Answer:
90.5 degrees
Step-by-step explanation:
The sum of the angle in triangle XYZ is 180 degrees, hence;
m<XYZ + m<YXZ + <XZY = 180
Substitute the given angles
75 + 14.5 + <XZY = 180
89.5+m<XZY = 180
m<XZY = 180 - 89.5
m<XZY = 90.5 degrees
Hence the measure of angle XZY in degrees is 90.5 degrees
Answer:
n = 15
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 3*(n-6)-(27)=0
Pull out like factors : 3n - 45 = 3 • (n - 15)
Then: 3 • (n - 15) = 0
It's pretty easy from there, good luck!
Answer:
Irrational numbers are not closed under addition.
Step-by-step explanation:
Irrational numbers are the numbers that cannot be expressed in the form of a fraction
. In other words we can say that irrational number,s decimal expantion does not cease to end.
The closure property of addition in irrational numbers say that sum of two irrational number is always a rational number, But this is not true. It is not necessary that the sum is always irrational some time it may be rational.
This can be understood with the help of an example:
let (2+√2) and (-√2) be two irrational number. Their sum is (2+√2)+(-√2) = 2, which is clearly a rational number.
Hence, irrational numbers are not closed under addition.
Answer:
x=21
Step-by-step explanation:
100+3x+x-4=180
100+4x-4=180
96+4x=180
4x=180-96
4x=84
x=21
Answer:
see explanation
Step-by-step explanation:
(1)
=
( cross- multiply )
6p = 8 ( divide both sides by 6 )
p =
= 
(2)
=
( cross- multiply )
7n = 32 ( divide both sides by 7 )
n = 
(3)
=
( cross- multiply )
3x = 20 ( divide both sides by 3 )
x = 