Answer:
The measure of angle b is 55 degrees.
Step-by-step explanation:
First, recall the circle's theorem below.
<em>The angle between a tangent and a radius is a right angle.</em>
As a result, we have the diagram below.
Using the sum of angles in a triangle, we find the value of x above.
90+35+x=180
125+x=180
x=180-125
x=55
From another circle's theorem:
The measure of the angle of an arc is equal to the measure of the angle it subtends at the circle.
Therefore:
x=b=55
The measure of angle b is 55 degrees.
Answer:
False
sin (y) / cos (y) = cos (y)
cos (y) could be any value from -1 to 1.
Step-by-step explanation:
Answer:
28 miles
Step-by-step explanation:
Let w stand for the number of miles Derrick runs each week. Then after 4 weeks of training, he wants the total mileage to be 100 miles.
16 + 3w = 100
3w = 84 . . . . . . . subtract 16
w = 28 . . . . . . . . divide by 3
Derrick will run 28 miles each week to achieve his training goal.
Answer:
Step-by-step explanation:
You put this in the wrong place, but I'll answer it anyway.
Let's see what we can get out of it.
1. It allowed western expansion.
2. It gave the United States a southern route to enhance trade.
3. It brought America closer to the slave trade which the southern states needed at the time. I don't like posting this answer, but it is a historical fact.
4. It made things a little difficult for the Spanish who had the ports in Louisiana.
5. It made the land route to the west coast a little easier to do. Not much but some.
6. Considering the cost of the land and how it was later developed, the price paid was a steal.
Perpendicular lines have slopes that are the negative reciprocals of each others slopes. this means that you can:
1. write the slope as a fraction (if not already one),
2. flip the fraction over
3. multiply the fraction by - 1
4. And you have perpendicular lines slope.
so the slope of this line is - 1 so:
1. - 1 = - 1/1 convert to fraction
2. - 1/1 = - 1/1 flip but this case stays same
3. - 1/1 * - 1 = 1 multiply by - 1
4. slope is 1
we have slope and point so we can plug into equation:
y = mx + b
with m as slope and b is y intercept.
plug values:
4 = 1 * (- 2) + b
6 = b
so y intercept would be (0,6)