Answer:
x=8
Step-by-step explanation:
start by setting angle a equal to angle b
next add 21 to the opposite side
then subtract 2x from the opposite side
finally you're left with x=8
Answer:
1.081
Step-by-step explanation:
1.081330511 rounded is 1.081
Answer:
A. The solutions are
.
B. The factored form of the quadratic expression 
Step-by-step explanation:
A. To find the solutions to the quadratic equation
you must:


The solutions are:

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.
To factor
:
First, multiply the constant in the polynomial by
where
is equal to -1.

Since both terms are perfect squares, factor using the difference of squares formula


Answer:
125 deg
Step-by-step explanation:
Keep these three rules in mind:
1) A central angle (vertex is the center of the circle) has the same measure as the arc it intercepts.
2) The measure of an inscribed angle (vertex is point on circle) is half the measure of the intercepted arc.
3) Opposite angles of a rectangle inscribed in a circle are supplementary.
110 deg is a central angle.
By rule 1), the arc intercepted by the central angle 110 deg also measures 110 deg.
a is an inscribed angle that intercepts an arc of 110 deg.
By rule 2), the measure of an inscribed angle is half the measure of the intercepted arc.
angle a measures 55 deg.
Rule 3) Angles a and b are supplementary.
a + b = 180
55 + b = 180
b = 125