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swat32
3 years ago
15

Can anyone show me the steps in order solve this problem

Mathematics
1 answer:
STatiana [176]3 years ago
8 0
M∠A = 42°   [isosceles triangle]

m∠B = 180 - 42 - 42 = 96°  [in a triangle, the three interior angles always add to 180°]

m∠C = 180 - 96 - (x+12)
m∠C = 84 - x - 12
m∠C = 72 - x

2x+9 + 3x-1 + 72-x = 180
4x + 80 = 180
4x = 180 - 80
4x = 100
x = 100/4
x = 25

m∠C = 72 - x = 72 - 25 = 47°

<span>I hope this helped</span>

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An element with mass 780 grams decays by 16.3% per minute. How much of the element is remaining after 16 minutes, to the nearest
rjkz [21]

Answer:

45.3 grams will be left

Step-by-step explanation:

Use the formula

A = P(1 - r)^t     where A is the final amount, P is the initial amount, r is the percent change as a decimal, and t is the amount of time

Plug in what we know, we are given P = 780, r = 0.163, and t = 16

A = 780(1 - 0.163)^16

Now simplify...

A = 780(0.837)^16

        A = 45.25868493  

 

                  A = 45.3

5 0
3 years ago
the area of a triangle is 22in square, and its base is 2, what is the length of its height? Show work please
Free_Kalibri [48]
A = 1/2bh
22 = 1/2(2)(h)
22 = h

Hope this helps :)
6 0
3 years ago
Please help me<br> Expressions
11111nata11111 [884]
1a= (2x+5)+3x+15

1b= (2(4)+5)+3(4)+15=40

2a= (3x+5)•(4x-3)

2b= (3(2)+5)•(4(2)-3)=55

2c= 2(x) or 2(2)


How I got 2c is the perimeter of the rectangle LMNP subtract from (2(2)+9)+(2(2)+9)=26 which in return means you subtract 30 from 26 and get 4 which is 2(2) or 2x
6 0
3 years ago
|3x|=9, solve absolute value equation
Mashutka [201]
|3x|=9

3x=9 -3x=9
X=9/3 x=9/-3
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Whenever you have an absolute value sign you have to find both the positive and the negative because they didnt signs into the equation but sometimes a question will ask for strictly the positive value or the negative value but if its not stated, find both.
4 0
4 years ago
Describe the graph of the functions y=|x+2|
inn [45]

To obtain the graph of the function y = |x+2| we have to make a table of values of x to find the values of y. The absolute value or modulus of a real number is its numerical value without care its sign. For example, the absolute value of |4| and |-4| is 4.

In order to make a graph we are going to use the values (-3, -2, -1, 0, 1, 2, 3) for x.

x = -3

y = |-3 + 2| = |-1| = 1

x = -2

y = |-2 + 2| = |0| = 0

x = -1

y = |-1 + 2| = |1| = 1

x = 0

y = |0 + 2| = |2| = 2

x = 1

y = |1 + 2| = |3| = 3

x = 2

y = |2 + 2| = |4| = 4

x = 3

y = |3 + 2| = |5| = 5

<u>  x   ║   y</u>

-3        1

-2        0

-1         1

 0        2

 1         3

 2        4

 3        5

Obtaining the graph shown in the image attached.

.

7 0
3 years ago
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