Answer:
Step-by-step explanation:
first solve for y=mx+ b format
y-3= 1/2(x+2)
y-3= 1/2x+1
y= 1/2x+4
slope is 1/2; y-intercept is 4
Answer:
72 degrees.
Step-by-step explanation:
If the angle is x degrees its complement is 90-x degrees and it's supplement is 180-x degrees.
4(90-x) = 2/3(180 - x)
360 - 4x = 120 - 2/3 x
360 - 120 = -2/3 x + 4x
240 = -2/3 + 12/3 x
240 = 10/3 x
x = 240 * 3/10
x = 72 degrees.
The way Maria calculates the final price of the book is correct. We know that the book normally sells for $26.50 plus a 10% sales tax. We also know that the students will receive an additional 25% discount. We must understand that the sales tax is applied to the discounted price. So first we will calculate 25% of 26.50 and subtract it from that amount. So the price will then be: (26.50 - 6.625). The price is now $18.34. Then to calculate the tax, it will be (10% * 18.34), so 1.834. We add this amount to the discounted price so: (18.34+1.834) = 20.12.
The final price of the book is $20.12 and Maria can get it and still save a little money
9514 1404 393
Answer:
8
Step-by-step explanation:
The product of segment lengths to the near and far circle intersection points is the same for both "secants". AD is a tangent, so the two intersection points are the same point. This gives ...
AD² = AB·AC
144 = AB(AB +10)
We can add 25 to complete the square.
169 = (AB +5)² . . . write as a square
13 = AB +5 . . . . . . positive square root
8 = AB . . . . . . . . . .subtract 5
Answer:
x = 21°
Step-by-step explanation:
Triangle = 180°
Angle YXZ = 34°
Angle XZY = (x + 104)°
Angle x = ?
34° + x° + 104° + x° = 180°
138° + 2x° = 180°
2x° = 180° - 138°
2x/2 = 42/2
x = 21°
