Answer:the first one goes in the both category, the second one goes in the neither category, the third one goes in the x-intercept category and the last one goes in the y-intercept category
Step-by-step explanation:
Answer:
132
Total Area = Area of top rectangle+Area of trapezoid w/ bases 7 and 19
= base*height+(average of bases)(height of trapezoid)
= 7*4+8*(7+19)/2
= 28+104
= 132
What you're looking at in this image are two alternate exterior angles.
Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.
There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.
So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:
5x + 20 = 3x + 60
<u>Subtract 20 from both sides:</u>
5x + 20 - 20 = 3x + 60 - 20
5x = 3x + 40
<u>Subtract 3x from both sides:</u>
5x - 3x = 3x - 3x + 40
2x = 40
x = 20
If you have any questions on how I got to the answer, just ask!
- breezyツ
Answer:
The required equation in standard form is 
Step-by-step explanation:
The equation of a circle with center (h,k) an radius, r units is given by the formula;
The given circle has center (4,5) and the radius can be calculated from the given circumference, which is 
We substitute these values into the formula to obtain;
We simplify to get;
