Answer:
Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.
Step-by-step explanation:
The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.
[√(x + 8)]² = (x + 6)²
x + 8 = x² + 12x + 36
x² + 11x + 28 = 0
x² + 7x + 4x + 28 = 0
(x + 7)(x + 4) = 0
x = -7 and x = -4
The possible values of x are -7 and -4.
For more explanation, refer the following link:
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The Undefined term that is used to define an angle is a point.
<h2>Further Explanation: </h2><h3>Angle</h3>
- An angle is defined as the union of two rays with a common endpoint.
- The common end point is known as the vertex of the angle while the rays are known as the sides of the angle.
<h3>A ray </h3>
It is a part of a line with one end point and proceeds on in one direction.
<h3>Naming of angles</h3>
- Angles can be named in three different ways;
- Using three Capital letters such as ∠ PQR, or ∠BCD. The middle letter represents the vertex of the angle. Therefore, the angles above are read as "angle PQR" and angle BCD.
- Using the Vertex of the angle. For example, in the case of ∠PQR, can also be called angle Q, while ∠BCD can be called angle C.
- Angles can also be named by placing any number or symbol at the vertex in the interior of the angle. Such that angles can be called angle 1 or angle 3 , or angle 5, and so on.
- Angles are measured using a tool known as a protractor
<h3>Measuring of an angle using a protractor</h3>
- To measure the angle, the mid-point of a protractor is placed on the vertex of the angle.
- Then lining up one side of the angle with the zero line of the protractor.
- Then read the degrees where the other side crosses the number scale.
Keywords: Rays, angles, properties of angles, measurement of angles
<h3>Learn more about;</h3>
Level: Middle school
Subject: Geometry
Topic: Angles
Answer:
Step-by-step explanation:
SOH CAH TOA
Cos(Ф) =Adj / Hyp
26*Cos(45) = Adj
26*
= Adj
13
= Adj... and also it's the same for the other leg
sin and cos of 45° are the same
Answer: 7 9/20
Step-by-step explanation:
Add the two fractions together and In decimal form you will get 12.55. Simplify into fraction form and you get 7 9/20