Which postulate proves these two
triangles are congruent?

If so, [tex]m=\frac{x+a}{2}[/tex] when solved for x will yield [tex]x=2m-a[/tex].

Hope this helps.

Answer:

A

Step-by-step explanation:

The value of x + y for the given system of equations is found to be as 5.

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given equations are as follows,

x + 7y = 23                      (1)

3x + 14y = 48                  (2)

Solve the equations by substituting the value of x from equation (1) into (2) as follows,

3x + 14y = 48

=> 3(23 - 7y) + 14y = 48

=> -21y + 14y = 48 - 69

=> -7y = -21

=> y = 3

Then, x = 23 - 7y = 23 - 7 × 3 = 2

Thus, the value of x + y is given as 3 + 2 = 5.

Hence, the value of the required expression is given as 5.

To know more about system of equations click on,

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9514 1404 393

Answer:

  $541.32

Step-by-step explanation:

Putting the given values into the given formula, you have ...

  V = P·e^(rt)

  V = $277e^(0.067·10) ≈ $541.32

Answer: Option B.

Step-by-step explanation:

When we have an interval with lower bound m and upper bound M, such that:

m ≤ x ≤ M

The mid-point is:

(m + M)/2

in this case, we have:

m = 22

M = 27

then the mid-point is:

(22 + 27)/2 = 24.5

and we know that f = 7, then:

f*x = f times the mid-point = 7*24.5 = 171.5

The correct option is B.

Answer:

false

Step-by-step explanation:

consider y = 3

its 6 for one and 3 for the other

Answer:

18.6

Step-by-step explanation:

Answer:

18.6

Step-by-step explanation:

trust me brotha plz give me like

Answer:

83 inches

Step-by-step explanation:

Answer:

The Answer Is 8 five dollar bills

Step-by-step explanation:

First you Multiply 5 by 8 Then divide the answer by 5

Answer:

4) add 5x and 9x

 answer:   14x - 30

7) subtract 28 from 15

answer: x - 13

Step-by-step explanation:  sorry if it is wrong I try my best

Answer: 105m²

Formula for Area of Circle: A = π r²

so, A = 3.14 (6)² (I got 6 because radius is half the diameter)

Don't forget to divide the final area of the circle in half, because It's only a semicircle.

Formula for Triangle: A = [tex]\frac{bh}{2\\}[/tex]

so, A = [tex]\frac{6(8)}{2}[/tex] (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)

You need to multiply the final area of the triangle by 2 since there are 2 triangles.

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky smart.

Answer:

deez nù Tx. . .

Step-by-step explanation:

source:trust me bro

Step-by-step explanation:

x-3y=9

x=9+3y

x=12y

Answer:

y = 802

Step-by-step explanation:

Answer:

Mean: [tex]20.2[/tex], Median: [tex]20[/tex], Mode: [tex]18[/tex]

Step-by-step explanation:

The mean or average of a data set is calculating by dividing the sum of the data values by the number of the data values. In this case, the sum of the data values is [tex]18+24+20+18+21=101[/tex] and the number of data values is [tex]5[/tex], so the mean is [tex]\frac{101}{5}=20.2[/tex].

The median of a data set is the middle value when the data is ordered in ascending order, meaning least to greatest. Right now, the data is not in ascending order, but after ordering it, we get [tex]18,18,20,21,24[/tex]. Since there are [tex]5[/tex] data values in this set, the middle value, or median, will be the [tex]3[/tex]rd value, which, in this case, is [tex]20[/tex].

Finally, the mode of a data set is the most frequent value, or the value that shows up the most. In this case, [tex]18[/tex] shows up twice, unlike the other numbers, which only show up once, so we know that the mode is [tex]18[/tex]. Hope this helps!

Answer:

24ounces

Step-by-step explanation:

16 ounces is 2x 8

8=1:1 ratio

8x3=24

2:3 = 16:24

Answer:

What is the shape pf the figure?

