Angle ABC is an inscribed angle.
Inscribed angle = 1/2 * Intercepted Arc
The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204
m<ABC = 1/2(204)
m<ABC = 102 degrees
You answer is D) 102
Answer:
1) 60 and 30 degrees
2) 150 and 30 degrees
Step-by-step explanation:
(2+1)x=90
3x=90
x=30
2*30=60
1*30=30
The missing angles are 60 and 30 since they are in the 2:1 ratio
(5+1)x=180
6x=180
x=30
5*30=150
1*30=30
The missing angles are 150 and 30 since they are in the 5:1 ratio
Also, it's spelled angles not angels that's different.
To find the equation of the line, we are going to use the point-slope form, which is listed below:

is a point on the line
is the slope of the line
You may notice that we have a point, but no slope is given to us. However, the problem states that the line is parallel to the equation
, which means that it has the same slope as this line, which is 3. (Remember that this line is set up in
form, where
is the slope)
Thus, we can now insert our values into the point-slope formula to find the equation of our line.



The problem made it clear that it didn't want the form
, so let's put it in standard form:


The equation of our line is
.
1/4 because 3 parts of the circle are coloured but 1 part is not and 3+1=4. And that leftover as a fraction is 1/4
For this case we have that the variable "k" represents the floor area of Melanie's kitchen.
We have that the floor area of the room is 1.5 times the floor area of the kitchen, then, we propose the following function to find the floor area of the room:

Answer:
Option A and D