Answer:
m = 116
x = 24
y = 76
z = 40
Step-by-step explanation:
For startes the interior angles of triangles always add up to 180 degrees.
That means....
73 + 83 + x = 180
z + m + x = 180
z + y + 64 = 180
Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.
So m + 64 = 180
Let's start with 73 + 83 + x = 180
If you add 73 and 83 you get 156
x + 156 = 180 then subtract 156 from both sides and
x = 24
Then use m + 64 = 180 subtract 64 from both sides and
m = 116
z + m + x = 180 become
z + 116 + 24 = 180
Add 116 and 24 and you get 140
z + 140 = 180 subtract 140 from both sides and
z = 40
Check to make sure m + x + z = 180
24 + 40 + 116 = 180
z + y + 64 = 180 becomes
y + 40 + 64 = 180
40 + 64 = 104 so
y + 104 = 180 subtract 104 from both sides and
y = 76
Congratulations you have found all of the angles!
Solving for Y:
1) Subtract -2x from both sides: -3y=15-2x
2) Divide by -3 on both sides: y=-5+(2/3)x
Final Answer: y = (2/3)x-5
Answer:
225 hours.
Step-by-step explanation:
45 x = 225
Answer:
okay so you would make a line straight across the middle of the spherical shape. The line that goes all the way across is the diameter. If you were to cut that line in half that would be the radius.
Step-by-step explanation:
The first circle shown in the picture provided would be an example of diameter, and the second circle would be an example of the radius. You could just make up a value, for example say the diameter is 10, the radius would be 5.
Answer:
48 sweets
Step-by-step explanation:
5:2:4
Sarah: 5
Natasha:2
Richard:4
To find out how many sweets Richard got, we need to use 60 as the lcm. Since, we have a definite constant of 60 we need to divide it by the presiding ratio.
60/5 = 12
That means for a ratio of 1, everyone in the group recieves 12.
Now, we plug it in for each of the members.
5x = Sarah
2x = Natasha
4x = Richard
Sarah = 60 sweets
Natasha = 24 sweets
Richard = 48 sweets
