in the figure below, point B is on line segment DC. If AB = BC, what is the measure of angle ABE? FREE BRAINlIEST FOR THE FIRST
PERSON TO ANSWER! Very desperate!
2 answers:
Answer:
(A) 20°
Step-by-step explanation:
The relations between angles in a triangle and along a line can be used to find the measure of angle ABE.
<h3>Triangle angles</h3>The congruence AB = BC tells you that ΔABC is isosceles, and that ∠C = ∠A = 30°. The sum of angles in a triangle is 180°, so the measure of angle ABC is ...
∠ABC = 180° -30° -30° = 120°
<h3>Angles on a line</h3>The sum of angles along a line is 180°, so we have ...
∠DBE +∠EBA +∠ABC = 180°
4x +2x +120° = 180°
6x = 60° . . . . . . . . . . subtract 120°, collect terms
2x = 20° . . . . . . . divide by 3
The measure of angle ABE is 20°.
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The figure is drawn to scale in the attachment.
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Answer:
The distance between house to work is 13 miles .
Step-by-step explanation:
Given as :
The distance that man travel to north = OA = 5 miles
Now, From north ,man turn right and travel to east
So, The distance that man travel to east = AB = 12 miles
Let The distance between house to work = x miles
So, x miles is the displacement from north to east direction
i.e x =
Or, x =
Or, x =
∴ x = 13
So, The distance between house to work = x = 13 miles
Hence, The distance between house to work is 13 miles . Answer
Answer:
Step-by-step explanation:
Plot the vertices of the rectangle on a coordinate plane (Observe the figure attached where the rectangle is identified as ABCD).
The area of a rectangle can be calculated with this formula:
Where "l" is the lenght and "w" is the width.
In order to find the lenght and the width, you can use the formula for calculate the distance between two points:
Knowing the coordinates of the vertices, you get:
Therefore, substituting values into the formula , you get that the area of the rectangle is:
