PLEASE HELP!
2 answers:
Answer:
A= 16
Step-by-step explanation:
In the given figure , there are two triangles.
Side length and height of the triangle is the radius of the circle
Side length of the triangle = 4
height of the triangle = 4
Area of the triangle =
=
Area of another triangle = 8
Combined area of the triangle = 8+8 = 16
A= 16
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Answer:
<h2>m∠2 = m∠1</h2><h2>m∠1 = 75°</h2>Step-by-step explanation:
Look at the picture.
Vertical angles, corresponding angles, alternate exterior angles are congruent.
Supplementary angles add up to 180°.
Answer: By the slope formula.
Step-by-step explanation:
Given: ABC is a triangle (shown below),
In which A≡(6,8), B≡(2,2) and C≡(8,4)
And, D and E are the mid points of the line segments AB and BC respectively.
Prove: DE║AC and DE = AC/2
Proof:
Since, And, D and E are the mid points of the line segments AB and BC respectively.
Therefore, By mid point theorem,
coordinate of D are
Coordinate of E are
By the distance formula,
By the slope formula,
Slope of AC =
Slope of DE =
Statement Reason
1. The coordinate of D are (4,5) and 1. By the midpoint formula
the coordinate of E are (5,3)
2. The length of DE = √5 2. By the Distance formula
The length AC = 2√5 ⇒ Segment DE
is half the length of segment AC
3. The slope of DE = -2 and the 3. By the slope formula
slope of AC = -2
4. DE║AC 4. Slopes of parallel lines are equal
