X² + y² - 4 x + 2 y = b
x² - 4 x + 4 + y² + 2 y + 1 = b + 4 + 1
( x - 2 )² + ( y + 1 )² = b + 5
y - coordinate of the center of the circle is: y = - 1
b + 5 = r
b + 5 = 7
b = 7 - 5
b = 2
Answer: m<1= 90
m<2= 42
m<3= 42
m<4= 48
m<5= 48
Step-by-step explanation: Reasoning= 8th grade nerd
Just kidding, the diagonals bisect the angles(vertices) and opposite angles are congruent thanks to nasty proofs, which means <4=<5. The same goes with angle 2 and 3. The sum of interior angles of a rhombus is 360 degrees. So, 48 times 4, is 192, and 360-192 is 168. 168 divided by 4 is 42. There's your messy explanation. You(the person asking) probably turned this in already but to those who are searching for this answer days, weeks, months, even years ahead, good luck. Geometry is kinda rough but you'll (might) get the hang of it if you pay enough attention.
.87 is correct you can always check your work with an online calculator. :)
Y=2x+-3 because m= slope and slope=2 and b=y-intercept and the line touches the y-intercept at -3
