What is the greatest common factor of 48, 112, and 80

The angles ABM and MBC sum to the measure of angle ABC. Let's create an equation to model the problem.

ABM + MBC = ABC

Let's plug our values into the variables.

ABM + 150 = 171

Let's solve for ABM. Subtract 150 from both sides.

ABM = 21

Answer:

∠ ABM = 21°

Step-by-step explanation:

∠ ABM + ∠ MBC = ∠ ABC , that is

∠ ABM + 150° = 171° ( subtract 150° from both sides )

∠ ABM = 21°

Answer:  x = 0; y = 2; z = 5

Step-by-step explanation:

x+2y+z=9

x-y+3z=13

2z=10

==

Start with the last equation:  2z = 10, therefore z = 5 [easy]

Let's rewrite the second equation with 1) z=5, and 2) rearrange to find x:

x-y+3z = 13

x - y +3*5 = 13

x = y-2

Now use the values for x [(y-2)] and y [5] in the first equation:

X+2y+z=9

(y-2) +2y + 5 = 9

3y +3 = 9

3y = 6

y = 2

Now that we have y [2] and z [5], let's use the first equation to solve for x:

x+2y+z=9

x + 4 + 5 = 9

x + 9 = 9

x = 0

====

Try the three values (x=0, y=2, and z=5) in any of the formulas.  The result should/will equal the number shown.

Answer:

C = (1, 14 )

Step-by-step explanation:

The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.

Find the average of endpoints and equate to coordinates of midpoint

A (5, - 2 ) , let C = (x, y ) , then

[tex]\frac{x+5}{2}[/tex] = 3 ( multiply both sides by 2 )

x + 5 = 6 ( subtract 5 from both sides )

x = 1

and

[tex]\frac{y-2}{2}[/tex] = 6 ( multiply both sides by 2 )

y - 2 = 12 ( add 2 to both sides )

y = 14

Coordinates of C = (1, 14 )

Answer:

he quotient has a remainder of 4.

The quotient has a remainder of 14.

The quotient has no remainder.

The quotient has a remainder of 12.Step-by-step explanation:

Answer:

x-int=0.5 & y-int=3.4 you option are wrong

Answer:

10.2ft

Step-by-step explanation:

2^2 +10^2=√104

=10.198

~10.2

Answer:

[tex]$x=\frac{-1}{5},[/tex]

[tex]y=\frac{2}{5},[/tex]

[tex]z=3$[/tex]

Step-by-step explanation:

Given system of equations in the form of the matrix shown below,

[tex]$A=\left[\begin{array}{ccc}1 & -2 & 0 \\ 1 & 3 & 5 \\ 1 & -1 & -1\end{array}\right] \quad B=\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{ccc}1 & -2 & 0 \\ 1 & 3 & 5 \\ 1 & -1 & -1\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{ccc}2 & -6 & -4 \\ -2 & -1 & 1 \\ -10 & 5 & 5\end{array}\right]\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{c}8+6-12 \\ -8+1+3 \\ -40-5+15\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{c}2 \\ -4 \\ -30\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{l}\frac{2}{-10} \\ \frac{-4}{-10} \\ \frac{-30}{-10}\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}-1 / 5 \\ 2 / 5 \\ 3\end{array}\right]$[/tex]

Learn more about matrix refer:

Answer:

your answer is (B) -2 & -3

[tex] \mathfrak{Solution : }[/tex]

The sum of two complementary angles is 90° , so

1st angle :

2nd angle :

The expression (-7)·(-7)·5·5·5·5 can be written using exponents as: [tex](-7)^2 * 5^4[/tex].This is because (-7)·(-7) is equal to [tex](-7)^2[/tex], and 5·5·5·5 is equal to [tex]5^4[/tex].Writing expressions using exponents is a way to represent repeated multiplication in a more concise form.

Exponents indicate how many times a base number is multiplied by itself. Here's how you can write expressions using exponents:

Base: This is the number that you're going to multiply repeatedly.

Exponent: This is the small number written above and to the right of the base. It represents how many times the base is multiplied by itself.

Some key points to remember:

Multiplication with the same base: When you have the same base number multiplied multiple times, you can use an exponent to represent it more compactly.

Negative Exponents: Negative exponents indicate that the base is in the denominator. For example, x^-3 is equivalent to 1/x^3.

Fractional Exponents: Fractional exponents indicate roots. For example, x^(1/2) is the square root of x.

Operations with Exponents: When you have expressions with exponents and you're performing operations like addition, subtraction, multiplication, or division, you need to follow the rules of exponentiation.

To know more about exponents:

https://brainly.com/question/5497425

#SPJ3

Answer:

30cm

Step-by-step explanation:

15 x 2 = 30

Since it's half of a circle 15 is half of the full term.

Half and a half equal a whole, to calculate the area of the semi-circle, you would want to multiply by 2.

Answer:

Step-by-step explanation:

40 : 5.4 = 7.4

Answer:

Answer:

Step-by-step explanation:

a^6 = a * a * a * a * a * a You can break this into groups of 2 and groups of three.

