*see attachment for the figure referred to
Answer/Step-by-step explanation:
1. PN = 29
MN = 13
PM = ?
(Segment addition postulate)
(subtract MN from each side)
(substitute)
2. PN = 34, MN = 19, PM = ?
(sediment addition postulate)
(subtract MN from each side)
(substitute)
3. PM = 19, MN = 23, PN = ?
(Segment addition postulate)
(substitute)
4. MN = 82, PN = 105, PM = ?
(segment addition postulate)
(subtract MN from each side)
(substitute)
5. PM = 100, MN = 100, PN = ?
(Segment addition postulate)
(substitute)
Answer:
Step-by-step explanation:
From the attachment, we can see that
<EBF = 33°
<EBD = 33°
<FED = 114°
<FBD = 66°
Part 2
The value of y is either of 70 or -80. But then, we all know that speed can not be negative, so the speed was 70 km/h
The return speed is y + 10 = 70 + 10 = 80 km/h
Total time = 350/70 + 350/(70+10)
Total time = 5 + 4.375
Total time = 9.375 hr
Answer:
Y = 23°
X = 28°
Step-by-step explanation:
[] First, we can tell that (5y - 4) + (3y) = 180 because the parallel lines allow for corresponding angles, and then they are supplementary;
(5y - 4)° + (3y)° = 180°
5y° - 4° + 3y° = 180°
8y° - 4° = 180°
8y° = 184°
y = 23°
[] Next, we can solve for (5y - 4) and use that number as a corresponding angle to solve for (2x + 13);
5y - 4
5(23) - 4
115 - 4 = 111
[] Last, we will solve for x using the same reasoning as how we solved for y;
111° + (2x + 13)° = 180°
111° + 2x° + 13° = 180°
111° + 2x° + 13° = 180°
124° + 2x° = 180°
2x = 56°
x = 28°
Answer:
(x+2) ^2 + (y-3)^2 = 25
Step-by-step explanation:
The equation of a circle is given by
(x-h) ^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x--2) ^2 + (y-3)^2 = 5^2
(x+2) ^2 + (y-3)^2 = 25
