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Softa [21]
3 years ago
13

2. What is the value of x in this diagram?

Mathematics
1 answer:
padilas [110]3 years ago
3 0
The answer is:  [B]:  " 15 " .
____________________________________________________
Explanation:
____________________________________________________
"112" and "(7x + 7)" are the measurements of 2 (TWO) vertical angles; 

and all vertical angles are equal;  so, to solve for "x" ; 

       7x + 7 = 112 ;

Subtract "7" from EACH SIDE of the equation:

             7x + 7 - 7 = 112 - 7 ;

to get:  

           7x  = 105  ;

Now, divide EACH SIDE of the equation by "7" ; to isolate "x" on one side of the equation; and to solve for "x" ;

           7x / 7 = 105 / 7 ;

to get:    x = 15 ;   which is:
___________________________________________

Answer choice:  [B]:  " 15 " .
___________________________________________
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Which equation has the same solution as this equation?
lesya [120]

Answer:

3rd Option is correct.

Step-by-step explanation:

Given Equation:

x² - 16x + 12 = 0

First We need to find solution of the given equation.

x² - 16x + 12 = 0

here, a = 1   , b = -16  &  c = 12

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16)\pm\sqrt{(-16)^2-4(12)}}{2}

x=\frac{16\pm\sqrt{256-48}}{2}

x=\frac{16\pm\sqrt{208}}{2}

x=\frac{16\pm4\sqrt{13}}{2}

x=8+2\sqrt{13}\:\:andx=8-2\sqrt{13}

Now,

Option 1).

( x - 8 )² = 144

x - 8 = ±√144

x - 8 = ±12

x = 8 + 12 = 20   and x = 8 - 12 = -4

Thus, This is not correct Option.

Option 2).

( x - 4 )² = 4

x - 4 = ±√4

x - 4 = ±2

x = 4 + 2 = 6   and x = 4 - 2 = 2

Thus, This is not correct Option.

Option 3).

( x - 8 )² = 52

x - 8 = ±√52

x - 8 = ±2√13

x  = 8 + 2√13   and x = 8 - 2√13

Thus, This is correct Option.

Option 4).

( x - 4 )² = 16

x - 4 = ±√116

x - 4 = ±4

x = 4 + 4 = 8  and x = 4 - 4 = 0

Thus, This is not correct Option.

Therefore, 3rd Option is correct.

8 0
3 years ago
5 roommates share the cost of an apartment: rent,electricity, and gas. rent costs 1800 and gas costs 150 per month. each roommat
Naddik [55]

Answer:

Electricity bill is 175

<em />

Step-by-step explanation:

Given

Rent = 1800

Gas = 150

Each\ Roommate = 425 monthly

Number\ of\ Roommate = 5

Required

Determine the electricity bill

If each roommate pays 425, then 5 roommates pay 5 * 425

Total = 5 * 425

Total = 2125

This implies that: the monthly cost of room, gas and electricity add up to 2125.

In other words,

Gas + Rent + Electricity = 2125

150 + 1800+ Electricity = 2125

1950+ Electricity = 2125

Electricity = 2125 - 1950

Electricity = 175

<em>Hence, the electricity bill is 175</em>

4 0
2 years ago
What is each expression written using each base only once? 8^8 · 8^4
valentina_108 [34]

im not sure i did it right but i tried 8 ^ 12


4 0
3 years ago
Factor the expression over the complex numbers. x2+36 Enter your answer in the box.
Zina [86]

hope this help Answer:( x - 3i√2)(x + 3i√2)

solve x² + 18 = 0

x² = - 18 ⇒ x = ±√- 18 = ±3i√2

factors are ( x - (3i√2))(x - (-3i√2))

x² + 18 = (x - 3i√2)(x + 3i√2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Fatheya purchased a prepaid phone card for $25. Long distance calls cost 12 cents a minute using this card. Fatheya used her car
Pachacha [2.7K]

Answer:

22 minutes

Step-by-step explanation:

First you take away the original amount away from the remaining amount.

$25 - $22.36 = $2.64

Then you take that number and divide it by the cents per minute.

$2.64 ÷ 12 = 0.22

Then that's your answer!

Her call lasted 22 minutes.

7 0
3 years ago
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