Answer:
A
Step-by-step explanation:
The measure of the angle ∠ABD is 64 degrees
<h3>How to determine the measure of the angle?</h3>
From the question, we have the following parameters:
Ray BA bisects ∠CBD
∠CBD = 5x + 18
∠ABC = 3x - 2
Because of the bisection, we have
∠ABC = ∠ABD
∠ABC * 2 = ∠CBD
Substitute the known values in the above equation, so, we have the following representation
(3x - 2) * 2 = 5x + 18
Open the brackets
6x - 4 = 5x + 18
Evaluate the like terms
x = 2
Recall that
∠ABC = ∠ABD
So, we have
∠ABD = 3x - 2
This gives
∠ABD = 3 x 22 - 2
Evaluate
∠ABD = 64
Hence, the angle is 64 degrees
Read more about angles at
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Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (2,-1) and (4,5),
y2 = 5
y1 = - 1
x2 = 4
x1 = 2
Slope,m = (5 - - 1)/(4 - 2) = 6/2 = 3
To determine the intercept, we would substitute x = 4, y = 5 and m= 3 into y = mx + c. It becomes
5 = 3 × 4 + c
c = 5 - 12 = - 7
The equation becomes
y = 3x - 7
11/12 i believe that is the answer
Answer:
What do you mean DUO?
Step-by-step explanation:
