Answer:
146°
Step-by-step explanation:
Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m arch AB=64° and ⦣ABC=73°, m ⦣ABC=__ ° and m arch AC=__ °.
Solution:
Given that:
arc AB = 64° and ⦣ABC=73°
The Central Angle Theorem states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points. The inscribed angle is any point along the outer arc AB and the two points A and B.
Therefore arc AC is the central angle of ⦣ABC. Using the central angle theorem gives:
arc AC = 2 * ⦣ABC
substituting:
arc AC = 2 * 73
arc AC = 146°
<span>1. An income statement has income and expenses.
Income statement records all the finances of an individual or an organization for a certain period of time.
2. The three-legged stool represents retirement savings.
Retirement savings is the process of putting aside some finances as savings for later part of life.
3. A 401-K is a type of retirement account.
This is an account that is set up by the employer to put aside an amount from salary before the tax deductions.
4. The easily accessible part of an emergency fund is savings.
This saving comes fetching at the time of the hour when there is need for it.
5. Working a second job helps meet savings goals can help you pay off debts quicker and fills in gaps in a budget. So we can simply say that having an extra income is always useful</span>
Answer:
y = -5x/4 - 8
Step-by-step explanation:
Two lines that are perpendicular have slopes that are opposite reciprocals.
Since the slope of the given line is 4/5, the opposite reciprocal of that is -5/4. So the equation has a slope of -5/4.
Since we know the coordinate of a point of the other equation, we can plug that into the point-slope form equation y - y1 = m(x - x1):
y - 2 = -5/4(x-(-8))
Simplify:
y - 2 = -5/4(x+8)
y - 2 = -5x/4 - 10
So the equation in slope-intercept form is:
y = -5x/4 - 8