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Gnesinka [82]
3 years ago
5

Plz answer the question step by step​

Mathematics
1 answer:
Alenkinab [10]3 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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There are 5 exams in a semester. You have scored 77, 90, 85, and 100 on the previous four exams. What must you make on the fifth
siniylev [52]

Answer:

<h2>The correct answer for this question is 78.</h2>

Step-by-step explanation:

  • The average or mean of any variable or mathematical phenomenon is calculated as the division of the sum of all the numbers or items within the particular variable by the total number of items or numbers within the variable.
  • In this case, the marks of the 4 exams in the semester are 77,90,85 and 100 respectively.There are total 5 exams in the semester.
  • Let's suppose that the marks for the 5th exam is x.
  • Therefore, based on the mathematical formula to compute average or mean,to get an overall average of 86 including all the 5 exams, one has to get:-

   \frac{77+90+85+100+x}{5}=86

  77+90+85+100+x=430

  x=430-77-90-85-100

  x=78

  • Hence, based on the above calculations,one has has to get 78 on the 5th exam to obtain an overall average of exactly 86.

5 0
3 years ago
Can someone help meee please
hoa [83]

Answer:

Equation → 5y = 3y + 6

Value of ST = 15

Step-by-step explanation:

From the picture attached,

In right triangles ΔVST and ΔVUT,

Acute angles ∠SVT ≅ ∠UVT [Given]

TV ≅ TV [By reflexive property of congruence]

ΔVST ≅ ΔVUT [Hypotenuse angle congruence of right triangles]

Therefore, corresponding parts of the congruent triangles are congruent.

Therefore, ST ≅ TU

5y = 3y + 6

5y - 3y = 6

2y = 6

y = 3

Therefore, ST = 5y

ST = 5(3)

     = 15

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