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sertanlavr [38]
3 years ago
12

A pentagon has angles that measure 147.1 degrees , 81.5 degrees , 119 degrees , 59.2 degrees and v. WHAT IS V

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

9514 1404 393

Answer:

  v = 133.2°

Step-by-step explanation:

The sum of the interior angles of a pentagon is 540°. The unknown angle is ...

  v = 540° -147.1° -81.5° -119° -59.2°

  v = 133.2°

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Write an equation to represent 'twice a number (x) is fifty"​
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Hi there,

Your question is "twice a number (x) is fifty"

Recall how a number is represented by x.

Twice a number would be represented as 2x.

Therefore, to represent that twice a number is equal to 50, that would result in the expression: 2x=50

If you're looking to solve this equation, it's often best to think about the "reverse" of the current equation.

Notice how 2 is multiplying the x.

To isolate x, divide that side by 2.

However, recall that whatever is done to one side of an equation must also be done to the other side of the equation. Therefore, you will need to divide both sides by 2.

2x=50

\frac{2x}{2} = \frac{50}{2}

x=25

Equation: 2x=50

Solving for x: 25

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Answer:


Step-by-step explanation:

It is given that the quadrilateral ABCD has AB ≅ CD and BC ≅ DA is a parallelogram, then in order to prove opposite angles of the parallelogram are equal, we take ΔABC and ΔADC,

AC=AC(Common)

AB=CD(given)

BC=AD(given)

Thus, by SSS rule, ΔABC ≅ ΔADC

By CPCT, ∠B=∠C

Also, from ΔABD and ΔBCD, we have

AB=CD(given)

BC=AD(given)

BD=BD(common)

Thus, by SSS rule, ΔABD ≅ ΔBCD

By CPCT, ∠A=∠C

Since, opposite angles are equal,therefore ABCD is a parallelogram.

Draw in diagonals AC and BD. The given information and the shared side AC along with the Reflexive Property can be used to prove ΔABC ≅ ΔADC by the SSS Congruence Postulate. Using CPCTC, ∠B=∠C.The same can be done for ΔABD ≅ ΔBCD using the given information and the shared side BD. This will lead to ∠A=∠C. Therefore, ABCD is a parallelogram because opposite angles are congruent.

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