Answer:
The angles are: 25°, 25°, 155° and 155°.
Step-by-step explanation:
1. By definition, the intersection of two lines forms four angles. Each opposite pairs of them are known as "Vertical angles" and they are congruent, which means than they have the same measure.
2. The sum of the four angles is 360°.
3. If the sum of the two angles is 50°, you can calculate the measure of each one of them by dividing 50° by 2:
4. To find each measure of the other two angles, you must subtract 360° and 50° and divide this by 2:
Answer:
AB = 7
AC = 21
Step-by-step explanation:
Because AD is an angle bisector it divides the triangle into proportional parts. That is ...
AC/DC = AB/BD
(28 -AB)/9 = AB/3 . . . . use AC = 28 -AB
28 -AB = 3AB . . . . . . . . multiply by 9
28 = 4AB . . . . . . . . add AB
AB = 28/4 = 7 . . . . divide by 4
AC = 28 -7 = 21
The lengths AB and AC are 7 and 21, respectively.
_____
<em>Additional comment</em>
The triangle ABC cannot exist. The reason is that its side measures are 7, 12, and 21. The sum of 7 and 12 is not greater than 21, so <em>the side measures do not satisfy the triangle inequality</em>.
For the triangle to exist, the sum of AB and AC cannot exceed 24 for the given values of BD and DC.
Answer:
6) B
7) a - x intercept = 2 y intercept = -5
b - positive slope
c - y = 2.5x -5
A1 is when i = 3. i.e. 2(3) + 3 = 6 + 3 = 9
an is when i = 10. i.e. 2(10) + 3 = 20 + 3 = 23
n = count from 3 to 10 = 8
Therefore, sum = 8/2(9 + 23) = 4(32) = 128
Answer:
a. 2016-112x
Step-by-step explanation:
because each month he need to pay $112 so it have to be multiplied to the number of month and then answer should be subtracted from 2016