Groups of 3

a^6 = a * a * a * a * a * a

what that means is that you have 2 groups of 3 which can be written as (a^3)^2 which means that this number is a perfect square.

Groups of 2

a^6 = a * a * a * a * a * a

What this means is that you have (a^2)^3 which is three groups of 2 members. The answer is that you have a perfect cube each member of which is a^2

The stationary or turning points on a graph are known as its extrema

Taking each axis division as representing one unit, we have;

The global extrema are; (-2, -4) and (2, -4)

The local extrema is the point (0, 4)

The reason the above values are correct is as follows;

The extrema is the plural form of the calculus term extremum for the point on the graph of the function where the value of the function is the maximum or largest value or the minimum or the smallest value

At the extremum, the value of the function stops increasing or decreasing and starts decreasing or increasing after the extremum respectively

From the given graph, we have that the global extrema where there are minimum values are;

x = -2, and y = -4, which gives the point (-2, -4)

x = 2, and y = -4, which gives the point (2, -4)

Therefore, the global extrema are; (-2, -4) and (2, -4)

The local extremum is the point x = 0, and y = 4 or (0, 4)

Learn more about extrema here:

https://brainly.com/question/24219778

https://brainly.com/question/17330794

Answer: 40%

Step-by-step explanation:

Chocolate chip and oatmeal cookies: 9+35 = 44

Total cookies = 9+21+15+35+30 = 110

What percent is 44 of 110 (%/100 = is/of)

x/100 = 44/110 (cross multiplication)

4400/110 = 40

Step-by-step explanation:

(8.11×107)–(4.3×107)

According to the concept of BODMAS,

At first we should solve the trems in the bracket,

867.77-460.1

Now, we should subtract them,

407.67

Answer:

the answer is 320

Step-by-step explanation:

144 divided by 0.45 equals 320

and for checking my answer 320 times 0.45 equals 144

so 320 is your answer i hope this helps

Answer:

here is my working out to find answer, if u feel that the answer is wrong then do the reverse calculation by putting n value to the equation. hope u understood and stay safe!

Answer: 73/9

Step-by-step explanation:

8+1/9 --> 8x9/9+1/9

8x9/9+1/9

8x9+1/9

73/9

Have a great day :DD

Answer:

[tex]\frac{73}{9}[/tex]

Step-by-step explanation:

To change to an improper fraction

Multiply the whole number part and the denominator of the fraction

Then add the numerator

The denominator remains as 9 , that is

8 [tex]\frac{1}{9}[/tex] = [tex]\frac{8(9)+1}{9}[/tex] = [tex]\frac{72+1}{9}[/tex] = [tex]\frac{73}{9}[/tex]

Step-by-step explanation:

Time taken to travel 20 m = 1 min

Time taken to travel 360m = x min

Answer:

15 dollars is the answer

Answer:

[tex]w - 5 \geqslant 19 \\ thank \: yo[/tex]

[tex]w - 5 \geqslant 19[/tex]

Answer:

(a) Domain is [tex](-\infty,+\infty)[/tex] (b) Range is [tex](-\infty,+1][/tex] (c) x intercepts  -1 and +1 (d) y-intercept is +1

(e)

[tex]F(-2)=-2\\F(2)=-2[/tex]

Step-by-step explanation:

(a) The function's domain:

From the given graph, it is clear that the value of function exist in the interval from [tex](-\infty,+\infty)[/tex].

Therefore, the domain of the function is [tex](-\infty,+\infty)[/tex].

(b) The function's range:

Clearly from the graph that is given in the question, the highest value of y coordinate is +1 and its lowest value is [tex]-\infty[/tex].

Hence, the range of the function is [tex](-\infty,+1][/tex]

(c) The x-intercepts:

The curve intersects the x-axis at -1 and +1, therefore the intercepts of the curve is -1 and +1.

(d) The y-intercept:

The curve intersect the y-axis at y=1, therefore y-intercept is +1.

(e) Missing Values:

Clearly from graph:

[tex]F(-2)=-2\\F(2)=-2[/tex]

To know more about it, please refer to the links:

Hey, wanna pair our account on Brainly so we can share the perks? https://brainly.com/invite/f79a5c1f6e65fb5b41d0f190420ef01b?utm_source=invite&utm_medium=link&utm_campaign=bfp_qpage_box&utm_term=parent

Utilizing the graph, it is found that:

a) The domain of the function is all real values.

b) The range is given by: [tex](-\infty, 1][/tex]

c) The x-intercepts are [tex]x = \pm 1[/tex]

d) The y-intercept is [tex]y = 1[/tex]

e) [tex]F(-2) = F(2) = -3[/tex]

-----------------------

Item a:

-----------------------

Item b:

-----------------------

Item c:

-----------------------

Item d:

-----------------------

Item e:

A similar problem is given at https://brainly.com/question/10891721

Answer:-2 3/8

Step-by-step explanation:took test got thirty for yall sake

Answer:

3 * (8/4) = 6

each person needs 8 cookies at 4 per box

you need 8/4 boxes per friend

you have three friends so 3 * (8/4)  

Step-by-step explanation: