 Multiply through by 3;

              3y = -2x + 13

The equation of the line is 3y = -2x + 13

Answer:

x + 2y = 8

Step-by-step explanation:

Answer:

1.Commutative

2.Associative

3.Distributive

4.Double Negative

Step-by-step explanation:

Hope this helps! :)

Answer:

Answer:

See below

Step-by-step explanation:

As CD⊥AB, ∠BDC = ∠ADC = 90°

∠BDC ≅ ∠ADC

and

We can substitute ∠ADC with ∠BDC and ∠DAC with ∠DBC

Then we get same equation for ∠BCD and ∠ACD

Therefore ∠BCD = ∠ACD = 1/2∠ACB

It proves that CD bisects ∠ACB

Answer:

x-int: (-1.2, 0)

y-int: (0, -0.7)

Step-by-step explanation:

The x-intercept is the x value when y = 0.

Another way to reword that is when the graph crosses the x-axis.

The y-intercept is the y value when x = 0.

Another way to reword that is when the graph crosses the y-axis.

According to the graph, when y = 0 and when the line crosses the x-axis, the x-value is -1.2. Therefore, our x-intercept is (-1.2, 0).

According to the graph, when x = 0 and when the line crosses the y-axis, the y-value is -0.7. Therefore, our x-intercept is (0, -0.7).

Step-by-step explanation:

The total expenses stay the same at $92,039.

The income changes to 12,000 × $35 = $420,000.

So the profit is $420,000 − $92,039 = $327,961.

Answer:

Eva has 16% of the book left to read

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

400-336=64

64÷400= 0.16

0.16x100=16

16% is your answer

Answer:

Step-by-step explanation:

Length L = 3 + W

Perimeter P = 42 in

Perimeter = 2L + 2W

plugin values:

42 = 2(3 + W) + 2W

42 = 6 + 2W + 2W

42-6 = 4W

W = 36 / 4

W = 9  

solve L by substituting the value of W=9 into the equation:

L = 3 + W

L = 3 + 9

L = 12

therefore, the dimensions of the rectangle:

                Length = 9 in

                Width = 12 in

The dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

The length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.

Let l be the length and w  be the width of the rectangle.

Length l = 3 + w

Perimeter P = 42 in

Perimeter = 2l + 2w

42 = 2(3 + w) + 2w

w = 36/4

w = 9 in

solve for l by substituting the value of w = 9 into the equation:

l = 3 + w

l = 3 + 9

l = 12 in

Thus, the dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.

Learn more about the rectangle here:

https://brainly.com/question/15019502

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Answer:

  1

Step-by-step explanation:

The distance between any two numbers on the number line is their difference:

  3 - 2 = 1

_____

Any two consecutive integers have a distance between them of 1 on the number line.

(1, -2) is the coordinates that exists on the line y = 2x - 4

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation of a line, we need to find that on which of the given points it lies,

So, we will put the points one by one, the point which stratify the equation will be the answer.

The equation :- y = 2x-4

1) (1, -2)

Put x = 1, y = -2 in the equation,

2(1)-4

= 2-4 = -2

LHS = RHS

Since, point (1, -2) satisfy the equation therefore, the line will pass through it.

Hence, (1, -2) is the coordinates that exists on the line y = 2x - 4

Learn more about equations, click;

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Answer:

your answer is x< -2.... because 1st we have to take common between 5x and 10.

Answer:

.9 pounds to 1.1 pounds

Step-by-step explanation:

10% of 1.0 is .1, so it allows for a .1 addition or subtraction to the weight of the box

Answer:

the answer is 0.9-1.0

Step-by-step explanation:

the answer is that because my teacher gave me the answer

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

[tex](2t-4)(3t+3)[/tex]

[tex]= (2t + -4) (3t + 3)[/tex]

[tex]= (2t) (3t) + (2t) (3) + (-4) (3t) + (-4) (3)[/tex]

[tex]= 6t^2 + 6t - 12t - 12[/tex]

[tex]= 6t^2 - 6t - 12[/tex]

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Answer:

Let x = the age of the youngest child

Let x + 1 = the age of the middle child

Let x + 2 = the age of the oldest child

x + x + 1 + x + 2 = 39

3x + 3 = 39

3x = 36

x = 12 years

Answer:

It is 1/2

Step-by-step explanation:

the rise is 2

the run is 4

2 over four simplifies to one half

Answer:

0.35

Step-by-step explanation

6 ) 2.1 (  0.35   <------- Quotient.

     18  

       30

       30

        ...

Answer:

A function transformation takes whatever is the basic function f (x) and then "transforms" it (or "translates" it), which is a fancy way of saying that you change the formula a bit and thereby move the graph around. ... Moving the function down works the same way; f (x) – b is f (x) moved down b units.

Answer:

5000

Step-by-step explanation:

Let's start by evaluating what we are given. 50 times the sum of 64 and 36. Ok, so 50 times which is the way to write x (multiply) and the sum of 64 and 36 is another way to write 64 + 36.

Lets put this together now!

50 x ( 64 + 36 ) = 50 x ( 100 )

                         = 5000

Answer:

C. Binary Data

Step-by-step explanation:

Standard form of a linear equation is an equation that shows the form a straight line. It has three constants which are A,B, and C. The two variables being X and Y.

Here is the linear equation.

Ax+By=C