Answer:

y>-12

Step-by-step explanation:

y+14>2

y+14-14>2-14

y>-12

Answer:

52 m²

Step-by-step explanation:

12x3 = 36

2 x (11-3) = 2x8 = 16

36+16 = 52

Step-by-step explanation:

12 x 10 x 3 = 360

8 x 11 x 2 = 176

once you get the final amounts you add them to gather which is 536.

Hope This Helped You :)

Answer:

0.85 pounds

Step-by-step explanation:

We start with a bag that weighs 4.75 pounds and want to find the weight of the pairs added to the bag.

Let x equal the weight of the pairs added to the bag.

We can write an equation containing 4.75 pounds and x, and solve for x to find this weight value.

We know that the final weight of the bag is 5.6 pounds, so we can substitute this value for y.

Subtract 4.75 from both sides of the equation.

The weight of the pairs added to the bag is 0.85 pounds.

Answer:

y = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

y = 4x - 10

x = 3

Step 2: Evaluate

Answer:

The simplified system is the arbitrary solution of the original system of equations

Step-by-step explanation:

Y=2 and x=3

Correct me if I’m wrong.

Hope this helps

Answer:

x=-36

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Since the sides are congruent that means the angles are congruent

When they are congruent you can equal them to each other

9x + 80 = 7x + 120

2x= 40

x=20

Answer:

Step-by-step explanation:

[tex]\text{To find :} \\ \\ 1.) \ \ \text{More than 20} \\ \\ 2) \text{Less than 30 } \\ \\ 3) \ \text{Within the range of }( \mu - \sigma , \mu +\sigma)[/tex]

[tex]\ \ \ Since \ \ X \ \text{follows a poisson distribution and;} \\ \\ X\sim Poisson (0.57) per \ gram \\ \\ X \sim Poisson (28.5) \ per \ 50 \ grams \\ \\[/tex]

[tex]1) \ \ \ \text{The probability } P(X>20) = \sum \limits ^{50}_{x=21} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{ = 0.9389}[/tex]

[tex]2) P( X<30) = \sum \limits ^{29}_{x=0} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{=0.5861}[/tex]

[tex]\text{3) Since then mean}\ \mu = 28.5 \\ \\ \sigma =\sqrt{28.5} = 5.339 \\ \\ \mu - \sigma = 28.5 -5.339= 23.161 \\ \\ \mu + \sigma = 28.5 + 5.339 = 33.839[/tex]

∴

[tex]P(23.161 < X< 33.839) = \sum \limits ^{33}_{24} \dfrac{e^{-28.5}\times 28.5^x}{x! } \\ \\ = P(X\le 33) - P( X \le 23) \\ \\ = 0.82678 - 0.1750 \\ \\ \mathbf{= 0.6516}[/tex]

Answer:

-80x+24

Step-by-step explanation:

Answer:

2πr/d

Step-by-step explanation:

Circumference = 2πr

Pi = circumference/diameter

=2πr/d

Answer:

[tex]sec\ x = \frac{25}{24}[/tex]

Step-by-step explanation:

Given

[tex]sin\ x = -\frac{7}{25}[/tex]

[tex]cot\ x = -\frac{24}{7}[/tex]

Required

Determine sec x

Sec x is calculated as:

[tex]sec\ x = \frac{1}{cos\ x}[/tex]

Multiply by sin x/sin x

[tex]sec\ x = \frac{1}{cos\ x} * \frac{sin\ x}{sin\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \frac{sin\ x}{cos\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \tan\ x[/tex]

[tex]tan\ x = \frac{1}{cot\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \frac{1}{cot\ x}[/tex]

The equation becomes:

[tex]sec\ x = \frac{1}{-7/25} * \frac{1}{-24/7}[/tex]

[tex]sec\ x = \frac{-25}{7} * \frac{-7}{24}[/tex]

[tex]sec\ x = \frac{25}{24}[/tex]

Answer:

5*10.88 + 5*11.87=113.75

120-113.75=6.25

$6.25

Step-by-step explanation: