The meaning of vertical angles are two congruent angles formed by the intersection of two straight lines.
On this question is given that angles one and two are vertical, and the measure of one of them or angle two is 31 degrees.
As said before vertical angles are congruent, or have the same measurement.
Meaning that angle one is equal to 31 degrees.
Answer:
321 R 3
Step-by-step explanation:
the quotient is 321 with a remainder of 3
you can check your work by doing 321 * 24 + 3 = 7,707
Answer:
The value of x nearest to thousandths is, 74.207
Step-by-step explanation:
Solve : 
represents the logarithmic function with base e.
Using logarithmic properties:
, then 
Apply the logarithmic properties; we have
then;
or
Divide both sides by 2 we get;
Therefore, the value of x nearest to thousandths is, 74.207
Answer:
x = 45
y = 45
z = 11.1
Step-by-step explanation:
Remark
The triangle is a right triangle. That means that it has 1 right angle.
It is also isosceles which means that the two legs that are not the hypotenuse are equal.
Result: z and 11.1 are equal z = 11.1
More remark
If the triangle is isosceles, that means that the angles that are not right angles must also be equal.
90 + x + y = 180
but x = y
90 + 2x = 180 Subtract 90
2x = 180 - 90 Divide by 2
2x/2 = 90/2
x = 45
