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Gnesinka [82]
2 years ago
5

Plz answer the question step by step​

Mathematics
1 answer:
Alenkinab [10]2 years ago
5 0

Answer: <em>x = 59°, y = 114°.</em>

Step-by-step explanation:

<em>The sum of the opposite angles of a quadrilateral in a circle is 180°.</em>

<em>y = 180° - 121° = 59°</em>

<em>The two angles being adjacent makes a total angle of 180° on the straight line.</em>

<em>x = 180° - (180°-114°) = 180° - 66° = 114°</em>

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Mr Thompson please help with my new HW
sesenic [268]

Answers:

  1. C) x = plus/minus 11
  2. B) No real solutions
  3. C) Two solutions
  4. A) One solution
  5. The value <u>  18  </u> goes in the first blank. The value <u>  17  </u> goes in the second blank.

========================================================

Explanations:

  1. Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
  2. There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
  3. The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
  4. We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
  5. Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
3 0
3 years ago
Please help me in this question, pleaee
-Dominant- [34]

Answer:

They will meet in 5:30.

Step-by-step explanation:

'Cause you have to fin the LCM (least common multiple). And in this case the LCM is 30.

7 0
3 years ago
In the number 7,890,432, name the digit located in each of these positions.
alina1380 [7]
A=4 B=7 C=9 D=3 E=8 F=0
3 0
3 years ago
Read 2 more answers
Put these in order from Smallest- 5^2, 2^4, 3^3, 1^8
Marysya12 [62]
Your answer is alredy in order
4 0
3 years ago
Read 2 more answers
X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?
Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

x+y = 152\\8.5x+12y=1656

From equation 1:

x = 152-y

Putting the value of y in equation 2

8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0
2 years ago
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