Answer:
115.248
Step-by-step explanation:
120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]
120−96×[5 ÷ {23 − 3 × (-26)}]
120−96×[5 ÷ {101}]
120−96×[0.0495]
115.248
Just remember PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Based on the inscribed quadrilateral conjecture: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.
<h3>What is the Inscribed Quadrilateral Conjecture?</h3>
The inscribed quadrilateral conjecture states that the opposite angle of any inscribed quadrilateral are supplementary to each other. That is, they have a sum of 180 degrees.
From the diagram given, the opposite angles in the trapezoid, 115 + 65 = 180 degrees.
Therefore, we can conclude that: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.
Learn more about the inscribed quadrilateral conjecture on:
brainly.com/question/12238046
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Take 1/2 of x coeficient and square it
10/2=5
5^2=25
you has to add 25 to both sides to complete the square
(x+5)^2=25+37
The angles formed by the tosses are 79.45°, 59.02° and 41.53°
<u>Explanation:</u>
<u></u>
The three different tosses form a triangle with three different sides.
We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.
Let x°, y° and z° be the three angles of a triangle
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
We can now find another angle using the sine rule:
So the third angle would be
z = 180 - 79.45 - 59.02
z = 41.53°
Therefore, the three angles are 79.45°, 59.02° and 41.53°
Answer:
x = 0.25 or 
Step-by-step explanation:
2(2x + 3) - 2 = 5 (Given)
2 · 2x + 2 · 3 - 2 = 5 (Distributive Property of Equality)
4x + 6 - 2 = 5 (Simplify)
4x + 4 = 5 (Simplify)
4x + 4 - 4 = 5 - 4 (Subtraction Property of Equality)
4x = 1 (Simplify)
(Division Property of Equality)
x = 0.25 or (Simplify)
