Answer:
a) The length of segment AC is approximately 5.83 centimeters.
b) The angle ACD is approximately 34.5º.
Step-by-step explanation:
a) Since 
, the length of segment 
is determined by Pythagorean Theorem, that is:
The length of segment AC is approximately 5.831 centimeters.
b) Since 
, the length of segment 
is determined by this Pythagorean identity:
The angle ACD is determined by the following trigonometric expression:
The angle ACD is approximately 34.448º.
X is 7 more than y
x>y then
difference betwen squares is 161 so
x=7+y
and
x²-y²=161
so
x=7+y
sub that for x in other equation
(7+y)²-y²=161
y²+14y+49-y²=161
14y+49=161
minus 49 both sides
14y=112
divide both sides by 14
y=8
sub back
x=7+y
x=7+8
x=15
the numbers are 15 and 8
Okay, so YZ = 3 cm. You have XM correct. And YM = 0.5.
Now, you have the midpoint M at the correct spot.
Use Pythagorean's theorem o find the length of AB. a² + b² = c² a=6, b=8.
6² = 36 8² = 64 36 + 64 = 100 AB = 10!
If AB = 10 then AM = 5 MB also = 5
If B is the midpoint of AC, C would be 12 rows down from A, and 16 columns to the right. The last spot where the line intersects.
There are your answers!
Answer:
9.286
Step-by-step explanation:
I'm not guaranteeing this answer. If this is correctly written without any indication of how to deal with x, then here is as much as you can do.
850-53x m= 720-39x m Subtract 720 from both sides.
850 - 720 - 53x = 720 - 720 - 39xm Combine
- 53xm + 130 = - 39xm Add 53x
-53x+53xm + 130 = -39x + 53xm Combine
130 = 14xm Divide by 14
xm = 130/14
xm = 9.28
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You can use the same steps above. I'm abbreviating the steps because they are the same.
I'm sure there is more to the problem, but I can't imagine what it is. If you have additional directions, put it under this answer. I will get it as a comment.
850-53m= 720-39m
850 - 720 - 53m = - 39m
130 - 53m = - 39m
130 = -39m + 53m
130 = 14m
130/14 = m
m =9.286
