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motikmotik
4 years ago
15

PLEASE HELP!!

Mathematics
2 answers:
s344n2d4d5 [400]4 years ago
5 0

In the figure, ∠4 is an exterior angle to AUL.

∠4 =  77°

∠4 = ∠1 +∠2

∠1 +∠2 = 52° +25° = 77°

Substitute the value that we alreay know to find ∠3.

⇒ 77° + ∠3 = 180°

⇒ ∠3 = 180° - 77° = 103°

∠4 is equal to the measures of two nonadjacent interior angles, the sum of angles is always 180° so ∠1 +∠2 + ∠3 = 180°. In summary ∠4=sum of the measures of the two nonadjacent interior angles.

Hope this helps, have a BLESSED AND WONDERFUL DAY! As well as a great Black History Month and Valentine's day! :-)

- Cutiepatutie ☺❀❤

valkas [14]4 years ago
4 0
A) Here, sum of two non-adjacent angles: 52 + 25 = 77
Now, ∠3 = 180 - 77   [ sum of all angles in a triangle is 180 ]
so, ∠3 = 103

Now, ∠3 + ∠4 = 180  [ Supplementary angles ]
So, ∠4 = 180 - ∠3
∠4 = 180 - 103 = 77
∠4 = 77 [ which is sum of two non-adjacent angles ]

....Hence proved.

b) m∠4 = 77 
[ Solved in previous section ]

Hope this helps!

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Look at the graph shown below:
ElenaW [278]
So.. take a peek at the picture... let's get two points from it, hmm say 0,4 notice it touches the y-axis there, and say hmmm -4, 1, almost at the bottom of the line

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 0}}\quad ,&{{ 4}})\quad 
%   (c,d)
&({{ -4}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-4}{-4-0}

\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=4\\
x_1=0\\
m=\boxed{?}
\end{cases}\\
\textit{and solve for "y"}
\end{array}\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}

once you get the slope and solve for "y", that'd be the equation of the line.
7 0
3 years ago
100% - 9/10<br> Pleeaaase help
Over [174]

Answer:

-0.8  or 991/10

(also it can be 10%)

Step-by-step explanation:

991            

 ——— = 99.10000  

 10              

Step by step solution :

Step  1  :

            9

Simplify   ——

           10

Equation at the end of step  1  :

         9

 100 -  ——

        10

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

           100     100 • 10

    100 =  ———  =  ————————

            1         10    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

100 • 10 - (9)     991

——————————————  =  ———

      10           10  

Final result :

 991            

 ——— = 99.10000  

 10              

4 0
3 years ago
Read 2 more answers
Julio is ordering books from BestBooks for his reading club. The table shows Julio's total cost of the book order, Including the
timama [110]

Answer:

Shipping Fee = $ 6

Step-by-step explanation:

The complete question and the table is as follows :

Given - Julio is ordering books from Best Books for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order. Best Books charges the same shipping fee for every book order.

To find - How much is the shipping fee?

Proof -

We know that,

Total Cost = (Number of books buy)(Cost of 1 book) + Shipping Fee

Let us Assume that,

Cost of 1 book = x

Shipping Fee = y

So,

From the table, we get

21 = 5x + y               ..........(1)

36 = 10x + y              ..........(2)

51 = 15x + y               ..........(3)

66 = 20x + y             ..........(4)

From equation (1), we get

y = 21 - 5x

Put the value of y in equation (2), we get

36 = 10x + 21 - 5x

⇒36 = 5x + 21

⇒5x = 36 - 21

⇒5x = 15

⇒x = \frac{15}{5} = 3

∴ we get

x = 3

Put the value of x , we get

y = 21 - 5(3)

  = 21 - 15

  = 6

⇒y = 6

SO, we get

x = 3

y = 6

Verify the 4 Equations :

21 = 5x + y               ..........(1)

21 = 5(3) + 6

    = 15 + 6

    = 21

⇒21 = 21

Verified

36 = 10x + y              ..........(2)

36 = 10(3) + 6

     = 30 + 6

     = 36

⇒36 = 36

Verified

51 = 15x + y               ..........(3)

51 = 15(3) + 6

    = 45 + 6

    = 51

⇒51 = 51

Verified

66 = 20x + y             ..........(4)

66 = 20(3) + 6

     = 60 + 6

     = 66

⇒66 = 66

Verified

So, we get

Cost of 1 book = x = $ 3

Shipping Fee = y = $ 6

7 0
3 years ago
amy is going to put 6 triangular tables together to make one large hexagon shaped table. what will be the area of the hexagon ta
tresset_1 [31]

Answer:

The area of the hexagonal table will be 27 square feet

Step-by-step explanation:

Given:

The height of the triangle = 3 feet

The base of the triangle = 3 feet

To Find:

The area of the hexagonal table = "

Solution:

<u>Step 1: Finding the area of the triangle</u>

The area of the triangle  =\frac{1}{2} \times base \times height

On substituting the values

The area of the triangle is =\frac{1}{2} \times 3 \times 3

The area of the triangle  = \frac{9}{2} square feet

<u>Step 2 : Finding the area of the hexagonal table </u>

The area of the hexagonal table is  =  6  X area of one triangle

The area of the hexagonal table  = 6 \times \frac{9}{2}

The area of the hexagonal table  = \frac{54}{2}

The area of the hexagonal table  = 27 square feet

3 0
3 years ago
Read 2 more answers
(5^3)^1<br> Find the value, and Write the answer without exponents
beks73 [17]

Answer:

125

Step-by-step explanation:

u do 5 to the power of 3 then to the power of 1. yw.

7 0
3 years ago
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