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
brainly.com/question/7620723
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Answer:
New can holds 
more than the old can
Step-by-step explanation:
Given: Diameter of the can is 6 cm and height is 12 cm such that volume of can is 
Dimensions of the can are increased by a multiple of 1.10
To find: Difference between the volume of new can and volume of old can
Solution:
Volume of can (v) =
Let r, h denote radius and height of the can.
Let R, H denotes radius and height of the new can.
r = diameter/2 = 
h = 12 cm
R = 
H = 
New volume (V) = 
So,
Be more specific with your question please
I'm assuming that they are perpendicular, but to be safe I'll say they are supplementary.
180 = 7x - 248 + x + 44
180 = 8x - 204
384 = 8x
/8 /8
48 = x
180 = 2y + 50 + 5y - 17
180 = 7y + 33
147 = 7y
/7 /7
21 = y
Therefore x = 48 and y = 21. If I made any errors please say so and don't report me :3
