The coordinate of the midpoint of line segment LT is determined as: -12.
<h3>How to Find the Coordinate of the Midpoint of a Line Segment?</h3>
The midpoint of a line segment is the point where the distance between the endpoints of the line segment are equidistant. The distance from that midpoint to each endpoint is the same.
Given the following:
- Coordinate of point L is: -35
- Coordinate of point T is: 11
Distance from point L to T = |-35 - 11| = 46 units.
Half of 46 units would be: 46/2 = 23 units.
This means that, both point L and point T are 23 units from the midpoint of segment LT.
Thus, the coordinate of the midpoint would be 23 units from -35 = -35 + 23 = -12
Or 23 units from the midpoint to point T = 11 - 23 = -12
Therefore, the coordinate of the midpoint of line segment LT is determined as: -12.
Learn more about the midpoint of a segment on:
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we can always find the x-intercept of any equation by simply setting y = 0, so let's do so
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Answer:
x=1
Explanation:
-3x+5=2 subtract 5 on both sides to get -3x=-3 divide -3 from -3 to get 1
Explanation:
1. ∠BAC≅∠BCA, ∠ABD≅∠ADB; Reason: definition of isosceles triangles
2. ∠ABD +∠BAC +∠ADB = 180°; Reason: sum of internal angles is 180°
3. ∠BAC = 180° -2(∠ABD) = 36°; Reason: Subtraction and substitution properties of equality
4. ∠BAC +∠BCA +∠ABC = 180°; Reason: sum of internal angles is 180°
5. ∠BCA = 180° -2(∠BAC) = 108°; Reason: Subtraction and substitution properties of equality
6. ∠ABD +∠DBC = ∠ABC; Reason: Angle sum theorem
7. ∠DBC = ∠ABC -∠ABD = 108° -72° = 36°; Reason: Subtraction and substitution properties of equality
8. ∠BCA = ∠BAC = 36°; Reason: Substitution property of congruence
9. ΔBCD is isosceles; Reason: Base angles DBC and BCA are congruent.
_____
There may be extra steps involved if you separately use subtraction and substitution properties of equality, or if you separately claim congruence of angles and equality of their measures. We have assumed that the definition of "isosceles triangle" includes the fact of equal side lengths <u>and</u> equal base angles.
Answer:
X-intercepts: (80,0)
y-intercepts: (0,200)
Step-by-step explanation:
(To find the x-intercept, substitut in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y. As shown in the pictur)
