Ignore the mess... I need help with #20 please and thank you
1 answer:
Because the triangle is isosceles, angle P and angle R are the same. Thus, your work would be:
. You then simplify this to 6x+4 + 196 - 8x = 180. Combine like terms, you get - 2x = - 20. x = 10.
Plug x = 10 back into the equation 98 - 4x to get 98 - 4(10) which becomes 98 - 40 = 58.
Angle P should be equal to 58 degrees.
To check your work add up the angles to see if they equal 180:
58 + 58 + 6(10) + 4 = 116 + 64 = 180.
Plug x = 10 back into the equation 98 - 4x to get 98 - 4(10) which becomes 98 - 40 = 58.
Angle P should be equal to 58 degrees.
To check your work add up the angles to see if they equal 180:
58 + 58 + 6(10) + 4 = 116 + 64 = 180.
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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
