Answer:
Step-by-step explanation:
This is a cyclic quadralterial so opposite angles are supplementary.
The x variables add up to 180 so
The y variables add up to 180.
The greatest common factor is 36
Answer:
The slope is 5/2 and the y intercept is -1
Step-by-step explanation:
To find the slope and the y intercept, we will write the equation in slope intercept form, y =mx+b where m is the slope and b is the y intercept
5x -2y =2
Add 2y to each side
5x-2y+2y =2 +2y
5x = 2+2y
Subtract 2 from each side
5x-2 = 2y+2-2
5x-2 =2y
Divide each side by 2
5x/2 -2/2 = 2y/2
5/2x -1 = y
y = 5/2x -1
The slope is 5/2 and the y intercept is -1
The v equals = -1/2 is the answer you’ve been searching for
Answer:
Step-by-step explanation:
Given information: The perpendicular bisector of side AB of ∆ABC intersects the extension of side AC at D, m∠CBD = 16° and m∠ACB = 118°.
Let the measure of ∠ABC is x°.
In triangle ABD, DM is perpendicular bisector of AB.
In triangle ADM and BDM,
(Definition of perpendicular bisector)
(Definition of perpendicular bisector)
(Reflection property)
By SAS postulate,
(CPCTC)
According to angle sum property of a triangle, the sum of interior angles of triangle is 180°.
In triangle ABC
Subtract 134 from both sides.
Divide both sides by 2.
Therefore, the measure of ∠ABC is 23°.